CN114491757B - Gravity center positioning method for special-shaped pier column of assembled bridge based on severe mathematical model - Google Patents
Gravity center positioning method for special-shaped pier column of assembled bridge based on severe mathematical model Download PDFInfo
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- 230000005484 gravity Effects 0.000 title claims abstract description 38
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- 239000004567 concrete Substances 0.000 claims abstract description 40
- 238000010276 construction Methods 0.000 claims abstract description 33
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- 210000001503 joint Anatomy 0.000 claims description 10
- 230000001360 synchronised effect Effects 0.000 claims description 3
- 229910001294 Reinforcing steel Inorganic materials 0.000 description 5
- XEEYBQQBJWHFJM-UHFFFAOYSA-N Iron Chemical compound [Fe] XEEYBQQBJWHFJM-UHFFFAOYSA-N 0.000 description 2
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Abstract
The invention discloses a gravity center positioning method for an assembled bridge special-shaped pier column based on a severe mathematical model, which has the advantages of high positioning accuracy, good construction quality, safety and reliability. The method of the invention comprises the following steps: (10) three-dimensional volume model establishment: according to a design drawing of the concrete pier column, a concrete three-dimensional volume model of the bridge special-shaped pier column is established; and (20) correcting the details of the bridge special-shaped pier column: carrying out detail correction on the concrete three-dimensional volume model of the bridge special-shaped pier column; and (30) constructing an internal reinforcement cage model: according to a design drawing of the concrete pier column, an internal reinforcement cage model is established and overlapped with the concrete three-dimensional volume model, and a reinforced concrete structure model of the bridge special-shaped pier column is obtained; (40) material weight assignment: giving a severe value to various materials in the reinforced concrete structure model of the bridge special-shaped pier column; and (50) hoisting simulation calculation: and positioning the center of gravity of the pier column according to a finite element analysis method and a moment balance principle.
Description
Technical Field
The invention belongs to the technical field of civil engineering assembly type construction, and particularly relates to an assembly type bridge special-shaped pier column gravity center positioning method based on a severe mathematical model.
Background
The prefabricated bridge pier column adopts a prefabrication and assembly technology, the concrete pier column is prefabricated in advance in a factory, and after being transported to a construction site, the pier column and a lower bearing platform are reliably connected through hoisting installation and grouting sleeve connection, so that the prefabricated construction is completed. The process transfers a large amount of field operation in the traditional construction mode to a factory, saves the construction period of the field construction area, and has the advantages of large scale, factory production, standardization, intellectualization and the like. The assembly production is the development direction of the construction industry greatly propelled by the nation, and meets the requirements and directions of the national 'double carbon' strategy.
The assembly type bridge pier column connection depends on accurate butt joint of the grouting sleeve, is very dependent on horizontal precision of pier column hoisting, and is considered that the construction cannot be completed when the error exceeds 3%, and the quality and the construction efficiency of the grouting sleeve are obviously affected when the error exceeds 1%.
However, because of the large weight of bridge pier bodies and the mostly asymmetrical "vase-like" structure, many, even three axis asymmetrical profiled piers, create difficulties in the precise positioning of the center of gravity of the pier. The accurate positioning of the gravity center of the special-shaped pier column directly relates to levelness and safety of the hoisting process.
At present, a rough estimation method based on experience is adopted for positioning the barycenter of the special-shaped pier stud, on the basis of the barycenter position of the regular pier stud, the horizontal coordinate of the barycenter is artificially increased or decreased according to the degree of special-shaped deviation, and if the horizontal error of the pier stud is overlarge and cannot finish construction, the positioning is revised again according to the situation.
The traditional empirical method has the following disadvantages: the lifting points are easy to rework, so that the construction period and the construction cost are influenced; (2) The lower horizontal precision causes uneven butt joint of the grouting sleeve, and affects the connection strength and the construction quality; (3) The universality is poor, the special-shaped pier studs of different types can only be estimated again, and the judgment is dependent on human experience; (4) If the gravity center positioning error is too large, engineering potential safety hazards such as pier stud inclination and the like can occur.
In general, the existing method has the problems of low construction efficiency, easiness in reworking of a lifting point, poor sleeve connection quality, dependence on human experience, potential safety hazard and the like.
Disclosure of Invention
The invention aims to provide an assembled bridge special-shaped pier column gravity center positioning method based on a severe mathematical model, which has the advantages of high positioning accuracy, good construction quality, safety and reliability.
The technical solution for realizing the purpose of the invention is as follows:
a gravity center positioning method of an assembled bridge special-shaped pier column based on a severe mathematical model comprises the following steps:
(10) Establishing a three-dimensional volume model: according to a design drawing of the concrete pier column, a concrete three-dimensional volume model of the bridge special-shaped pier column is established;
(20) And correcting the details of the bridge special-shaped pier column: carrying out detail correction on a concrete three-dimensional volume model of the special-shaped bridge pier column, wherein the concrete three-dimensional volume model comprises smoothly connecting arc sections with straight line sections according to circle centers and arc curves of different arc sections on the special-shaped bridge pier column of the concrete bridge;
(30) And (3) constructing an internal reinforcement cage model: according to a design drawing of the concrete pier column, an internal reinforcement cage model is built, the length dimensions of longitudinal reinforcement and transverse stirrups are correctly reflected to the reinforcement cage model, and the concrete three-dimensional volume model is overlapped with the reinforcement cage model to obtain a bridge special-shaped pier column reinforced concrete structure model;
(40) Material weight assignment: giving a severe value to various materials in the reinforced concrete structure model of the bridge special-shaped pier column, wherein the severe value comprises concrete volume density and reinforced bar difference linear density;
(50) And (3) hoisting simulation calculation: and simulating the gravity action of the special-shaped pier column by adopting a finite element analysis method, positioning the gravity center of the pier column according to a moment balance principle, and carrying out safe checking calculation on the hoisting load.
Compared with the prior art, the invention has the remarkable advantages that:
1. the positioning accuracy is high: according to the invention, traditional manual calculation is replaced by mathematical model calculation, the problems that the center of gravity of the bridge special-shaped pier column is difficult to position and the horizontal precision is low in assembly type construction butt joint are solved, the center of gravity and the hanging point are accurately positioned, and the smooth construction of the assembly type special-shaped pier column and the butt joint of the bearing platform is ensured.
2. The construction quality is good: according to the method, the steel bars of the special-shaped pier column hanging points and the bearing platform are positioned, so that the centering degree of the steel bars extending out in the butt joint process is better, the compactness of the grouting sleeve is better, the strength of the connecting part is improved, and the construction quality of the assembled butt joint is improved.
3. The construction efficiency is high: the method of the invention avoids the reworking phenomenon of the lifting point caused by inaccurate assembly type butt joint in the traditional method, improves the positioning accuracy of the built-in sleeve of the pier column and the extending reinforcing steel bar of the bearing platform, saves the construction time, improves the construction efficiency,
4. safety and reliability: compared with the traditional calculation method, the mathematical model simulates the hoisting construction process, so that the construction safety can be further improved, dangerous situations such as unbalanced stress in construction can be alarmed and eliminated in advance, and the tonnage model and the construction mode of construction equipment can be calibrated and checked.
The invention is described in further detail below with reference to the drawings and the detailed description.
Drawings
FIG. 1 is a main flow chart of the gravity center positioning method of the assembled bridge special-shaped pier column based on the severe mathematical model.
Fig. 2 is a flow chart of the hoist simulation calculation step of fig. 1.
Detailed Description
As shown in fig. 1, the gravity center positioning method of the assembled bridge special-shaped pier column based on the severe mathematical model comprises the following steps:
(10) Establishing a three-dimensional volume model: according to a design drawing of the concrete pier column, a concrete three-dimensional volume model of the bridge special-shaped pier column is established;
firstly, a three-dimensional volume model of the concrete pier column is established by a design drawing, and for an electronic version drawing, model software such as Revvit or Midas can be directly imported through CAD. This is a well-established technique in the art and will not be described in detail.
(20) And correcting the details of the bridge special-shaped pier column: carrying out detail correction on a concrete three-dimensional volume model of the special-shaped bridge pier column, wherein the concrete three-dimensional volume model comprises smoothly connecting arc sections with straight line sections according to circle centers and arc curves of different arc sections on the special-shaped bridge pier column of the concrete bridge;
and correcting the details of the special-shaped pier column, and smoothly connecting the circular arc sections with the straight line sections according to the circle centers and the circular arc curves of different circular arc sections on the upper part of the pier column, wherein the step-shaped protrusion of the pier column, which is close to the base part, is corrected.
(30) And (3) constructing an internal reinforcement cage model: according to a design drawing of the concrete pier column, an internal reinforcement cage model is built, the length dimensions of longitudinal reinforcement and transverse stirrups are correctly reflected to the reinforcement cage model, and the concrete three-dimensional volume model is overlapped with the reinforcement cage model to obtain a bridge special-shaped pier column reinforced concrete structure model;
constructing a reinforcement model of an internal reinforcement cage, correctly reflecting the equal length dimensions of a longitudinal reinforcement and a transverse stirrup to the reinforcement cage model according to a design drawing, overlapping a concrete model and the reinforcement cage model,
(40) Material weight assignment: giving a severe value to various materials in the reinforced concrete structure model of the bridge special-shaped pier column, wherein the severe value comprises concrete volume density and reinforced bar difference linear density;
preferably, the differential linear density of the reinforcing steel bars is calculated according to the concrete volume density and the reinforcing steel bar density,
ρ l ＝3.14*r s *r s *(ρ s -ρ c ),
wherein ρ is l Is the difference linear density of the steel bars, ρ c For concrete mass density 2400kg/m is usually taken 3° ，ρ s For the volume density of steel, 7800kg/m is usually taken 3 ，r s Is the radius of the steel bar.
For example, for a typical 20mm diameter rebar, its linear density is:
3.14*r s *r s *(ρ s -ρ c )＝1.696kg/m。
wherein ρ is c For a concrete mass density of 2400kg/m 3。 ，ρ s 7800kg/m of steel bulk density 3 。r s Radius of the steel bar, here 0.01m
Different materialsFor the reinforced concrete structure, the concrete has a bulk density of 2400kg/m 3 The steel bar adopts linear density difference to calculate. For example, the density of the reinforcing steel bars is 7800kg/m 3 The difference between the density of the reinforced steel bar and the density of the concrete is (7800-2400) kg/m 3 The linear density of the 20mm diameter bars was 3.14 x 0.01 x (7800-2400) = 1.696kg/m. And inputting the calculated concrete volume density and the difference linear density of the steel bars into a model to finish the heavy assignment of the volume model.
(50) And (3) hoisting simulation calculation: simulating the gravity action of the special-shaped pier column by adopting a finite element analysis method, positioning the gravity center of the pier column according to a moment balance principle, and carrying out safe checking calculation on the hoisting load;
and (5) simulating and calculating the gravity and the hoisting. The gravity is simulated by vertical downward action, the hoisting force is simulated by vertical upward action, the gravity action of the special-shaped pier column is simulated by adopting a finite element analysis method in combination with severe assignment, the center of gravity of the pier column is positioned according to a moment balance principle, and the hoisting load is subjected to safe checking calculation.
The hoisting simulation calculation step (50) comprises the following steps:
(51) Positioning the center of gravity of the pier column: simulating gravity by vertical downward action, simulating hoisting force by vertical upward action, combining with heavy assignment, simulating the gravity action of the special-shaped pier column by adopting a finite element analysis method, and positioning the gravity center of the pier column according to a moment balance principle;
(52) And (3) carrying out safety checking calculation on the hoisting load: and carrying out safe checking calculation on the hoisting load according to the local limiting stress of the double hoisting points.
And (5) positioning construction of double lifting points of the pier column. And the engineering reality and stability are considered, a double-lifting-point design is adopted, and the middle point of the double-lifting-point is coincident with the center of gravity of the pier column on the plane, so that the horizontal precision of the bottom plane of the special-shaped pier column is ensured, and conditions are provided for assembly type butt joint. And checking and calculating the limit stress of the base plate at the double lifting points, and avoiding local damage in the lifting process.
As the field application of the invention, after the barycenter of the special-shaped pier stud is positioned, the method can further comprise the following steps:
(60) Hoisting the special-shaped pier column: synchronous simulation is carried out on the transportation and hoisting process of the special-shaped pier stud, the hoisting process and assembly type butt joint component levelness information are detected and compared, and meanwhile, the dangerous stress state in the construction process is checked.
The step of hoisting the special-shaped pier stud (60) comprises the following steps:
and after the gravity simulation value is applied stably, gradually increasing the lifting point force, observing the change process of the stressed cloud picture (lower picture), marking a region with larger stress in a red gradual change direction, checking the safety of the lifting point position (the upper two squares), and ending the process until the lifting point force is increased to be the same as the gravity simulation value. If the local stress is found to be larger than the limit value (the limit value is calculated according to the design tensile stress of materials at different positions, such as concrete material stress, reinforcing steel material stress and the like), the dangerous situation is judged, and the design of the component should be carried out again.
In addition, the displacement and angle difference between the simulated component and the real component are observed in the hoisting process, if the displacement and angle difference exceeds 3% in the hoisting process, the fault operation or equipment problem of the hoisting construction is described, and the hoisting process should be tentatively set and examined.
And (5) hoisting the special-shaped pier column. Synchronous simulation is carried out on the transportation and hoisting process of the special-shaped pier stud, information such as the hoisting process, the levelness of the assembled butt-jointed components and the like is detected and compared, and meanwhile, the dangerous stress state in the construction process is checked.
By adopting the method, the assembly type special-shaped pier stud hoisting test is carried out in Jiang Pingxi-path second-phase (Runying North-path intercommunication type interchange) non-iron-related section engineering in Yangzhou city of Jiangsu province, the hoisting levelness error is not more than 0.15%, and the expected aim that the levelness error is less than 1% is better realized.
Claims (3)
1. The gravity center positioning method for the special-shaped pier column of the assembled bridge based on the severe mathematical model is characterized by comprising the following steps of:
establishing a three-dimensional volume model: according to a design drawing of the concrete pier column, a concrete three-dimensional volume model of the bridge special-shaped pier column is established;
and correcting the details of the bridge special-shaped pier column: carrying out detail correction on a concrete three-dimensional volume model of the special-shaped bridge pier column, wherein the concrete three-dimensional volume model comprises smoothly connecting arc sections with straight line sections according to circle centers and arc curves of different arc sections on the special-shaped bridge pier column of the concrete bridge;
and (3) constructing an internal reinforcement cage model: according to a design drawing of the concrete pier column, an internal reinforcement cage model is built, the length dimensions of longitudinal reinforcement and transverse stirrups are correctly reflected to the reinforcement cage model, and the concrete three-dimensional volume model is overlapped with the reinforcement cage model to obtain a bridge special-shaped pier column reinforced concrete structure model;
material weight assignment: giving a severe value to various materials in the reinforced concrete structure model of the bridge special-shaped pier column, wherein the severe value comprises concrete volume density and reinforced bar difference linear density;
and (3) hoisting simulation calculation: simulating the gravity action of the special-shaped pier column by adopting a finite element analysis method, positioning the gravity center of the pier column according to a moment balance principle, and carrying out safe checking calculation on the hoisting load;
the difference linear density of the steel bars is calculated according to the following formula,
ρ l ＝3.14*r s *r s *(ρ s -ρ c ),
wherein ρ is l Is the difference linear density of the steel bars, ρ c For the concrete volume density 2400kg/m was taken 3 ，ρ s 7800kg/m of steel bulk density was taken 3 ，r s Is the radius of the steel bar.
2. The method for positioning the center of gravity of a special-shaped pier column according to claim 1, wherein the step of lifting simulation calculation comprises the steps of:
positioning the center of gravity of the pier column: simulating gravity by vertical downward action, simulating hoisting force by vertical upward action, combining with heavy assignment, simulating the gravity action of the special-shaped pier column by adopting a finite element analysis method, and positioning the gravity center of the pier column according to a moment balance principle;
and (3) carrying out safety checking calculation on the hoisting load: and carrying out safe checking calculation on the hoisting load according to the local limiting stress of the double hoisting points.
3. The method for positioning the center of gravity of a special-shaped pier column according to any one of claims 1 to 2, further comprising the steps of, after the step of hoisting simulation calculation:
hoisting the special-shaped pier column: synchronous simulation is carried out on the transportation and hoisting process of the special-shaped pier stud, the hoisting process and assembly type butt joint component levelness information are detected and compared, and meanwhile, the dangerous stress state in the construction process is checked.
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