CN114858382A - Cable-stayed bridge modal transition test testing device and modal transition analysis method - Google Patents
Cable-stayed bridge modal transition test testing device and modal transition analysis method Download PDFInfo
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Abstract
The invention discloses a testing device and a modal transition analysis method for a cable-stayed bridge modal transition test, and relates to the technical field of bridge dynamic analysis and testing. The bridge tower is vertically arranged on the base, a main beam is arranged on the bridge tower, a plurality of sliding blocks are arranged on the main beam in a sliding manner, a plurality of inhaul cables are connected to the top end of the bridge tower, the upper ends of the inhaul cables are detachably connected with the top end of the bridge tower, and the lower ends of the inhaul cables penetrate through the sliding blocks and are detachably connected with balancing weights; the system also comprises a laser displacement meter for measuring the dynamic displacement of the main beam, the bridge tower and the inhaul cable, and the laser displacement meter is connected with a dynamic data acquisition system. After the movable end of the stay cable is provided with the balancing weight to meet the requirement on the internal force of all the stay cables to be assembled, the connecting positions of the stay cables and the main beams are marked, and then all the stay cables are connected with the main beams, so that the complex cable adjusting process is omitted while the internal force of the stay cables is consistent with the design value. The research on the mode transition phenomenon of the cable-stayed bridge is facilitated.
Description
Technical Field
The invention relates to the technical field of bridge dynamic analysis and test, in particular to a cable-stayed bridge modal transition test testing device and a modal transition analysis method.
Background
The development of modern cable-stayed bridges is one of the most luxurious achievements of bridge engineers. In a sense, its structural parameters are inevitably detuned. "detuning" as referred to herein is a term of art derived from periodic or symmetric structural vibration analysis and refers to deviations of actual parameters from design parameters caused by structural damage, material property aging, mounting errors, etc., which correspond to structural parameter changes. For example, in a large-span cable-stayed bridge structure, for example, tension errors, anchoring loss, steel wire stress relaxation, cable force measurement errors and the like in cable construction cause the actual cable force to deviate from the designed value, and the cable tension is detuned. And the inevitable material aging, inhaul cable corrosion, fatigue damage, damage and diseases of the existing bridge, such as node open welding, beam body cracks and the like in the operation process can be regarded as structural parameter detuning.
When vibration mode transition occurs: the order of the two orders of the vibration modes is exchanged before and after the detuning, and the vibration modes and the frequencies do not meet the original corresponding relation any more. After a modern cable-stayed bridge of a dense cable system steps into a kilometre grade and a suspension bridge steps into a two-kilometre main span grade era, wind-induced vibration and earthquake response analysis are conventional calculation contents, and the first step of the dynamic response analysis is to determine basic dynamic characteristics such as structural frequency and vibration mode, and if the basic dynamic characteristics are determined to be wrong, the dynamic response analysis result is influenced. In the prior art, there are dynamic damage identification indexes such as: the local frequency change rate index, the unit modal strain energy change rate index, the dynamic damage positioning index and the like are used for detecting and positioning the damage of the structure by using the structural modal parameters as the basis. After the structural mode transitions, the vibration modes and the frequencies are not in one-to-one correspondence, and when the structural damage detection is performed by using the dynamic damage identification indexes obtained by the vibration modes, the wrong judgment can also occur. Meanwhile, in the field of civil engineering, particularly in the field of large-span cable-stayed bridge structures, research on the mode transition phenomenon is limited, the influence and the consequence on the structure are not fully known and paid enough attention, and a test device for the problem is not developed.
Disclosure of Invention
Aiming at the defects in the prior art, the invention provides a test device and a modal transition analysis method for a cable-stayed bridge modal transition test, which can accurately analyze the critical point of the cable-stayed bridge modal transition, can observe the modal transition phenomenon through the test device and facilitate the research of the modal transition phenomenon.
In order to achieve the purpose of the invention, the technical scheme adopted by the invention is as follows:
the testing device comprises a base, wherein a bridge tower is vertically arranged on the base, a main beam is arranged on the bridge tower, a plurality of sliding blocks are arranged on the main beam in a sliding manner, the top end of the bridge tower is connected with a plurality of inhaul cables, the upper ends of the inhaul cables are detachably connected with the top end of the bridge tower, and the lower ends of the inhaul cables penetrate through the sliding blocks and are detachably connected with balancing weights; the system also comprises a laser displacement meter for measuring the dynamic displacement of the main beam, the bridge tower and the inhaul cable, and the laser displacement meter is connected with the dynamic data acquisition system.
In practice, the inhaul cables are assembled in sequence in the process of being assembled between the main beam and the cable tower, the overall rigidity of the cable-stayed bridge is greatly affected by the assembly of the inhaul cables and the adjustment of the cable force, so that the difficulty in assembling and cable adjusting is high, and in order to ensure that the in-bridge cable force value of each inhaul cable is consistent with the designed parameter value, the tension value of the inhaul cable needs to be continuously adjusted. According to the test device for the modal transition test of the cable-stayed bridge, after the internal force of all cables to be assembled meets the requirement by arranging the balancing weight at the movable end of the cable, the connecting positions of the cable and the main beam are marked, and then all the cables and the main beam are locked, so that the internal force of the cable is consistent with the design value, and the complicated cable adjusting process is omitted. The research on the mode transition phenomenon of the cable-stayed bridge is facilitated.
Further, the slider perpendicular to girder setting, and the both ends of slider all are provided with the trompil that supplies the cable to pass.
Further, be provided with slider locking structure on the slider, slider locking structure includes the screw hole and with the screw hole meshing bolt of being connected, bolt and girder butt.
Furthermore, a stay cable locking structure is arranged at the position of the opening and comprises a thread locking hole perpendicular to the opening, a locking rod is arranged in the thread locking hole in a meshed mode, one end, located in the opening, of the locking rod is rotatably connected with a locking block, and the other end of the locking rod extends out of the thread locking hole.
A method for performing modal transition analysis by adopting a cable-stayed bridge modal transition test testing device comprises the following steps:
s1; establishing a cable-stayed bridge reference model, and performing detuning simulation on the cable-stayed bridge reference model by adopting a plurality of detuning parameter mean square deviations sigma to obtain cable-stayed bridge detuning models with different detuning parameter mean square deviations;
s2; using a modal analysis method for all the cable-stayed bridge detuning models to obtain the frequencies F of different cable-stayed bridge detuning models i Sum mode vector phi i ；
S3; according to frequency F i Sum mode vector phi i Calculating to obtain the detuning parameter mean square error sigma' when the cable-stayed bridge structure generates modal transition;
s4; extracting a working condition parameter K of the cable-stayed bridge detuning model corresponding to the detuning parameter mean square error sigma', and adjusting the cable-stayed bridge mode transition test device by using the working condition parameter K;
s5; knocking the cable-stayed bridge modal transition test device adjusted by the working condition parameter K, acquiring real-time data of the adjusted cable-stayed bridge modal transition test device by using a dynamic data acquisition system, and performing modal parameter adjustment by using a PolyMAX methodIdentifying the frequency F of the adjusted cable-stayed bridge modal transition test testing device m Sum mode vector phi m Observing the form change and frequency F of the cable-stayed bridge mode transition test device m Sum mode vector phi m The numerical value change of the method realizes the research on the mode transition phenomenon of the cable-stayed bridge.
Further, the selecting step of the detuning parameter mean square deviation value adopted in S1 is as follows:
a 1; proposing the mean square error sigma of the detuning parameter i Setting the tuning parameter as 0 and providing a detuning parameter mean square error stepping value delta sigma;
a 2; mean square error sigma of detuning parameter i Generating a random array comprising n random numbers by using the improved randn function; if the minimum value in the random array is larger than-1, then the detuning parameter mean square error sigma i Put into the collection P as a unit cell and proceed to step a 3; otherwise, go to step a 4;
a 3; let sigma i ＝σ i + Δ σ, and return to step a 2;
a 4; selecting the maximum value of the single bit in the collection P as the mean square error sigma of the maximum detuning parameter max Then σ ∈ [0, σ ∈ max ]。
Further, the modified randn function in a2 is to use rng ('default') command to reset the setting of the random number generation function to its default value.
The improved randn function enables random arrays generated by different detuning parameter mean square deviations to have the same change rule and have the comparability, so that the relation between the detuning parameter mean square deviations and the detuning degree can be visually embodied.
Further, the detuning parameter mean square error comprises a mean square error of several detuning modes, the detuning modes comprising one or more of a cable force detuning, a beam section stiffness detuning, and a mass distribution detuning.
Further, the specific steps of S3 are as follows:
s31; plotting the frequency F i A frequency curve graph which changes along with the mean square error sigma of the detuning parameter;
s32; determining the order i 'of the frequency curve when the frequency curve is turned according to the frequency curve graph, wherein the order i' of the frequency curve when the frequency curve is turned is modal transition of the cable-stayed bridge;
s33; calculating a curvature factor of an ith' order frequency curve and drawing a frequency curvature factor change diagram:
wherein, Curv i' Is the curvature factor of the ith' order frequency; omega i' Is the first derivative of the ith' order frequency curve to sigma; omega' i' Is the second derivative of the ith' order frequency curve to sigma;
s34; obtaining the mean square error sigma' of the detuning parameter when the cable-stayed bridge structure generates modal transition according to the frequency curvature factor change diagram;
s35; verifying the detuning parameter mean square error sigma' by using a mode confidence coefficient criterion MAC; the modal confidence criterion is expressed as follows:
wherein phi i' Model vector of cable-stayed bridge detuning model of detuning parameter mean square error sigma j The model vector of the cable-stayed bridge detuning model of the detuning parameter mean square error sigma' +/-delta sigma; t is a mathematical transposition operation symbol; i' and j are frequency orders;
the verification method comprises the following steps: when i ═ j, MAC i'j Value close to 0, and i' ≠ j, MAC i'j When the value is close to 1, the sigma' is the detuning parameter mean square error when the cable-stayed bridge structure generates modal transition; otherwise, the detuning parameter mean square error step value Δ σ 'is newly proposed as Δ σ in step a1, the procedure returns to step a2, and Δ σ' < Δ σ.
Further, in step S34, if the peak value of the frequency curvature factor variation map is not obvious, the detuning parameter mean square error step value Δ σ ″ is newly proposed as Δ σ in step a1, and the step returns to step a2, and Δ σ "< Δ σ.
The invention has the beneficial effects that:
1. the device for testing the mode transition test of the cable-stayed bridge can simulate the number of the guys of the actual cable-stayed bridge and the connection positions of the guys and the main beam by setting the number and the positions of the sliding blocks; the pull of the stay cable to the cable tower and the main beam is obtained by simulating a balancing weight; after the working condition of the cable-stayed bridge at the modal transition critical point is obtained, the working condition is repeatedly engraved on the test testing device, so that the condition of the cable-stayed bridge can be intuitively observed; the working condition is conveniently adjusted, and more verification tests can be performed in an auxiliary mode.
2. The modal transition analysis method provided by the invention is used for carrying out detuning simulation on the cable-stayed bridge reference model by introducing the detuning parameter mean square error, and the dynamic characteristics of the cable-stayed bridge structure are met no matter when cable force detuning or quality detuning of the cable-stayed bridge is researched. The simulated detuned cable-stayed bridge model is similar to the cable-stayed bridge in the actual detuned state, so that the analysis result of modal transition is close to the reality, a research means and a research environment can be provided for the research of the modal transition of the cable-stayed bridge, and the research of the modal transition phenomenon of the cable-stayed bridge can be improved. The modal transition analysis method provides reasonable indexes for quantitative representation in two aspects of frequency and vibration mode after the detuning simulation method and the modal transition occur.
Drawings
FIG. 1 is a schematic perspective view of a cable-stayed bridge modal transition test testing device;
FIG. 2 is a schematic cross-sectional view of a slider locking arrangement;
FIG. 3 is a cross-sectional view of a cable locking arrangement;
FIG. 4 is a graph of a random array generated by the mean square error of four detuning parameters;
FIG. 5 is a graph of frequency as a function of the mean square error of the detuning parameter;
FIG. 6 is a histogram of MAC values versus order;
FIG. 7 is Curv 16 A plot of the value versus the mean square error of the detuning parameter.
Wherein, 1, a base; 2. a bridge tower; 3. a main beam; 4. a cable; 5. a slider; 6. a balancing weight; 7. a laser displacement meter; 8. a dynamic data acquisition system; 9. opening a hole; 10. a bolt; 11. a locking lever; 12. and locking the block.
Detailed Description
The following description of the embodiments of the present invention is provided to facilitate the understanding of the present invention by those skilled in the art, but it should be understood that the present invention is not limited to the scope of the embodiments, and it will be apparent to those skilled in the art that various changes may be made without departing from the spirit and scope of the invention as defined and defined in the appended claims, and all matters produced by the invention using the inventive concept are protected.
As shown in fig. 1, a cable-stayed bridge modal transition test testing device comprises a base 1, wherein a bridge tower 2 is vertically arranged on the base 1, a main beam 3 is arranged on the bridge tower 2, a plurality of sliding blocks 5 are arranged on the main beam 3 in a sliding manner, a plurality of stay cables 4 are connected to the top end of the bridge tower 2, the upper ends of the stay cables 4 are detachably connected with the top end of the bridge tower 2 through bolts 10, and the movable ends of the stay cables 4 penetrate through the sliding blocks 5 and are detachably connected with balancing weights 6 through the bolts 10; still including being used for measuring girder 3, pylon 2 and cable 4 and move the laser displacement meter 7 of displacement, laser displacement meter 7 is aimed at the experiment testing arrangement wholly, and laser displacement meter 7 is connected with dynamic data acquisition system 8. Slider 5 perpendicular to girder 3 sets up, and the both ends of slider 5 all are provided with the trompil 9 that supplies cable 4 to pass. As shown in fig. 2, the sliding block 5 is provided with a sliding block locking structure, the sliding block locking structure comprises a threaded hole and a bolt 10 engaged with the threaded hole, and the bolt 10 abuts against the main beam 3. As shown in fig. 3, a cable locking structure is arranged at the opening 9, the cable locking structure includes a threaded locking hole perpendicular to the opening 9, a locking rod 11 is engaged with the threaded locking hole, one end of the locking rod 11 located in the opening 9 is rotatably connected with a locking block 12, and the other end of the locking rod 11 extends out of the threaded locking hole. The test model is similar to a double-girder model of a finite element space rod system model, the rigidity and the mass are similar during manufacturing, the distribution of the rigidity and the mass is reasonable, and the model accords with an actual structure. The model can also be made by adopting a single-girder type or a three-girder type.
The invention relates to a working principle and a using process of a cable-stayed bridge mode transition test testing device, which comprises the following steps:
selecting the number of the sliding blocks 5 according to the actual cable-stayed bridge or simulated working condition parameters of the cable-stayed bridge, sliding the sliding blocks 5 on the main beam 3 to ensure that the connecting positions of all the sliding blocks 5 and the stay cables 4 in the working condition parameters are the same, screwing the bolts 10, and enabling the bolts 10 to be abutted against the main beam 3 to lock the position between the sliding blocks 5 and the main beam 3; the upper end of a guy cable 4 is connected with the upper end of a bridge tower 2, the lower end of the guy cable 4 penetrates through an opening 9, the weight of a balancing weight 6 of the guy cable 4 is selected according to working condition parameters, all the guy cables 4 are connected with the corresponding balancing weight 6, then a locking rod 11 is screwed, a locking block 12 moves towards the side wall of the opening 9 opposite to the locking hole along with the screwing of the locking rod 11, the locking block 12 is abutted against the side wall of the opening 9, and the guy cable 4 located between the locking block 12 and the side wall of the opening 9 is fixed. The cable-stayed bridge can be knocked to vibrate by taking down the balancing weight 6 at the lower end of the cable 4, the dynamic displacement of the bridge tower 2, the main beam 3 and the cable 4 is measured in real time by the laser displacement meter 7, and the dynamic data obtained by the measurement of the laser displacement meter 7 is transmitted to the dynamic data acquisition system 8.
The device for testing the mode transition test of the cable-stayed bridge can simulate the number of the guys of the actual cable-stayed bridge and the connection positions of the guys and the main beam by setting the number and the positions of the sliding blocks; the pull of the stay cable to the cable tower and the main beam is obtained by simulating a balancing weight; after the working condition of the cable-stayed bridge at the modal transition critical point is obtained, the working condition is repeatedly engraved on the test testing device, so that the condition of the cable-stayed bridge can be intuitively observed; the working condition is conveniently adjusted, and more verification tests can be performed in an auxiliary mode.
In this embodiment, a method for performing modal transition analysis by using a cable-stayed bridge modal transition test testing apparatus includes the following steps:
s1; establishing a cable-stayed bridge reference model with six pairs of inhaul cables, and performing detuning simulation on the cable-stayed bridge reference model by using the four selected detuning parameter mean square deviations to obtain four cable-stayed bridge detuning models with different detuning parameter mean square deviations; the detuning parameter mean square error comprises a mean square error of several detuning modes including one or more of a cable force detuning, a beam section stiffness detuning, and a mass distribution detuning.
The selection steps of the four detuning parameter mean square difference values are as follows:
a 1; proposing the mean square error sigma of the detuning parameter i Setting the detuning parameter mean square error stepping value delta sigma as 0.008;
σ i equal to 0, this represents the case where the cable-stayed bridge reference model is not detuned.
a 2; mean square error sigma of detuning parameter i Generating a random array comprising 24 random numbers (namely, detuning parameters) by using the improved randn function; if the minimum value in the random array is larger than-1, then the detuning parameter mean square error sigma i Put into the collection P as a unit cell and proceed to step a 3; otherwise, go to step a 4;
the modified randn function is the randn function for the increase rng ('default') command. In other embodiments of the present invention, the number of random numbers may be 20, 22, 26, 28, or 30, etc. The 24 random numbers reduce the calculation amount under the condition that the detuning state of the cable-stayed bridge can be simulated. The minimum value of the generated random array is controlled to be larger than-1, and the rigidity or quality matrix is prevented from being negative.
a 3; let sigma i ＝σ i + Δ σ, and return to step a 2;
a 4; selecting the maximum value of the single bit in the collection P as the mean square error sigma of the maximum detuning parameter max Then σ ∈ [0, σ ∈ max ]。
The test of the step a1-a4 shows that the sigma in the embodiment max At 0.3200, the four σ s selected here are 0.0025, 0.0750, 0.1750 and 0.3200, respectively. The testing steps of the detuning parameter mean square error are consistent, and the detailed process of the test is not repeated herein. The four detuning parameter mean square deviations are respectively brought into the improved randn function to generate four groups of random arrays, and a graph of the four random arrays shown in fig. 4 is drawn, and as can be seen from fig. 4, with the increase of the detuning parameter mean square deviation, the change degree of the graph, namely the simulated detuning degree, is increased. The improved randn function enables random arrays generated by different detuning parameter mean square deviations to have the same change rule and have the comparability, so that the relation between the detuning parameter mean square deviations and the detuning degree can be visually embodied.
S2; for all cable-stayed bridge detuning modelsObtaining the frequency F of detuning models of different cable-stayed bridges by using a modal analysis method i Sum mode vector phi i ；
S3; according to frequency F i Sum mode vector phi i Calculating to obtain the detuning parameter mean square error sigma' when the cable-stayed bridge structure generates modal transition;
s31; plotting the frequency F as shown in FIG. 5 i A frequency curve graph which changes along with the mean square error sigma of the detuning parameter;
s32; determining the order i 'of the frequency curve when the frequency curve is turned according to the frequency curve graph, wherein the order i' of the frequency curve when the frequency curve is turned is modal transition of the cable-stayed bridge;
as shown in fig. 5, the 16 th order frequency variation with the detuning parameter mean square error and the 17 th order frequency variation with the detuning parameter mean square error in the present embodiment are diverted at L1, i.e., i' 16.
S33; the curvature factor of the ith' order frequency curve is calculated and a frequency curvature factor variation graph as shown in FIG. 7 is drawn:
wherein, Curv i' Is the curvature factor of the ith' order frequency; omega i' Is the first derivative of the ith' order frequency curve to sigma; omega i' Calculated by substituting sigma into a "gradient ()" function; omega' i' Is the second derivative of the ith' order frequency curve to sigma; omega' i' Calculated by substituting σ into the "del 2 ()" function;
s34; obtaining 0.2450 the detuning parameter mean square deviation sigma' when the cable-stayed bridge structure generates modal transition according to the frequency curvature factor change diagram shown in fig. 7;
if the peak value of the frequency curvature factor variation map is not obvious, the detuning parameter mean square error step value Δ σ ″ is newly proposed as Δ σ in step a1 to return to step a2, and Δ σ "< Δ σ. And a change threshold value delta k is provided, when the difference value between the frequency curvature factor corresponding to the sigma and the frequency curvature factor corresponding to the sigma +/-delta sigma is larger than the change threshold value delta k, the peak value change is obvious, otherwise, the peak value change is not obvious.
S35; verifying the detuning parameter mean square error sigma' by using a mode confidence coefficient criterion MAC; the modal confidence criterion is expressed as follows:
wherein phi i' Model vector of cable-stayed bridge detuning model with detuning parameter mean square error of 0.2450, phi j A model vector of a cable-stayed bridge detuning model of the detuning parameter mean square error sigma' +/-delta sigma; t is a mathematical transposition operation symbol; i' and j are frequency orders; in this example Φ j Model vectors for cable-stayed bridge detuning models for the detuning parameter mean square error σ' + Δ σ -0.2530.
The verification method comprises the following steps: when i ═ j, MAC i'j Value close to 0, and i' ≠ j, MAC i'j When the value is close to 1, the sigma' is the detuning parameter mean square error when the cable-stayed bridge structure generates modal transition; otherwise, the detuning parameter mean square error step value Δ σ 'is newly proposed as Δ σ in step a1, the procedure returns to step a2, and Δ σ' < Δ σ.
Computing MAC i'j { i' ═ 16, 17, 18, 19, 20; j-16, 17, 18, 19, 20, and plotting the MAC as shown in fig. 6, as can be seen from fig. 6, the MAC is plotted as a histogram 16-16 Value and MAC 17-17 Value is close to 0, and MAC 16-17 Value and MAC 17-16 The value is close to 1, and σ' ═ 0.2450 represents the mean square error of the detuning parameter when modal transition occurs in the cable-stayed bridge structure in the embodiment.
S4; extracting a working condition parameter K of a cable-stayed bridge detuning model corresponding to the detuning parameter mean square error sigma' 0.2450, and adjusting the cable-stayed bridge mode transition test device by using the working condition parameter K;
the method for adjusting the cable-stayed bridge modal transition test device comprises the following steps: adjusting the position of the slide 5 and adjusting the weight of the counterweight 6.
S5; knocking the cable-stayed bridge modal transition test testing device adjusted by the working condition parameter K, and using a dynamic data acquisition system 8 to perform cable-stayed bridge modal transition test testing on the adjusted cable-stayed bridgeThe testing device for the bridge modal transition test is used for acquiring real-time data, and a PolyMAX method is used for identifying modal parameters to obtain the frequency F of the testing device for the cable-stayed bridge modal transition test after adjustment m Sum mode vector phi m Observing the form change and frequency F of the cable-stayed bridge mode transition test device m Sum mode vector phi m The numerical value change of the method realizes the research on the mode transition phenomenon of the cable-stayed bridge.
Claims (10)
1. A cable-stayed bridge mode transition test device comprises a base (1) and is characterized in that a bridge tower (2) is vertically arranged on the base (1), a main beam (3) is arranged on the bridge tower (2), a plurality of sliding blocks (5) are arranged on the main beam (3) in a sliding mode, the top end of the bridge tower (2) is connected with a plurality of stay cables (4), the upper ends of the stay cables (4) are detachably connected with the top end of the bridge tower (2), and the lower ends of the stay cables (4) penetrate through the sliding blocks (5) and are detachably connected with balancing weights (6); the device is characterized by further comprising a laser displacement meter (7) used for measuring the dynamic displacement of the main beam (3), the bridge tower (2) and the inhaul cable (4), wherein the laser displacement meter (7) is connected with a dynamic data acquisition system (8).
2. The cable-stayed bridge modal transition test device according to claim 1, wherein the sliding block (5) is arranged perpendicular to the main beam (3), and both ends of the sliding block (5) are provided with openings (9) for the stay cable (4) to pass through.
3. The cable-stayed bridge modal transition test device according to claim 1, wherein a slider locking structure is arranged on the slider (5), the slider locking structure comprises a threaded hole and a bolt (10) engaged with the threaded hole, and the bolt (10) is abutted against the main beam (3).
4. The cable-stayed bridge modal transition test device according to claim 2, wherein a cable locking structure is arranged at the open hole (9), the cable locking structure comprises a threaded locking hole perpendicular to the open hole (9), the threaded locking hole is engaged with a locking rod (11), one end of the locking rod (11) in the open hole (9) is rotatably connected with a locking block (12), and the other end of the locking rod (11) extends out of the threaded locking hole.
5. A method for performing modal transition analysis by using the cable-stayed bridge modal transition test testing device of claim 1, which is characterized by comprising the following steps:
s1; establishing a cable-stayed bridge reference model, and performing detuning simulation on the cable-stayed bridge reference model by adopting a plurality of detuning parameter mean square deviations sigma to obtain cable-stayed bridge detuning models with different detuning parameter mean square deviations;
s2; using a modal analysis method for all the cable-stayed bridge detuning models to obtain the frequencies F of different cable-stayed bridge detuning models i Sum mode vector phi i ；
S3; according to frequency F i Sum mode vector phi i Calculating to obtain the detuning parameter mean square error sigma' when the cable-stayed bridge structure generates modal transition;
s4; extracting a working condition parameter K of the cable-stayed bridge detuning model corresponding to the detuning parameter mean square error sigma', and adjusting the cable-stayed bridge mode transition test device by using the working condition parameter K;
s5; knocking the cable-stayed bridge modal transition test device adjusted by the working condition parameter K, using the dynamic data acquisition system (8) to acquire real-time data of the adjusted cable-stayed bridge modal transition test device, and using a PolyMAX method to identify modal parameters to obtain the frequency F of the adjusted cable-stayed bridge modal transition test device m Sum mode vector phi m Observing the form change and frequency F of the cable-stayed bridge mode transition test device m Sum mode vector phi m The numerical value change of the method realizes the research on the mode transition phenomenon of the cable-stayed bridge.
6. A cable-stayed bridge modal transition analysis method according to claim 5, characterized in that the selection step of the detuning parameter mean square deviation value adopted in S1 is as follows:
a 1; proposing the mean square error sigma of the detuning parameter i 0, and providing the mean square error step of the detuning parameterA carry value delta sigma;
a 2; mean square error sigma of detuning parameter i Generating a random array comprising n random numbers by using the improved randn function; if the minimum value in the random array is larger than-1, then the detuning parameter mean square error sigma i Put into the collection P as a unit cell and proceed to step a 3; otherwise, go to step a 4;
a 3; let sigma i ＝σ i + Δ σ, and return to step a 2;
a 4; selecting the maximum value of the single bit in the collection P as the mean square error sigma of the maximum detuning parameter max Then σ ∈ [0, σ ∈ max ]。
7. The cable-stayed bridge modal transition analysis method according to claim 6, characterized in that the modified randn function in a2 is to use rng ('default') command to reset the setting of the random number generation function used to its default value.
8. A cable-stayed bridge modal transition analysis method according to claim 5, characterized in that the detuning parameter mean-square-difference comprises the mean-square-differences of several detuning modes, the detuning modes comprising one or more of a cable force detuning, a beam section stiffness detuning and a mass distribution detuning.
9. The cable-stayed bridge modal transition analysis method according to claim 6, characterized in that the concrete steps of S3 are as follows:
s31; plotting the frequency F i A frequency curve graph which changes along with the mean square error sigma of the detuning parameter;
s32; determining the order i 'of the frequency curve when the frequency curve is turned according to the frequency curve graph, wherein the order i' of the frequency curve when the frequency curve is turned is modal transition of the cable-stayed bridge;
s33; calculating a curvature factor of an ith' order frequency curve and drawing a frequency curvature factor change diagram:
wherein, Curv i' Is the curvature factor of the ith' order frequency; omega i' Is the first derivative of the ith' order frequency curve to sigma; omega i' 'is the second derivative of the ith' order frequency curve to sigma;
s34; obtaining the mean square error sigma' of the detuning parameter when the cable-stayed bridge structure generates modal transition according to the frequency curvature factor change diagram;
s35; verifying the detuning parameter mean square error sigma' by using a mode confidence coefficient criterion MAC; the modal confidence criterion is expressed as follows:
wherein phi i' Model vector of cable-stayed bridge detuning model of detuning parameter mean square error sigma j The model vector of the cable-stayed bridge detuning model of the detuning parameter mean square error sigma' +/-delta sigma; t is a mathematical transposition operation symbol; i' and j are frequency orders;
the verification method comprises the following steps: when i ═ j, MAC i'j Value close to 0, and i' ≠ j, MAC i'j When the value is close to 1, the sigma' is the detuning parameter mean square error when the cable-stayed bridge structure generates modal transition; otherwise, the detuning parameter mean square error step value Δ σ 'is newly proposed as Δ σ in step a1, the procedure returns to step a2, and Δ σ' < Δ σ.
10. A cable-stayed bridge modal transition analysis method according to claim 9, characterized in that in step S34, if the peak value of the frequency curvature factor variation map is not obvious, the detuning parameter mean square error step value Δ σ "is newly proposed as Δ σ in step a1, and returned to step a2, and Δ σ" < Δ σ.
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