CN112380595B - Temperature deformation prediction model building method and prediction method for super high-rise structure - Google Patents
Temperature deformation prediction model building method and prediction method for super high-rise structure Download PDFInfo
- Publication number
- CN112380595B CN112380595B CN202011163948.0A CN202011163948A CN112380595B CN 112380595 B CN112380595 B CN 112380595B CN 202011163948 A CN202011163948 A CN 202011163948A CN 112380595 B CN112380595 B CN 112380595B
- Authority
- CN
- China
- Prior art keywords
- temperature
- deformation
- super high
- rise structure
- temperature deformation
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Active
Links
- 238000000034 method Methods 0.000 title claims abstract description 72
- 239000011159 matrix material Substances 0.000 claims abstract description 36
- 230000014509 gene expression Effects 0.000 claims abstract description 33
- 238000010238 partial least squares regression Methods 0.000 claims abstract description 11
- 230000001131 transforming effect Effects 0.000 claims abstract 2
- 238000004590 computer program Methods 0.000 claims description 6
- 238000004364 calculation method Methods 0.000 abstract description 9
- 238000004458 analytical method Methods 0.000 abstract description 8
- 238000010276 construction Methods 0.000 description 10
- 238000000691 measurement method Methods 0.000 description 7
- 230000008901 benefit Effects 0.000 description 5
- 238000012417 linear regression Methods 0.000 description 5
- 238000005259 measurement Methods 0.000 description 5
- 230000008569 process Effects 0.000 description 5
- 230000001133 acceleration Effects 0.000 description 3
- 230000008859 change Effects 0.000 description 3
- 238000005516 engineering process Methods 0.000 description 3
- 238000012544 monitoring process Methods 0.000 description 3
- 101000588012 Homo sapiens SREBP regulating gene protein Proteins 0.000 description 2
- 102100031580 SREBP regulating gene protein Human genes 0.000 description 2
- 238000005452 bending Methods 0.000 description 2
- 238000010219 correlation analysis Methods 0.000 description 2
- 230000008878 coupling Effects 0.000 description 2
- 238000010168 coupling process Methods 0.000 description 2
- 238000005859 coupling reaction Methods 0.000 description 2
- 238000009795 derivation Methods 0.000 description 2
- 230000000694 effects Effects 0.000 description 2
- 230000006872 improvement Effects 0.000 description 2
- 230000007774 longterm Effects 0.000 description 2
- 230000007246 mechanism Effects 0.000 description 2
- 238000012805 post-processing Methods 0.000 description 2
- 230000002277 temperature effect Effects 0.000 description 2
- 230000009466 transformation Effects 0.000 description 2
- 239000013598 vector Substances 0.000 description 2
- 230000009286 beneficial effect Effects 0.000 description 1
- 238000000354 decomposition reaction Methods 0.000 description 1
- 230000007547 defect Effects 0.000 description 1
- 238000010586 diagram Methods 0.000 description 1
- 238000000605 extraction Methods 0.000 description 1
- 238000009434 installation Methods 0.000 description 1
- 230000010354 integration Effects 0.000 description 1
- 238000010297 mechanical methods and process Methods 0.000 description 1
- 238000012986 modification Methods 0.000 description 1
- 230000004048 modification Effects 0.000 description 1
- 238000000513 principal component analysis Methods 0.000 description 1
- 238000012847 principal component analysis method Methods 0.000 description 1
- 238000013139 quantization Methods 0.000 description 1
- 238000011160 research Methods 0.000 description 1
- 230000001932 seasonal effect Effects 0.000 description 1
- 238000012916 structural analysis Methods 0.000 description 1
- 238000002076 thermal analysis method Methods 0.000 description 1
- 238000012549 training Methods 0.000 description 1
Classifications
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/10—Geometric CAD
- G06F30/13—Architectural design, e.g. computer-aided architectural design [CAAD] related to design of buildings, bridges, landscapes, production plants or roads
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
- G06F30/23—Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
- G06F2119/08—Thermal analysis or thermal optimisation
Landscapes
- Engineering & Computer Science (AREA)
- Physics & Mathematics (AREA)
- Geometry (AREA)
- Theoretical Computer Science (AREA)
- Computer Hardware Design (AREA)
- General Physics & Mathematics (AREA)
- Evolutionary Computation (AREA)
- General Engineering & Computer Science (AREA)
- Architecture (AREA)
- Civil Engineering (AREA)
- Structural Engineering (AREA)
- Computational Mathematics (AREA)
- Mathematical Analysis (AREA)
- Mathematical Optimization (AREA)
- Pure & Applied Mathematics (AREA)
- Testing Of Devices, Machine Parts, Or Other Structures Thereof (AREA)
Abstract
The invention discloses a temperature deformation prediction model building method and a prediction method of a super high-rise structure, belonging to the technical field of building structure analysis and calculation, comprising the following steps: converting the expression of each element in the vertical strain and deformation D 'of the super high-rise structure into deformation caused by temperature, and recording the deformation as D' caused by the temperature of a core tube in the super high-rise structure; on the basis of D', adding an additional deformation beta.T caused by the temperature of the column around the core tube as the temperature deformation of the super high-rise structureObtaining the expression of temperature deformation and temperature fieldAnd transforming to obtain a linear relationship between the temperature field and the temperature deformation as follows: d=β·t; solving a temperature deformation coefficient matrix beta in D=beta.T by using partial least square regression method, and substituting the matrix beta into an expressionAnd obtaining a temperature deformation regression model of the super high-rise structure. According to the invention, a theoretical linear model between the temperature field and the temperature deformation of the super high-rise structure is established mechanically, and the linear model is solved by adopting a partial least squares regression method, so that the temperature deformation of the super high-rise structure can be accurately predicted.
Description
Technical Field
The invention belongs to the technical field of building structure analysis and calculation, and particularly relates to a temperature deformation prediction model building method and a prediction method of an ultra-high-rise structure.
Background
The world high-rise building and urban human-living society (CTBUH) defines a building with a height exceeding 300 meters as a super-high-rise building, for a super-high-rise building structure, the temperature deformation can be obviously increased along with the increase of the structure height, the structure is deviated from a central line due to excessive lateral deformation, the installation error is easy to generate in the construction process, and even engineering quality problems or safety accidents are caused when serious. Therefore, the method has important engineering significance in accurately predicting the temperature deformation of the super high-rise structure.
In the prior art, measurement methods for temperature deformation of a super high-rise structure have been provided and are mainly divided into a direct measurement method and an indirect measurement method. The method for directly measuring the temperature deformation of the super high-rise building structure mainly comprises a total station, a high-definition camera shooting technology, a GPS (global positioning system) and the like, wherein the total station and the high-definition camera shooting technology are generally only used for short-term monitoring, and cannot meet the long-term monitoring requirements of the structure construction period and the operation period. The GPS technology can realize long-term monitoring of deformation, but the measurement accuracy of the GPS is affected by various factors, such as weather conditions, atmospheric visibility, the number of satellites, the quality of transmitted signals, etc., and the stability of data is to be improved. The method for indirectly measuring the temperature deformation of the super high-rise building structure mainly comprises an acceleration deduction method, but the deformation deduced from acceleration data can generate obvious drift phenomenon, and the drift phenomenon is caused by the existence of a constant term in the process of twice integration of the acceleration to the deformation.
At present, the temperature deformation of the super high-rise building structure can be measured mainly by the two methods, namely a direct measurement method and an indirect measurement method, but the prior art cannot realize the prediction of the temperature deformation due to lack of research on the theoretical mechanism of the temperature field to the temperature deformation.
Disclosure of Invention
Aiming at the defects and improvement demands of the prior art, the invention provides a temperature deformation prediction model building method and a temperature deformation prediction method for an ultra-high-rise structure, and aims to effectively solve the technical problem that the temperature deformation of the ultra-high-rise structure cannot be predicted in the prior art.
In order to achieve the above object, according to an aspect of the present invention, there is provided a temperature deformation prediction model building method for an ultra-high-rise structure, comprising:
According to a temperature strain formula, converting the vertical strain and deformation D '= [ D x,Dy,Dz,θx,θy]T ] of the super high-rise structure into deformation caused by temperature, and recording the deformation as D' caused by temperature of a core tube in the super high-rise structure;
on the basis of the temperature deformation D', an additional deformation beta.T caused by the temperature of the column around the core tube is added as the temperature deformation of the super high-rise structure Thereby obtaining the expression/>, of the temperature deformation and the temperature field of the super high-rise structureAnd the linear relation between the temperature field and the temperature deformation of the super high-rise structure is obtained by transformation: d=β·t; wherein T is a temperature matrix for representing the average temperature of the surface of each pillar, beta is a temperature deformation coefficient matrix,
Solving a temperature deformation coefficient matrix beta in a linear relation D=beta.T by using a partial least squares regression method, and substituting the temperature deformation coefficient matrix beta into an expressionObtaining a temperature deformation regression model of the super high-rise structure;
Wherein D x、Dy、Dz、θx and θ y represent an x-direction horizontal deformation, a y-direction horizontal deformation, a vertical deformation, an x-direction inclination angle, and a y-direction inclination angle, respectively, in the vertical strain and deformation D'; and/> Respectively represent temperature deformation/>The X-direction horizontal deformation, the Y-direction horizontal deformation, the vertical deformation, the X-direction dip angle and the Y-direction dip angle; the x direction, the y direction and the z direction form a rectangular coordinate system, and the z direction is the height direction of the floor.
According to the invention, the expressions of the elements in the vertical strain and deformation of the super high-rise structure are converted into the deformation caused by temperature according to the temperature strain formula, so that the expressions of the vertical strain and deformation of the super high-rise structure can be converted into the expressions related to a temperature field; the converted vertical strain and deformation are used as temperature deformation caused by the temperature of a core tube, additional deformation caused by the temperature of a column around the core tube is added on the basis, and the added result is used as the temperature deformation of the super high-rise structure, so that the structural characteristics of the super high-rise structure can be fully considered, the temperature deformation expression of the super high-rise structure can be accurately obtained, the temperature deformation expression is only related to the temperature, and a theoretical linear model between a temperature field and the temperature deformation of the super high-rise structure is established mechanically; the direct reason for the temperature deformation of the super high-rise structure is that a non-uniform and non-constant temperature field exists in the structure, and the linear model is solved by adopting the partial least square regression method, so that the problem of multiple correlation among independent variables can be solved, the simplification of the data structure can be realized, and the temperature deformation of the super high-rise structure can be accurately predicted.
Further, the vertical strain and deformation D' = [ D x,Dy,Dz,θx,θy]T of the super high-rise structure are obtained by simplifying the super high-rise structure into cantilever columns with fixed supports at the bottom and unconstrained at the top;
wherein, at the height H, Dz＝εH，/> Delta epsilon x、Δεy and epsilon are respectively the vertical strain difference, the vertical strain difference and the vertical average strain of the cross section x of the floor at the height H; b x and b y are floor cross-sectional x-direction and y-direction widths at height H, respectively.
Further, the temperature strain formula is:
Wherein α is the coefficient of thermal expansion; t a、Tex and T ey are respectively the surface average temperature, the gradient temperature in the x direction and the gradient temperature in the y direction; t (x, y) is the cross-sectional arbitrary temperature field, A, I x and I y are the cross-sectional area, the cross-sectional moment of inertia of the x-axis and the y-axis, respectively.
The temperature strain formula can accurately calculate the temperature strain of the super high-rise structure, and the vertical strain and deformation expression of the super high-rise structure can be accurately converted into the temperature-related expression by adopting the temperature strain formula, so that the accuracy of the established model is ensured.
Further, the method comprises the steps of,T＝[Ta1,Ta2,…,Tan]T；
Wherein n is the total number of columns around the core tube, and T a1、Ta2、…、Tan is the average surface temperature of the 1 st column and the 2 nd column … nth column respectively; beta 11、β12…β1n is the x-direction horizontal temperature deformation coefficient; beta 21、β22、…、β2n is the y-direction horizontal temperature deformation coefficient; beta 31、β32、…、β3n is the vertical temperature deformation coefficient; beta 41、β42、…、β4n is the temperature deformation coefficient of the x-direction dip angle; beta 51、β52、…、β5n is the y-direction tilt temperature deformation coefficient.
When the temperature deformation prediction model of the super high-rise structure is built, the influence of the temperature of each column around the core tube on each component in the temperature deformation is fully considered, the built model can be ensured to accurately reflect the structural characteristics of the super high-rise structure, and the accuracy of the built model is ensured.
Further, the method comprises the steps of,Dz-αHTa,θx-αHTey,θy-αHTex]T。
Further, when the temperature deformation coefficient matrix beta in the linear relation D=beta.T is solved by using a partial least squares regression method, a temperature field sample and a temperature deformation sample are obtained by taking one load step per hour.
Because the most obvious time period of temperature change in one day is 6:00 to 18:00 in the daytime, the invention takes one hour as a load step, and the highest benefit can be obtained by integrating the problems of calculation time and calculation precision, so as to avoid overlarge calculated amount caused by overlarge load step or incapability of covering peak deformation caused by overlarge load step, and finally the solving precision can be ensured.
Further, the temperature field sample is obtained by the following steps:
Selecting a section M at the height of the non-floor slab of the super high-rise structure;
At each load step, calculating the x-direction gradient temperature, the y-direction gradient temperature and the surface average temperature of the core tube in the section M and the surface average temperature of each column in the section M to obtain a temperature field sample;
all temperature field samples are formed into a temperature field sample matrix.
Further, the temperature deformation sample is obtained by the following steps:
In each load step, acquiring x-direction horizontal deformation, y-direction horizontal deformation and vertical deformation caused by temperature in a top layer section of the super high-rise structure, taking the inclination angle of the top of the core tube as the included angle between a plane after the top layer section is deformed and the horizontal plane to obtain an x-direction inclination angle and a y-direction inclination angle, and forming a temperature deformation sample corresponding to the current load step by the acquired x-direction horizontal deformation, y-direction horizontal deformation, vertical deformation, x-direction inclination angle and y-direction inclination angle;
All the temperature deformation samples form a temperature deformation sample matrix.
Because the construction is performed on the top layer of the super high-rise structure in the actual engineering, when the temperature deformation sample is obtained, the sample is obtained on the section of the top layer of the super high-rise structure, so that the built model can accurately predict the temperature deformation of the top layer, and the construction measurement error is reduced in the actual engineering.
According to another aspect of the present invention, there is provided a temperature deformation prediction method of a super high-rise structure, comprising:
selecting a section N at the height of the non-floor slab of the super high-rise structure;
Calculating the x-direction gradient temperature, the y-direction gradient temperature and the surface average temperature of the core tube in the section N and the surface average temperature of each column in the section N to obtain temperature field data
Data of temperature fieldSubstituting the temperature deformation regression model obtained by the temperature deformation prediction model establishment method of the super high-rise structure, calculating to obtain the x-direction horizontal deformation, the y-direction horizontal deformation, the vertical deformation, the x-direction inclination angle and the y-direction inclination angle of the super high-rise structure caused by temperature, and finishing the temperature deformation prediction of the super high-rise structure.
According to yet another aspect of the present invention, there is provided a computer readable storage medium comprising a stored computer program;
when the computer program is executed by the processor, the equipment where the computer readable storage medium is located is controlled to execute the method for establishing the temperature deformation prediction model of the super high-rise structure, and/or the method for predicting the temperature deformation of the super high-rise structure.
In general, through the above technical solutions conceived by the present invention, the following beneficial effects can be obtained:
(1) According to the invention, the expressions of the elements in the vertical strain and deformation of the super high-rise structure are converted into the deformation caused by temperature according to the temperature strain formula, so that the expressions of the vertical strain and deformation of the super high-rise structure can be converted into the expressions related to a temperature field; the converted vertical strain and deformation are used as temperature deformation caused by the temperature of a core tube, additional deformation caused by the temperature of a column around the core tube is added on the basis, and the added result is used as the temperature deformation of the super high-rise structure, so that the structural characteristics of the super high-rise structure can be fully considered, the temperature deformation expression of the super high-rise structure can be accurately obtained, the temperature deformation expression is only related to the temperature, and a theoretical linear model between a temperature field and the temperature deformation of the super high-rise structure is established mechanically; the direct reason for temperature deformation of the super high-rise structure is that a non-uniform and non-constant temperature field exists in the structure, and the linear model is solved by adopting the partial least square regression method, so that the multi-correlation of a temperature matrix can be overcome, the temperature component with the maximum interpretation on the temperature deformation can be effectively screened out, and the solved temperature deformation coefficient has good stability, so that the temperature deformation of the super high-rise structure can be accurately predicted.
(2) The invention provides a temperature deformation prediction method of an ultra-high-rise structure, which can be used for predicting the temperature deformation of the ultra-high-rise building structure, reducing the temperature deformation of the structure caused by an uneven temperature field in the construction process, and improving the construction measurement precision and the construction quality.
Drawings
FIG. 1 is a flowchart of a method for establishing a temperature deformation prediction model of a super high-rise structure according to an embodiment of the present invention;
FIG. 2 is a flow chart of a temperature deformation prediction method for a super high-rise structure according to an embodiment of the present invention;
FIG. 3 is a top view of a construction of a Yangtze river shipping center for Wuhan and a typical floor plan of the Yangtze river shipping center for Wuhan provided by an embodiment of the invention; wherein, (a) is a building aerial view of the martial arts Yangtze river shipping center, and (b) is a typical floor plan of the martial arts Yangtze river shipping center;
Fig. 4 is a schematic diagram of a temperature deformation prediction effect of a super high-rise structure according to an embodiment of the present invention; wherein, (a) is a comparison graph of an x-direction horizontal deformation predicted value and a reference value, (b) is a comparison graph of a y-direction horizontal deformation predicted value and a reference value, (c) is a comparison graph of a vertical deformation predicted value and a reference value, (d) is a comparison graph of an x-direction inclination angle predicted value and a reference value, and (e) is a comparison graph of a y-direction inclination angle predicted value and a reference value.
Detailed Description
The present invention will be described in further detail with reference to the drawings and examples, in order to make the objects, technical solutions and advantages of the present invention more apparent. It should be understood that the specific embodiments described herein are for purposes of illustration only and are not intended to limit the scope of the invention. In addition, the technical features of the embodiments of the present invention described below may be combined with each other as long as they do not collide with each other.
In the present invention, the terms "first," "second," and the like in the description and in the drawings, if any, are used for distinguishing between similar objects and not necessarily for describing a particular sequential or chronological order.
In order to solve the technical problem that the prior art cannot realize the temperature deformation prediction of the super high-rise structure, the invention provides a temperature deformation prediction model building method and a prediction method of the super high-rise structure, and the whole thought is as follows: the mechanism explanation of the temperature field and the temperature deformation is emphasized, the relation between the temperature field and the strain is deduced by simplifying the temperature deformation mode of the super high-rise structure into a bending type, and the theoretical relation between the temperature field and the temperature deformation is finally obtained by combining the calculus relation between the deformation of the main structure and the strain; when the method is applied to actual engineering, the temperature deformation coefficient is solved by utilizing a large amount of known temperature fields and temperature deformation data based on a partial least square regression method, and finally the temperature deformation regression model of the super high-rise structure is obtained, so that the temperature deformation prediction of the super high-rise structure is realized.
Since most of the super high-rise structures are concrete frame-core tube systems, the following examples illustrate such systems. The following are examples:
Example 1:
a temperature deformation prediction model building method of a super high-rise structure is shown in fig. 1, and comprises the following steps:
According to a temperature strain formula, converting the vertical strain and deformation D '= [ D x,Dy,Dz,θx,θy]T ] of the super high-rise structure into deformation caused by temperature, and recording the deformation as D' caused by temperature of a core tube in the super high-rise structure; wherein D x、Dy、Dz、θx and θ y represent an x-direction horizontal deformation, a y-direction horizontal deformation, a vertical deformation, an x-direction inclination angle, and a y-direction inclination angle, respectively, in the vertical strain and deformation D';
on the basis of the temperature deformation D', an additional deformation beta.T caused by the temperature of the column around the core tube is added as the temperature deformation of the super high-rise structure Thereby obtaining the expression/>, of the temperature deformation and the temperature field of the super high-rise structureAnd the linear relation between the temperature field and the temperature deformation of the super high-rise structure is obtained by transformation: d=β·t; wherein T is a temperature matrix for representing the average temperature of the surface of each pillar, beta is a temperature deformation coefficient matrix, And/>Respectively represent temperature deformation/>The X-direction horizontal deformation, the Y-direction horizontal deformation, the vertical deformation, the X-direction dip angle and the Y-direction dip angle;
solving a temperature deformation coefficient matrix beta in a linear relation D=beta.T by using a partial least squares regression method, and substituting the temperature deformation coefficient matrix beta into an expression Obtaining a temperature deformation regression model of the super high-rise structure;
Wherein, the x direction, the y direction and the z direction form a rectangular coordinate system, and the z direction is the height direction of the floor; as an alternative implementation manner, in this embodiment, the north direction is taken as the y direction, and the east direction is taken as the x direction;
As an optional implementation manner, in this embodiment, the vertical strain and deformation D' = [ D x,Dy,Dz,θx,θy]T of the super high-rise structure are obtained by simplifying the super high-rise structure into cantilever columns with fixed bottom and unconstrained top;
wherein, at the height H, Dz＝εH，/> Delta epsilon x、Δεy and epsilon are respectively the vertical strain difference, the vertical strain difference and the vertical average strain of the cross section x of the floor at the height H; b x and b y are floor cross-sectional x-direction and y-direction widths at height H, respectively; d x and D y are horizontal deformations, D z is vertical deformations, and θ x and θ y are tilt angles;
In order to transform the expressions of the elements in the vertical strain and deformation D' of the super high-rise structure into the expressions related to temperature, as a preferred embodiment, the temperature strain formula used in this embodiment is:
Wherein α is the coefficient of thermal expansion; t a、Tex and T ey are respectively the surface average temperature, the gradient temperature in the x direction and the gradient temperature in the y direction; T (x, y) is the cross-sectional arbitrary temperature field, A, I x and I y are the cross-sectional area, the cross-sectional moment of inertia of the x-axis and the y-axis, respectively;
the above temperature strain formula can accurately calculate the temperature strain of the super high-rise structure, and the specific theoretical derivation process can refer to the invention patent application document of application publication number CN111460545A, entitled "a method and system for efficiently calculating the temperature strain of the super high-rise structure", which will not be described in detail herein;
According to the embodiment, the vertical strain and deformation expression of the super high-rise structure is transformed by adopting the temperature strain formula, so that the vertical strain and deformation expression of the super high-rise structure can be accurately transformed into a temperature-related expression, and the accuracy of an established model is ensured;
Substituting the above temperature strain formula into the element expressions of the vertical strain and deformation D' = [ D x,Dy,Dz,θx,θy]T ] of the super high-rise structure, and obtaining the following results:
Dz＝αHTA；
θx＝αHTey；
θy＝αHTex；
in the present embodiment of the present invention, T＝[Ta1,Ta2,…,Tan]T；
Wherein n is the total number of columns around the core tube, and T a1、Ta2、…、Tan is the average surface temperature of the 1 st column and the 2 nd column … nth column respectively; beta 11、β12…β1n is the x-direction horizontal temperature deformation coefficient; beta 21、β22、…、β2n is the y-direction horizontal temperature deformation coefficient; beta 31、β32、…、β3n is the vertical temperature deformation coefficient; beta 41、β42、…、β4n is the temperature deformation coefficient of the x-direction dip angle; beta 51、β52、…、β5n is the temperature deformation coefficient of the y-direction dip angle;
When the temperature deformation prediction model of the super high-rise structure is built, the influence of the temperature of each column around the core tube on each component in the temperature deformation is fully considered, the built model can be ensured to accurately reflect the structural characteristics of the super high-rise structure, and the accuracy of the built model is ensured;
after considering the influence of the pillars around the core tube on the main structure, the temperature deformation of the super high-rise structure The expressions of the elements are as follows:
The above expression reflects the basic relationship between the temperature deformation and the temperature field of the super high-rise structure, and has the following characteristics:
The temperature deformation of the super high-rise main body structure can be divided into two parts: part of the temperature deformation is the temperature deformation caused by the temperature field of the core tube, namely the first term on the right side of the equation of the formula; the other part is the additional deformation caused by the temperature deformation of Zhou Weizhu, namely the other terms to the right of the equation of the formula except the first term. The temperature deformation of the body structure can be expressed as a linear combination of the characteristic temperature (face average temperature, gradient temperature) of the body structure and the face average temperature of all the pillars;
the basic relation between the temperature field and the temperature deformation is simply transformed so that one side of the equation only contains the calculation expression related to the temperature deformation coefficient, and the result is as follows:
Accordingly, it is possible to obtain Dz-αHTa,θx-αHTey,θy-αHTex]T。
The direct cause of the temperature distortion is the presence of a non-uniform, non-constant temperature field inside the structure. There has been proposed a finite element method for simulating a time-varying temperature field of a structure in real time by creating a virtual sun. On this basis, when the temperature deformation mode of the super high-rise structure is simplified to be a bending type, a relational expression of a temperature field and a strain can be deduced. The structural deformation and the vertical strain have a calculus relation, and a relation between the deformation and the vertical strain can be obtained through simple mathematical derivation. If a temperature strain formula is combined, a theoretical relationship between temperature and deformation can be established. For a certain practical super high-rise structure, the temperature deformation formula often has more unknown quantity, namely temperature deformation coefficient, and the accurate temperature deformation coefficient is difficult to solve by adopting a conventional mechanical method, but the temperature deformation coefficient can be obtained by inversion of a large amount of known temperature and temperature deformation data by a multiple linear regression method, so that the temperature deformation coefficient is a feasible method in engineering. The traditional multiple linear regression method, such as a common least square method, a ridge regression method, a singular value decomposition method, a principal component analysis method, a typical correlation analysis method and the like, can solve a common linear regression model, but the traditional method has no obvious advantages in applicability and model simplicity due to serious multiple correlations among temperature variables involved in the study, and partial least square regression is a second generation linear regression method, integrates the functions and characteristics of multiple linear regression, principal component analysis and typical correlation analysis, can not only solve the problem of multiple correlations among independent variables, but also can realize the simplification of a data structure. It can be seen that the method for solving the temperature deformation of the super high-rise structure based on the partial least squares regression method has unique advantages.
When solving an unknown temperature deformation coefficient in a linear relation D=beta.T by using a partial least square method, acquiring a temperature field sample and a temperature deformation sample;
Considering that the most obvious time period of temperature change in one day is 6:00 to 18:00 in daytime, in order to avoid overlarge calculated amount caused by overlarge load steps or incapability of covering peak deformation caused by overlarge load steps, so as to further improve solving accuracy, as a preferable real-time mode, in the embodiment, when a temperature deformation coefficient matrix beta in a linear relation D=beta.T is solved by utilizing a partial least squares regression method, a temperature field sample and a temperature deformation sample are obtained by taking one load step per hour;
Specifically, the mode of acquiring the temperature field sample is as follows:
Selecting a section M at the height of the non-floor slab of the super high-rise structure;
At each load step, calculating the x-direction gradient temperature, the y-direction gradient temperature and the surface average temperature of the core tube in the section M and the surface average temperature of each column in the section M to obtain a temperature field sample;
all the temperature field samples form a temperature field sample matrix;
In the actual calculation, according to Calculating the temperature of the x-direction gradient, the temperature of the y-direction gradient and the average temperature of the surface of the core tube in the section M according to/>(K represents the kth column, k is not less than 1 and not more than n) calculating the average surface temperature of the column; the total number of the load steps is P, so that P temperature field samples can be obtained altogether, and each temperature field sample contains n+3 temperature sample point data; the temperature field sample matrix consists of the P temperature field samples, and the temperature field sample matrix is marked as Mtx T;
The mode of obtaining the temperature deformation sample is as follows:
In each load step, acquiring x-direction horizontal deformation, y-direction horizontal deformation and vertical deformation caused by temperature in a top layer section of the super high-rise structure, taking the inclination angle of the top of the core tube as the included angle between a plane after the top layer section is deformed and the horizontal plane to obtain an x-direction inclination angle and a y-direction inclination angle, and forming a temperature deformation sample corresponding to the current load step by the acquired x-direction horizontal deformation, y-direction horizontal deformation, vertical deformation, x-direction inclination angle and y-direction inclination angle; in this embodiment, when calculating the x-direction inclination angle and the y-direction inclination angle, the counterclockwise direction is positive;
All the temperature deformation samples form a temperature deformation sample matrix;
When the x-direction horizontal deformation, the y-direction horizontal deformation, the vertical deformation, the x-direction inclination angle and the y-direction inclination angle caused by the temperature in the top layer section of the super high-rise structure are obtained, the measurement can be carried out by adopting the existing direct measurement method and the indirect measurement method or the calculation is carried out by adopting the finite element thermal-structure coupling analysis method; the total number of the load steps is P, so that P temperature deformation samples can be obtained altogether, and each temperature deformation sample contains 5 temperature deformation sample point data; the temperature deformation sample matrix consists of the P temperature deformation samples, and the temperature deformation sample matrix is marked as Mtx D;
Because in actual engineering, construction is carried out on the top layer of the super high-rise structure, when the temperature deformation sample is obtained, the sample is obtained on the cross section of the top layer of the super high-rise structure, so that the built model can accurately predict the temperature deformation of the top layer, and construction measurement errors are reduced in the actual engineering.
After the temperature field sample matrix is marked as Mtx T and the temperature deformation sample matrix is marked as Mtx D, the specific method for solving the temperature deformation coefficient by using the partial least squares regression method is as follows: the main components g 1 and h 1 are extracted in Mtx T and Mtx D respectively, so that g 1、h1 simultaneously satisfies the following two conditions: 1) g 1 and h 1 carry as much information in the Mtx T and Mtx D matrices, respectively, as possible; 2) g 1 and h 1 are most relevant. g 1 and h 1 are respectively linear combinations of an original temperature matrix and a temperature deformation matrix vector, after the first pair of main components g 1 and h 1 are extracted, respectively carrying out least squares regression of Mtx T to g 1 and least squares regression of Mtx D to h 1 to respectively obtain regression coefficients zeta 1 and v 1, judging whether the expected accuracy is reached, and if so, stopping regression; otherwise, extracting residual information Mtx T1 after Mtx T is interpreted by g 1 and residual information Mtx D1 after Mtx D is interpreted by h 1, performing a second round of principal component extraction and regression on Mtx T1 and Mtx D1, and repeating the first round of process until the expected accuracy is satisfied. And multiplying the main component g 1,g2,…,gk of the finally extracted Mtx T by a main component regression coefficient zeta 1,ξ2,…,ξk to obtain a required temperature deformation regression formula.
In general, the present embodiment converts the expressions of the elements in the vertical strain and deformation of the super high-rise structure into the deformation caused by the temperature according to the temperature strain equation, thereby being able to convert the expressions of the vertical strain and deformation of the super high-rise structure into the expressions related to the temperature field; the converted vertical strain and deformation are used as temperature deformation caused by the temperature of a core tube, additional deformation caused by the temperature of a column around the core tube is added on the basis, and the added result is used as the temperature deformation of the super high-rise structure, so that the structural characteristics of the super high-rise structure can be fully considered, the temperature deformation expression of the super high-rise structure can be accurately obtained, the temperature deformation expression is only related to the temperature, and a theoretical linear model between a temperature field and the temperature deformation of the super high-rise structure is established mechanically; the direct reason for the temperature deformation of the super high-rise structure is that a non-uniform and non-constant temperature field exists in the structure, and the linear model is solved by adopting a partial least square regression method in the embodiment, so that the problem of multiple correlations among independent variables can be processed, the simplification of the data structure can be realized, and the temperature deformation of the super high-rise structure can be accurately predicted.
Example 2:
The temperature deformation prediction method of the super high-rise structure, as shown in fig. 2, comprises the following steps:
selecting a section N at the height of the non-floor slab of the super high-rise structure;
Calculating the x-direction gradient temperature, the y-direction gradient temperature and the surface average temperature of the core tube in the section N and the surface average temperature of each column in the section N to obtain temperature field data
Data of temperature fieldSubstituting the temperature deformation regression model obtained by the temperature deformation prediction model establishment method of the super high-rise structure, calculating to obtain the x-direction horizontal deformation, the y-direction horizontal deformation, the vertical deformation, the x-direction inclination angle and the y-direction inclination angle of the super high-rise structure caused by temperature, and finishing the temperature deformation prediction of the super high-rise structure.
Example 3:
a computer readable storage medium comprising a stored computer program;
When the computer program is executed by the processor, the apparatus in which the computer readable storage medium is located is controlled to execute the method for establishing the model for predicting the temperature deformation of the super high-rise structure provided in the above embodiment 1 and/or the method for predicting the temperature deformation of the super high-rise structure provided in the above embodiment 2.
The following further explains the advantages achieved by the present invention in conjunction with an actual application scenario.
Taking the martial arts of the navigation center of the Yangtze river with the height of 335 meters as an object, an aerial view and a plan view of the super high-rise structure are respectively shown as (a) and (b) in fig. 3, the structural form of the super high-rise building is a typical concrete frame-core tube system, the typical floor plane is square, the plane size is 50.6mx50.6m, the appearance of the core tube is square, and the plane size is 28.2mx28.2m. The outer frame comprises 20 giant columns, and the core tube is connected with the giant columns through concrete beams and floors.
The weather data of 1 st 2017 to 31 st 2017 are selected, one load step is taken every hour, when the thermal boundary condition is applied, the weather parameter change along the height direction of the building is not considered, and the temperature field of 8760 hours of a model is calculated by using a virtual sun method described in the prior literature. At the same time, the temperature effect caused by this temperature field can also be calculated on the ANSYS platform. In actual operation, the thermal-structural coupling analysis can be performed by converting the thermal analysis unit Solid90 into the structural analysis unit Solid186 and then applying the temperature field as a temperature load to the structural model, and similarly, the temperature effect of the model 8760 hours can be calculated. According to the method provided in the above example 1, the required temperature field sample and temperature deformation sample are extracted as follows:
(1) And (5) extracting temperature data. Selecting any floor, taking the height of the non-floor as the cross section, setting a load step in an ANSYS POST-processing analysis POST1, according to a formula, Respectively calculating the x-direction gradient temperature, the y-direction gradient temperature and the surface average temperature of the core tube, and according to the formula/>The average surface temperature of 20 columns was calculated. The above calculation procedure was repeated for 8760 load steps to obtain 8760 temperature field samples, i.e., 8760×23 temperature sample point data, thereby constructing a temperature field sample matrix.
(2) And (5) extracting temperature deformation data. Selecting the top section of the core tube, setting a load step in ANSYS POST-processing analysis POST1, taking the deformation of the top of the core tube as the deformation average value of all nodes of the section, and obtaining the horizontal deformation in the x directionY-direction horizontal deformation/>And vertical deformation/>Taking the inclination angle of the top of the core tube as the included angle between the plane and the horizontal plane after the selected section is deformed, and taking the anticlockwise direction as the positive direction to obtain the x-direction inclination angle/>And y-tilt/>The above calculation procedure was repeated for 8760 load steps to obtain 8760 temperature deformation samples in total, that is, 8760×5 temperature deformation sample point data, thereby constructing a temperature deformation sample matrix.
To verify the correctness of the method of the present invention, 8760 sample point data are divided into two parts: the first part selects the first 7000 sample points as training samples, and is mainly used for establishing a regression model; the second part selects the rest 1760 sample points as prediction samples for evaluating the merits of the regression model.
And (3) normalizing the temperature field sample matrix Mtx T and the temperature deformation sample matrix Mtx D (the mean value is 0 and the standard deviation is 1), and recording five temperature deformation regression models corresponding to the x-direction horizontal deformation, the y-direction horizontal deformation, the vertical deformation, the x-direction inclination angle and the y-direction inclination angle as a model one, a model two, a model three, a model four and a model five respectively.
The number of the most suitable principal components of the five models determined by the partial least squares regression method is 5, 3, 5 and 5 in sequence, and the final partial least squares regression model is as follows:
In the above formula, T cpq represents the q (q=1, 2,3,4 when p=3, q=1, 2,3,4 when p+.3) temperature principal component in the p (m=1, 2,3,4, 5) th regression model.
Based on the established temperature deformation partial least square regression model, the 1760 prediction samples are subjected to prediction analysis, firstly, the temperature vectors of the prediction samples are converted into temperature main components corresponding to the temperature deformation, then the temperature main components are respectively brought into the temperature deformation regression model to calculate the temperature deformation, and finally, the prediction value is compared with the reference value.
As shown in fig. 4, the comparison graphs of the predicted values and the reference values corresponding to the five regression models are shown in fig. 4, and the comparison graphs of the x-direction horizontal deformation predicted values and the reference values, the comparison graphs of the y-direction horizontal deformation predicted values and the reference values, the comparison graphs of the vertical deformation predicted values and the reference values, the comparison graphs of the x-direction inclination angle predicted values and the reference values, and the comparison graphs of the y-direction inclination angle predicted values and the reference values are shown in fig. 4 (a) to (e), respectively. As can be seen from the results shown in fig. 4, the predicted value obtained based on the temperature deformation regression model of the super high-rise structure established in the above-mentioned example 1 is substantially consistent with the variation trend of the reference value, and the predicted curve has no obvious drift phenomenon, which indicates that the stability of the regression model is good.
The prediction error quantization indexes corresponding to the five models are shown in table 1. From the results shown in Table 1, the average relative error corresponding to the maximum among the five models was 8.49%, and among these, the prediction effect of model three was the best, with the average relative error being 4.39%. The maximum absolute errors for deformation and tilt angle were 2.71mm and 8.62X10-6 rad, respectively. The result shows that the regression model can better predict the linear relation between the temperature and the temperature deformation.
TABLE 1
The analysis proves that the temperature deformation partial least square regression model established by the invention can be relatively stable fit reference values within the period of one year, and the predicted result has no obvious drifting phenomenon, so that the method provided by the invention is suitable for predicting the temperature deformation caused by seasonal temperature difference and sunlight temperature difference.
It will be readily appreciated by those skilled in the art that the foregoing description is merely a preferred embodiment of the invention and is not intended to limit the invention, but any modifications, equivalents, improvements or alternatives falling within the spirit and principles of the invention are intended to be included within the scope of the invention.
Claims (9)
1. The method for establishing the temperature deformation prediction model of the super high-rise structure is characterized by comprising the following steps of:
Converting the vertical strain and deformation D '= [ D x,Dy,Dz,θx,θy]T ] of the super high-rise structure into deformation caused by temperature according to a temperature strain formula, wherein the deformation is marked as D' when the deformation is caused by temperature of a core tube in the super high-rise structure;
Adding an additional deformation beta.T caused by the temperature of the column around the core tube as the temperature deformation of the super high-rise structure on the basis of the temperature deformation D', and Thereby obtaining the expression/>, of the temperature deformation and the temperature field of the super high-rise structureAnd transforming to obtain the linear relation between the temperature field and the temperature deformation of the super high-rise structure as follows: d=β·t; wherein T is a temperature matrix for representing the average temperature of the surface of each pillar, beta is a temperature deformation coefficient matrix,
Solving a temperature deformation coefficient matrix beta in a linear relation D=beta.T by using a partial least squares regression method, and substituting the temperature deformation coefficient matrix beta into the expressionObtaining a temperature deformation regression model of the super high-rise structure;
Wherein D x、Dy、Dz、θx and θ y represent an x-direction horizontal deformation, a y-direction horizontal deformation, a vertical deformation, an x-direction inclination angle, and a y-direction inclination angle, respectively, in the vertical strain and deformation D'; and/> Respectively represent the temperature deformation/>The X-direction horizontal deformation, the Y-direction horizontal deformation, the vertical deformation, the X-direction dip angle and the Y-direction dip angle; the x direction, the y direction and the z direction form a rectangular coordinate system, and the z direction is the height direction of the floor; the temperature strain formula is as follows:
Wherein α is the coefficient of thermal expansion; t a、Tex and T ey are respectively the surface average temperature, the gradient temperature in the x direction and the gradient temperature in the y direction; T (x, y) is the cross-sectional arbitrary temperature field, A, I x and I y are the cross-sectional area, the cross-sectional moment of inertia of the x-axis and the y-axis, respectively; delta epsilon x、Δεy and epsilon are respectively the vertical strain difference, the vertical strain difference and the vertical average strain of the cross section x of the floor at the height H; b x and b y are floor cross-sectional x-direction and y-direction widths at height H, respectively.
2. The method for building a temperature deformation prediction model of a super high-rise structure according to claim 1, wherein the vertical strain and deformation D' = [ D x,Dy,Dz,θx,θy]T of the super high-rise structure are obtained by simplifying the super high-rise structure into cantilever columns with fixed bottoms and unconstrained tops;
wherein, at the height H, Dz＝εH，/>
3. The method for constructing a model for predicting temperature deformation of a super high-rise structure according to claim 2, wherein,
T＝[Ta1,Ta2,…,Tan]T；
Wherein n is the total number of columns around the core tube, and T a1、Ta2、…、Tan is the average surface temperature of the 1 st column and the 2 nd column … nth column respectively; beta 11、β12…β1n is the x-direction horizontal temperature deformation coefficient; beta 21、β22、…、β2n is the y-direction horizontal temperature deformation coefficient; beta 31、β32、…、β3n is the vertical temperature deformation coefficient; beta 41、β42、…、β4n is the temperature deformation coefficient of the x-direction dip angle; beta 51、β52、…、β5n is the y-direction tilt temperature deformation coefficient.
4. The method for constructing a model for predicting temperature deformation of a super high-rise structure according to claim 3, wherein,
5. The method for building a model for predicting temperature deformation of a super high-rise structure according to any one of claims 1 to 4, wherein when solving the temperature deformation coefficient matrix β in the linear relationship d=β·t by using the partial least squares regression method, the temperature field sample and the temperature deformation sample are obtained in one load step per hour.
6. The method for building a temperature deformation prediction model of a super high-rise structure according to claim 5, wherein the mode of obtaining the temperature field sample is as follows:
selecting a section M at the height of the non-floor slab of the super high-rise structure;
calculating the x-direction gradient temperature, the y-direction gradient temperature and the surface average temperature of the core tube in the section M and the surface average temperature of each column in the section M in each load step to obtain a temperature field sample;
all temperature field samples are formed into a temperature field sample matrix.
7. The method for building a temperature deformation prediction model of a super high-rise structure according to claim 5, wherein the method for obtaining the temperature deformation sample is as follows:
In each load step, acquiring x-direction horizontal deformation, y-direction horizontal deformation and vertical deformation caused by temperature in a top layer section of the super high-rise structure, taking the inclination angle of the top of the core tube as the included angle between a plane after the top layer section is deformed and the horizontal plane, and acquiring an x-direction inclination angle and a y-direction inclination angle, wherein the acquired x-direction horizontal deformation, y-direction horizontal deformation, vertical deformation, x-direction inclination angle and y-direction inclination angle form a temperature deformation sample corresponding to the current load step;
All the temperature deformation samples form a temperature deformation sample matrix.
8. The temperature deformation prediction method for the super high-rise structure is characterized by comprising the following steps of:
Selecting a section N at the height of the non-floor slab of the super high-rise structure;
calculating the x-direction gradient temperature, the y-direction gradient temperature and the surface average temperature of the core tube in the section N, and the surface average temperature of each column in the section N to obtain temperature field data
Data of the temperature fieldSubstituting the temperature deformation regression model obtained by the temperature deformation prediction model building method of the super high-rise structure according to any one of claims 1-7, and calculating to obtain the x-direction horizontal deformation, y-direction horizontal deformation, vertical deformation, x-direction inclination angle and y-direction inclination angle of the super high-rise structure caused by temperature, thereby completing the temperature deformation prediction of the super high-rise structure.
9. A computer readable storage medium comprising a stored computer program;
when the computer program is executed by a processor, the device where the computer readable storage medium is located is controlled to execute the method for building the temperature deformation prediction model of the super high-rise structure according to any one of claims 1 to 7, and/or the method for predicting the temperature deformation of the super high-rise structure according to claim 8.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202011163948.0A CN112380595B (en) | 2020-10-27 | 2020-10-27 | Temperature deformation prediction model building method and prediction method for super high-rise structure |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202011163948.0A CN112380595B (en) | 2020-10-27 | 2020-10-27 | Temperature deformation prediction model building method and prediction method for super high-rise structure |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN112380595A CN112380595A (en) | 2021-02-19 |
| CN112380595B true CN112380595B (en) | 2024-04-19 |
Family
ID=74577355
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN202011163948.0A Active CN112380595B (en) | 2020-10-27 | 2020-10-27 | Temperature deformation prediction model building method and prediction method for super high-rise structure |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN112380595B (en) |
Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN104298191A (en) * | 2014-08-21 | 2015-01-21 | 上海交通大学 | Heat prediction management based energy consumption control method in intelligent building |
| CN108549732A (en) * | 2017-12-19 | 2018-09-18 | 中南大学 | Roller Conveying Kiln for Temperature soft-measuring modeling method based on local secondary Weighted Kernel principal component regression |
| RU2699918C1 (en) * | 2018-03-07 | 2019-09-11 | Наталия Михайловна Алмазова | Diagnostic method of technical state of buildings and structures |
| CN111460545A (en) * | 2020-03-11 | 2020-07-28 | 华中科技大学 | Method and system for efficiently calculating temperature strain of super high-rise structure |
-
2020
- 2020-10-27 CN CN202011163948.0A patent/CN112380595B/en active Active
Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN104298191A (en) * | 2014-08-21 | 2015-01-21 | 上海交通大学 | Heat prediction management based energy consumption control method in intelligent building |
| CN108549732A (en) * | 2017-12-19 | 2018-09-18 | 中南大学 | Roller Conveying Kiln for Temperature soft-measuring modeling method based on local secondary Weighted Kernel principal component regression |
| RU2699918C1 (en) * | 2018-03-07 | 2019-09-11 | Наталия Михайловна Алмазова | Diagnostic method of technical state of buildings and structures |
| CN111460545A (en) * | 2020-03-11 | 2020-07-28 | 华中科技大学 | Method and system for efficiently calculating temperature strain of super high-rise structure |
Non-Patent Citations (2)
| Title |
|---|
| Efficient calculation and monitoring of temperature actions on supertall structures;Fei Gao 等;Engineering Structures;20190513;全文 * |
| 热膨胀系数时变性对混凝土温度应力仿真影响;卢春鹏 等;浙江大学学报（工学版）;20190228;第53卷(第2期);全文 * |
Also Published As
| Publication number | Publication date |
|---|---|
| CN112380595A (en) | 2021-02-19 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| Su et al. | Review on field monitoring of high‐rise structures | |
| Esfandiari et al. | Finite element model updating using frequency response function of incomplete strain data | |
| CN113111547B (en) | Frequency domain finite element model correction method based on reduced basis | |
| US20230003595A1 (en) | Damage identification method based on cable force tests of cable system and test error self-adaptive analysis | |
| US20200034500A1 (en) | A sensor placement method for capturing structural local deformation and global modal information | |
| CN103162711B (en) | Method and device for high-dynamic star sensor image intensifier error compensation | |
| Ruggieri et al. | A numerical procedure for modeling the floor deformability in seismic analysis of existing RC buildings | |
| CN107480097B (en) | Load identification method and load identification equipment for nonlinear mechanical structure | |
| CN107102332A (en) | The three-dimensional earth's surface deformation monitoring methods of InSAR based on variance components estimate and strees strain model | |
| Taher et al. | Earthquake input and state estimation for buildings using absolute floor accelerations | |
| CN110686592B (en) | Combined measuring method for large-size target object | |
| CN112380595B (en) | Temperature deformation prediction model building method and prediction method for super high-rise structure | |
| Li et al. | Global temperature behavior monitoring and analysis of a three-tower cable-stayed bridge | |
| CN117054022A (en) | Method and system for extracting fine deformation of bridge | |
| CN108304649B (en) | High-rise building deformation prediction method | |
| CN110318338B (en) | Measurement control method for installing and positioning steel anchor beam | |
| CN109033633B (en) | High-rise building wind-induced response boundary assessment method based on Du Hamei integral and convex model | |
| Tian et al. | Nonlinear time-varying analysis algorithms for modeling the behavior of complex rigid long-span steel structures during construction processes | |
| Lei et al. | A Smoothing EKF‐UI‐WDF Method for Simultaneous Identification of Structural Systems and Unknown Seismic Inputs without Direct Feedthrough | |
| CN106017482B (en) | A kind of spatial operation relative orbit control error calculation method based on no mark recursion | |
| CN112487689B (en) | Mixed test method based on statistical CKF model updating | |
| Park et al. | Equivalent static wind loads vs. database-assisted design of tall buildings: An assessment | |
| Hsu et al. | PDP method to compesate for rotational effect when using a single surveillance camera for interstory drift measurement | |
| Pan | Earthquake ground motion estimation for buildings using absolute floor acceleration response data | |
| CN109238667B (en) | Control method of condition control device for space lateral constraint loading of test component |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| PB01 | Publication | ||
| PB01 | Publication | ||
| SE01 | Entry into force of request for substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| GR01 | Patent grant | ||
| GR01 | Patent grant |