Bridge flutter control method, device and equipment and storage medium

Abstract

The invention discloses a bridge flutter control method, device and equipment and a storage medium, and relates to the technical field of bridge wind engineering.The method comprises the steps that a kinetic equation of a bridge-tuned mass damper-nonlinear flutter coupling system is established for two-freedom-degree vertical and torsional coupling nonlinear flutter of a target bridge; the tuned mass dampers are symmetrically arranged on the two sides of the section of the target bridge girder; under the target wind speed, by calculating the time domain response of the kinetic equation, with the principle that the steady-state amplitude value of the target bridge girder is minimum, parameter optimization is conducted on the tuned mass damper, and optimized parameters are obtained; and designing the tuned mass damper based on the optimized parameters, and performing nonlinear flutter control on the target bridge through the obtained tuned mass damper. Therefore, under the nonlinear flutter control target, the coupling effect of the wind, the bridge and the tuned mass damper is considered, better tuned mass damper parameters are designed, and the method can be applied to actual engineering.

Description

Technical Field

[0001] The present invention relates to the technical field of bridge wind engineering, and in particular to a bridge flutter control method, device, equipment and storage medium. Background Art

[0002] The currently commonly used TMD (Tuned Mass Damper) parameter optimization formula for controlling self-excited motion is the optimal design parameter only when the negative damping of the self-excited motion is equal to the maximum allowable negative damping. It has certain particularity, and the formula uses the structural characteristic frequency and damping ratio to design the TMD parameters, while the flutter frequency will change with wind speed (that is, the influence of aerodynamic damping and aerodynamic stiffness effects are not considered). The TMD designed in this way may not be optimal. Moreover, the optimization formula is derived based on linear flutter theory, which cannot consider the influence of structural and aerodynamic nonlinear effects, and needs further verification in nonlinear flutter control. The above factors result in the TMD parameters designed by the currently commonly used TMD parameter optimization formula not being optimal values; moreover, the linear flutter control target (i.e., the critical wind speed is greater than the target wind speed) essentially does not allow the bridge to vibrate (flutter), while the nonlinear flutter control target (i.e., the flutter amplitude is less than the specified safety threshold) essentially allows the bridge to vibrate with a certain self-limiting limit cycle (similar to the vortex vibration control target). The linear flutter control target is more conservative, and the nonlinear flutter control target appropriately relaxes the control requirements while ensuring the safety of the bridge. Therefore, the minimum TMD mass designed according to the linear flutter control target may not be the minimum mass.

[0003] It can be seen that how to optimize TMD parameters to control the nonlinear flutter of bridges is a problem to be solved in this field. Summary of the invention

[0004] In view of this, the purpose of the present invention is to provide a bridge flutter control method, device, equipment and storage medium, which, under the nonlinear flutter control target, considers the coupling effect of wind, bridge and tuned mass damper, designs better tuned mass damper parameters, and can be applied to actual engineering. The specific scheme is as follows:

[0005] In a first aspect, the present application provides a bridge flutter control method, comprising:

[0006] For the two-degree-of-freedom vertical and torsional coupled nonlinear flutter of the target bridge, the dynamic equations of the bridge-tuned mass damper-nonlinear flutter coupling system are established; wherein the tuned mass dampers are symmetrically arranged on both sides of the main beam section of the target bridge;

[0007] Under the target wind speed, by calculating the time domain response of the dynamic equation, the tuned mass damper is optimized based on the principle of minimizing the steady-state amplitude value of the target bridge main beam to obtain corresponding optimized parameters;

[0008] The tuned mass damper is designed based on the optimized parameters, so as to perform nonlinear flutter control on the target bridge through the obtained tuned mass damper.

[0009] Optionally, the kinetic equation is:

[0010] ;

[0011] ;

[0012] ;

[0013] ;

[0014] Wherein, m and I represent the mass and moment of inertia per unit length of the main beam section of the target bridge, respectively. and denote the vertical and torsional nonlinear mechanical damping, respectively, and denote the vertical and torsional mechanical frequencies respectively, , , are the vertical displacement, velocity and acceleration of the main beam respectively, , , are the torsional displacement, velocity and acceleration of the main beam motion, respectively. and denote the nonlinear self-excited aerodynamic lift and torque, respectively, , denote the mass per unit length of the windward and leeward tuned mass dampers, respectively, represents the sum of the mass per unit length of the windward and leeward tuned mass dampers, , denote the vertical displacements of the tuned mass dampers on the windward and leeward sides, respectively, It represents the horizontal distance from the tuned mass damper to the center line of the main beam section. represents the damping ratio of the windward and leeward tuned mass dampers, represents the frequencies of the windward and leeward tuned mass dampers.

[0015] Optionally, the time domain response of the dynamic equation is calculated, and the parameters of the tuned mass damper are optimized based on the principle of minimizing the steady-state amplitude value of the target bridge main beam to obtain corresponding optimized parameters, including:

[0016] The time domain response of the dynamic equation is calculated using the fourth-order Runge-Kutta method, so as to optimize the parameters of the tuned mass damper based on the principle of minimizing the steady-state amplitude value of the target bridge main beam, and obtain the corresponding optimized parameters.

[0017] Optionally, the calculating the time domain response of the dynamic equation by using the fourth-order Runge-Kutta method includes:

[0018] Determining structural parameters, aerodynamic parameters of the target bridge and a mass ratio of the tuned mass damper;

[0019] The time domain response of the dynamic equation is calculated based on the structural parameters, the aerodynamic parameters and the mass ratio using the fourth-order Runge-Kutta method to obtain a target time domain response corresponding to the dynamic equation, so that based on the target time domain response and taking the steady-state amplitude value of the target bridge main beam as the minimum, the tuned mass damper is optimized to obtain corresponding optimized parameters.

[0020] Optionally, the structural parameters include the mass and moment of inertia per unit length of the main beam section of the target bridge, vertical and torsional nonlinear mechanical damping, and vertical and torsional mechanical frequencies.

[0021] Optionally, the aerodynamic parameters include flutter derivatives of nonlinear self-excited aerodynamic lift and torque.

[0022] Optionally, the step of performing parameter optimization on the tuned mass damper to obtain corresponding optimized parameters includes:

[0023] The tuned mass damper is optimized by using a gradient-based optimization algorithm to obtain corresponding optimized parameters.

[0024] In a second aspect, the present application provides a bridge flutter control device, comprising:

[0025] A dynamic equation building module is used to establish the dynamic equations of the bridge-tuned mass damper-nonlinear flutter coupling system for the two-degree-of-freedom vertical and torsional coupled nonlinear flutter of the target bridge; wherein the tuned mass dampers are symmetrically arranged on both sides of the main beam section of the target bridge;

[0026] A parameter optimization module is used to optimize the parameters of the tuned mass damper under the target wind speed by calculating the time domain response of the dynamic equation and taking the minimum steady-state amplitude value of the target bridge main beam as the principle to obtain the corresponding optimized parameters;

[0027] A flutter control module is used to design the tuned mass damper based on the optimized parameters, so as to perform nonlinear flutter control on the target bridge through the obtained tuned mass damper.

[0028] In a third aspect, the present application provides an electronic device, including:

[0029] Memory, used to store computer programs;

[0030] A processor is used to execute the computer program to implement the bridge flutter control method as described above.

[0031] In a fourth aspect, the present application provides a computer-readable storage medium for storing a computer program, wherein the computer program, when executed by a processor, implements the bridge flutter control method as described above.

[0032] It can be seen that the present application establishes the dynamic equation of the bridge-tuned mass damper-nonlinear flutter coupling system for the two-degree-of-freedom vertical and torsional coupled nonlinear flutter of the target bridge; wherein the tuned mass damper is symmetrically arranged on both sides of the cross section of the main beam of the target bridge; then, under the target wind speed, by calculating the time domain response of the dynamic equation, the tuned mass damper is optimized based on the principle of minimizing the steady-state amplitude value of the main beam of the target bridge, and the corresponding optimized parameters are obtained; finally, the tuned mass damper is designed based on the optimized parameters, so as to control the nonlinear flutter of the target bridge through the obtained tuned mass damper. In this way, the present application takes into account the coupling effect of wind, bridge, and tuned mass damper under the nonlinear flutter control target, and can design more suitable tuned mass damper parameters so that the tuned mass damper can be applied to nonlinear flutter control. BRIEF DESCRIPTION OF THE DRAWINGS

[0033] In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings required for use in the embodiments or the description of the prior art will be briefly introduced below. Obviously, the drawings described below are only embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on the provided drawings without paying creative work.

[0034] Figure 1 A flow chart of a bridge flutter control method disclosed in this application;

[0035] Figure 2A schematic structural diagram of a bridge-tuned mass damper-nonlinear flutter coupling system disclosed in the present application;

[0036] Figure 3 A TMD parameter optimization flow chart disclosed in this application;

[0037] Figure 4 A schematic diagram of vertical and torsional steady-state amplitude comparison disclosed in the present application;

[0038] Figure 5 A minimum TMD quality comparison schematic diagram disclosed in this application;

[0039] Figure 6 A schematic diagram of the structure of a bridge flutter control device disclosed in this application;

[0040] Figure 7 This is a structural diagram of an electronic device disclosed in this application. DETAILED DESCRIPTION

[0041] The following will be combined with the drawings in the embodiments of the present invention to clearly and completely describe the technical solutions in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.

[0042] It should be pointed out that the commonly used TMD parameter optimization method is to derive the traditional optimization formula of the optimal design parameters of TMD for controlling self-excited motion by setting the real part of the eigenvalue of the bridge-TMD system motion control equation to zero; however, the formula has two defects: first, these parameters are the optimal design parameters only when the negative damping of the self-excited motion is equal to the maximum allowable negative damping, which has certain particularity, and the formula uses the structural characteristic frequency and damping ratio to design the TMD parameters, while the flutter frequency will change with the wind speed (that is, the influence of aerodynamic damping and aerodynamic stiffness effect is not considered), so the TMD obtained in this way may not be optimal; second, the formula is derived based on the linear flutter theory, and the influence of structural and aerodynamic nonlinear effects cannot be considered, so the TMD obtained may not be optimal. In addition, within a certain range, the control effect of TMD on the structure is proportional to the mass of TMD, but too large TMD mass will lead to an increase in the cost of bridge construction, and too small TMD mass will lead to poor control effect, so it is crucial to find the most economical TMD while ensuring structural safety. The linear flutter control target (i.e., the critical wind speed is greater than the target wind speed) essentially does not allow the bridge to vibrate (flutter), while the nonlinear flutter control target (i.e., the flutter amplitude is less than the specified safety threshold) essentially allows the bridge to have a certain self-limiting limit cycle vibration (similar to vortex vibration control). The linear flutter control target is more conservative, and the nonlinear flutter control target appropriately relaxes the control requirements while ensuring the safety of the bridge. Therefore, the minimum TMD mass designed according to the linear flutter control target may not be economical. Therefore, due to the defects in the linear flutter control target and the TMD optimization formula, the optimized TMD parameters may not be the optimal values, that is, the mass of the designed TMD is not the minimum mass. For these problems, the present application provides a bridge flutter control method for nonlinear flutter control. Under the nonlinear flutter control target, considering the coupling effects of wind, bridge, and tuned mass damper, more suitable tuned mass damper parameters can be designed so that the tuned mass damper can be applied to nonlinear flutter control.

[0043] See also Figure 1 As shown, an embodiment of the present invention discloses a bridge flutter control method, comprising:

[0044] Step S11, for the two-degree-of-freedom vertical and torsional coupled nonlinear flutter of the target bridge, establish the dynamic equations of the bridge-tuned mass damper-nonlinear flutter coupling system; wherein the tuned mass dampers are symmetrically arranged on both sides of the main beam section of the target bridge.

[0045] For the control of nonlinear flutter of bridges by tuned mass dampers (TMDs), the present application introduces a symmetrically arranged TMD in a nonlinear elastic two-dimensional bridge section system considering the coupling of vertical and torsional degrees of freedom, and the TMDs are symmetrically distributed on both sides of the main beam section, and are installed on both sides of the bridge section as much as possible under the premise of easy installation; according to the above-mentioned TMD arrangement, based on the nonlinear self-excited forces of the two-degree-of-freedom vertical and torsional coupling, the two modes of two-degree-of-freedom vertical and torsional coupling are considered to participate in the two-dimensional coupled nonlinear flutter, and the bridge-TMD-nonlinear flutter coupling dynamic equation can be established.

[0046] In a specific embodiment, the kinetic equation is:

[0047] ;

[0048] ;

[0049] ;

[0050] ;

[0051] Wherein, m and I represent the mass and moment of inertia per unit length of the main beam section of the target bridge, respectively. and denote the vertical and torsional nonlinear mechanical damping, respectively, and denote the vertical and torsional mechanical frequencies respectively, , , are the vertical displacement, velocity and acceleration of the main beam respectively, , , are the torsional displacement, velocity and acceleration of the main beam motion, respectively. and denote the nonlinear self-excited aerodynamic lift and torque, respectively, , denote the mass per unit length of the windward and leeward tuned mass dampers, respectively, represents the sum of the mass per unit length of the windward and leeward tuned mass dampers, , denote the vertical displacements of the tuned mass dampers on the windward and leeward sides, respectively, It represents the horizontal distance from the tuned mass damper to the center line of the main beam section. represents the damping ratio of the windward and leeward tuned mass dampers, represents the frequency of the windward and leeward tuned mass dampers. Figure 2The figure shows the schematic diagram of the bridge-tuned mass damper-nonlinear flutter coupling system. In order to make the calculation results more universal, some dimensionless parameters are defined as follows:

[0052] ;

[0053] in, represents the mass ratio of the TMD mass to the bridge mass, Represents the frequency ratio of the TMD frequency to the torsional mode frequency of the bridge.

[0054] Step S12: Under the target wind speed, by calculating the time domain response of the dynamic equation, the parameters of the tuned mass damper are optimized based on the principle of minimizing the steady-state amplitude value of the target bridge main beam to obtain corresponding optimized parameters.

[0055] Furthermore, after constructing the dynamic equations of the bridge-tuned mass damper-nonlinear flutter coupling system through the above steps, in order to maximize the control effect of TMD on the post-flutter performance of the bridge, and considering that nonlinear flutter allows the structure to have an amplitude within a certain threshold, we can choose to minimize the torsional steady-state amplitude of the bridge main beam as the principle, and optimize the parameters of the tuned mass damper based on the time domain response of the dynamic equation to obtain the corresponding optimized parameters.

[0056] In a specific embodiment, the time-domain response of the dynamic equation is calculated, and the parameters of the tuned mass damper are optimized based on the principle of minimizing the steady-state amplitude value of the target bridge main beam to obtain the corresponding optimized parameters, which may include: using the fourth-order Runge-Kutta method to calculate the time-domain response of the dynamic equation, so as to optimize the parameters of the tuned mass damper based on the principle of minimizing the steady-state amplitude value of the target bridge main beam to obtain the corresponding optimized parameters. Specifically, the present application can use the fourth-order Runge-Kutta method (Runge-Kutta, RK4) to solve the time-domain response of the motion equation of the bridge-TMD-nonlinear flutter coupling system, and take the minimum steady-state amplitude value of the main beam as the optimization target of the TMD parameters at a certain target wind speed, and finally obtain the optimized parameters of the TMD.

[0057] In another embodiment, the calculation of the time domain response of the dynamic equation using the fourth-order Runge Kutta method may include: determining the structural parameters, aerodynamic parameters and mass ratio of the tuned mass damper of the target bridge; calculating the time domain response of the dynamic equation based on the structural parameters, the aerodynamic parameters and the mass ratio using the fourth-order Runge Kutta method to obtain the target time domain response corresponding to the dynamic equation, so as to optimize the parameters of the tuned mass damper based on the target time domain response and the principle of minimizing the steady-state amplitude value of the main beam of the target bridge, and obtain the corresponding optimized parameters. Specifically, first determine the structural parameters, aerodynamic parameters and mass ratio of the target bridge, use the fourth-order Runge Kutta method to solve the time domain response of the motion equation of the bridge-TMD-nonlinear flutter coupling system, and then optimize the TMD parameters with the minimum torsional steady-state amplitude value of the main beam as the TMD parameter optimization target at the target wind speed. Further, the structural parameters may include the mass and moment of inertia per unit length of the target bridge main beam section, vertical and torsional nonlinear mechanical damping, and vertical and torsional mechanical frequencies. Correspondingly, the aerodynamic parameters may include flutter derivatives of nonlinear self-excited aerodynamic lift and torque.

[0058] Step S13: designing the tuned mass damper based on the optimized parameters, so as to perform nonlinear flutter control on the target bridge through the obtained tuned mass damper.

[0059] In this embodiment, the tuning mass damper is optimized to obtain the corresponding optimized parameters, which may include: optimizing the tuned mass damper parameters using a gradient-based optimization algorithm to obtain the corresponding optimized parameters. Specifically, the TMD parameter optimization process may use a gradient-based optimizer (GBO) to find the optimal parameters of the TMD; the algorithm is a gradient-based Newton method, using two main operators, the gradient search rule (Gradient Search Rule, GSR) and the local escaping operator (Local Escaping Operator, LEO) and a set of vectors to search the space, and considering the minimization problem of the objective function in the optimization problem. GSR uses a gradient-based method to enhance the exploration trend, accelerate the convergence speed, and obtain a better position in the search space.

[0060] In a specific embodiment, Figure 3 As shown in the figure, in the process of optimizing the parameters of the tuned mass damper using the gradient-based optimization algorithm, it can be seen that the fourth-order Runge-Kutta method is used to calculate the time domain response of the dynamic equation by combining the structural parameters, aerodynamic parameters and the mass ratio in the TMD parameters, and then the torsional steady-state amplitude value of the main beam is calculated. As the objective function F s ; Initialize the population Ite=0 and determine the F of each individual in the population s , and then in the optimization process, select the best individual F s，best and the worst individual F s，worst To update the population F s，best and F s，worst , so that after several rounds of optimization, the smallest individual F can be obtained s , and finally output the result to end the parameter optimization process. It can be understood that the TMD parameter optimization process here fully considers the influence of aerodynamic damping and stiffness, and the structural damping and aerodynamic self-excitation force in the system are both in nonlinear form, which fully considers the structural and aerodynamic nonlinear effects, and can find the optimal TMD parameters, which can effectively increase the critical wind speed of bridge flutter, reduce the nonlinear flutter amplitude to meet the safety threshold requirements, and ensure the wind resistance safety of the bridge; and can reduce the required TMD mass, reduce the cost of TMD use, and promote the large-scale application of TMD in nonlinear flutter control.

[0061] In a specific embodiment, a large-span single-layer truss suspension bridge is taken as an example to compare the effects of the TMD parameters optimized by the present solution and the TMD parameters optimized by the existing commonly used solution. In order to more intuitively show the control performance of the TMD parameters optimized by the present solution on the nonlinear flutter of the bridge, the nonlinear flutter control efficiency is defined as follows:

[0062] ;

[0063] ;

[0064] in, , represent the torsional steady-state amplitudes of the original bridge structure and the bridge-TMD system, respectively; , They represent the vertical steady-state amplitudes of the original bridge structure and the bridge-TMD system respectively; it should be noted that under different wind speeds , , , are all functions of wind speed U.

[0065] Furthermore, the control efficiency of this scheme and the existing commonly used schemes for the vertical and torsional steady-state amplitudes of nonlinear flutter under different wind speed changes is compared as follows: Figure 4As shown. It can be seen that the TMD parameters obtained by the conventional method have poor control effects on the vertical and torsional steady-state amplitudes of the bridge, while the TMD parameters obtained by the novel method of this scheme significantly reduce the vertical and torsional steady-state amplitudes of the bridge, proving that the TMD parameters obtained by this scheme are better. For example, at mass ratios of 0.10%, 0.15%, and 0.20%, the TMD parameters obtained by this scheme can achieve 100% control effects on the vertical and torsional steady-state amplitudes of the bridge at different wind speeds, and reducing the mass ratio to 0.05% can achieve a control effect of more than 80%, and further reducing the mass ratio to 0.01%, it can achieve a control effect of 51% at a wind speed of 10.5m / s, and the control effect at other wind speeds is also more than 9%, but the control efficiency of the TMD parameters obtained by the conventional schemes for the nonlinear flutter steady-state amplitude at mass ratios of 0.01%, 0.05%, 0.10%, 0.15%, and 0.20% is not as good as the TMD parameters obtained by this scheme.

[0066] The above results show that when the mass ratio is greater than a certain value, the TMD parameters obtained by this scheme can significantly reduce the vertical and torsional steady-state amplitudes under different wind speeds, and even play a role in vibration elimination. This shows that by considering the structural and aerodynamic non-effects, the TMD control effect on nonlinear flutter can be greatly improved, and the critical flutter wind speed can be increased.

[0067] It is understandable that within a certain range, the control effect of TMD on the structure is proportional to the mass of TMD, but too large a TMD mass will lead to an increase in the cost of bridge construction, and too small a TMD mass will lead to poor control effects, so it is crucial to find the most economical and appropriate TMD mass while ensuring structural safety. On the one hand, the linear flutter control target (i.e., the critical wind speed is greater than the target wind speed) essentially does not allow the bridge to vibrate (flutter), while the nonlinear flutter control target (i.e., the flutter amplitude is less than the specified safety threshold) essentially allows the bridge to have a certain self-limiting limit cycle vibration (similar to the vortex vibration control target). The linear flutter control target is more conservative, and the nonlinear flutter control target appropriately relaxes the control requirements while ensuring the safety of the bridge. Therefore, the minimum TMD mass designed according to the linear flutter control target may not be economical. On the other hand, the defects of the existing commonly used schemes may cause the designed TMD parameters to be non-optimal (the mass of the designed TMD is not the minimum mass). For example Figure 5 As shown, for comparison, this scheme is adopted ( Figure 5 Left side) and existing common solutions ( Figure 5The minimum TMD mass of TMD parameters is obtained by optimizing the TMD parameters (right side). It can be seen that, firstly, the TMD whose TMD parameters are optimized by this scheme to meet the linear and nonlinear flutter control targets is more economical than the TMD optimized by the existing commonly used schemes, that is, by considering the structural and aerodynamic nonlinear effects, the minimum TMD mass ratio designed according to the linear and nonlinear flutter control targets can be further effectively reduced. For example, the minimum TMD mass ratios that meet the nonlinear and linear flutter control targets obtained by optimizing this scheme are 0.03% and 0.06%, respectively, while the minimum TMD mass ratios that meet the nonlinear and linear flutter control targets obtained by the existing commonly used schemes are 0.50% and 0.80%, respectively. Second, compared with the TMD obtained by the existing commonly used schemes under the linear flutter control target, the TMD obtained by this scheme under the nonlinear flutter control target has better economy. For example, the minimum TMD mass ratio ( ) is much smaller than the minimum TMD mass ratio ( ).

[0068] It can be seen that under the nonlinear flutter control target, the present application considers the coupling effects of wind, bridge, and tuned mass damper, and can design better tuned mass damper parameters, so that the tuned mass damper can be applied to nonlinear flutter control; in the process of TMD parameter optimization, the influence of aerodynamic damping and stiffness is fully considered, and the structural damping and aerodynamic self-excitation force in the system are both in nonlinear form, and the structural and aerodynamic nonlinear effects are fully considered. The optimal TMD parameters can be found, which can effectively increase the critical wind speed of bridge flutter, reduce the nonlinear flutter amplitude to meet the safety threshold requirements, and ensure the wind resistance safety of the bridge; and the nonlinear flutter control target can reduce the required TMD mass, reduce the cost of TMD use, and promote the large-scale application of TMD in practical engineering.

[0069] like Figure 6 As shown, the embodiment of the present application discloses a bridge vibration control device, comprising:

[0070] A dynamic equation building module 11 is used to establish a dynamic equation of a bridge-tuned mass damper-nonlinear flutter coupling system for two-degree-of-freedom vertical and torsional coupled nonlinear flutter of a target bridge; wherein the tuned mass dampers are symmetrically arranged on both sides of a main beam section of the target bridge;

[0071] A parameter optimization module 12 is used to optimize the parameters of the tuned mass damper by calculating the time domain response of the dynamic equation under the target wind speed, based on the principle of minimizing the steady-state amplitude value of the target bridge main beam, to obtain corresponding optimized parameters;

[0072] The flutter control module 13 is used to design the tuned mass damper based on the optimized parameters, so as to perform nonlinear flutter control on the target bridge through the obtained tuned mass damper.

[0073] It can be seen that, under the objective of nonlinear flutter control, the present application takes into account the coupling effects of wind, bridge, and tuned mass damper, and can design more appropriate tuned mass damper parameters so that the tuned mass damper can be applied to nonlinear flutter control.

[0074] In a specific embodiment, the parameter optimization module 12 may include:

[0075] The time domain response calculation submodule is used to calculate the time domain response of the dynamic equation using the fourth-order Runge-Kutta method, so as to optimize the parameters of the tuned mass damper based on the principle of minimizing the steady-state amplitude value of the target bridge main beam to obtain the corresponding optimized parameters.

[0076] In another specific embodiment, the time domain response calculation submodule may include:

[0077] A parameter determination unit, used to determine the structural parameters, aerodynamic parameters of the target bridge and the mass ratio of the tuned mass damper;

[0078] The time domain response calculation unit is used to calculate the time domain response of the dynamic equation based on the structural parameters, the aerodynamic parameters and the mass ratio using the fourth-order Runge-Kutta method to obtain the target time domain response corresponding to the dynamic equation, so as to optimize the parameters of the tuned mass damper based on the target time domain response and the principle of minimizing the steady-state amplitude value of the target bridge main beam to obtain the corresponding optimized parameters.

[0079] In another specific embodiment, the parameter optimization module 12 may include:

[0080] The second parameter optimization unit is used to optimize the parameters of the tuned mass damper using a gradient-based optimization algorithm to obtain corresponding optimized parameters.

[0081] Furthermore, the present application also discloses an electronic device. Figure 7 This is a structural diagram of an electronic device 20 according to an exemplary embodiment. The content in the diagram cannot be regarded as any limitation on the scope of use of the present application.

[0082] Figure 7A schematic diagram of the structure of an electronic device 20 provided in an embodiment of the present application. The electronic device 20 may specifically include: at least one processor 21, at least one memory 22, a power supply 23, a communication interface 24, an input / output interface 25, and a communication bus 26. The memory 22 is used to store a computer program, which is loaded and executed by the processor 21 to implement the relevant steps in the bridge flutter control method disclosed in any of the aforementioned embodiments. In addition, the electronic device 20 in this embodiment may specifically be an electronic computer.

[0083] In this embodiment, the power supply 23 is used to provide working voltage for each hardware device on the electronic device 20; the communication interface 24 can create a data transmission channel between the electronic device 20 and the external device, and the communication protocol it follows is any communication protocol that can be applied to the technical solution of the present application, and is not specifically limited here; the input and output interface 25 is used to obtain external input data or output data to the outside world, and its specific interface type can be selected according to specific application needs and is not specifically limited here.

[0084] In addition, the memory 22, as a carrier for storing resources, can be a read-only memory, a random access memory, a disk or an optical disk, etc. The resources stored thereon can include an operating system 221, a computer program 222, etc., and the storage method can be temporary storage or permanent storage.

[0085] The operating system 221 is used to manage and control the hardware devices and computer programs 222 on the electronic device 20, and can be Windows Server, Netware, Unix, Linux, etc. In addition to computer programs that can be used to complete the bridge flutter control method performed by the electronic device 20 disclosed in any of the aforementioned embodiments, the computer program 222 can further include computer programs that can be used to complete other specific tasks.

[0086] Furthermore, the present application also discloses a computer-readable storage medium for storing a computer program; wherein, when the computer program is executed by a processor, the bridge flutter control method disclosed above is implemented. For the specific steps of the method, reference may be made to the corresponding contents disclosed in the above embodiments, and no further description will be given here.

[0087] In this specification, each embodiment is described in a progressive manner, and each embodiment focuses on the differences from other embodiments. The same or similar parts between the embodiments can be referred to each other. For the device disclosed in the embodiment, since it corresponds to the method disclosed in the embodiment, the description is relatively simple, and the relevant parts can be referred to the method part.

[0088] Professionals may further appreciate that the units and algorithm steps of each example described in conjunction with the embodiments disclosed herein can be implemented in electronic hardware, computer software, or a combination of the two. In order to clearly illustrate the interchangeability of hardware and software, the composition and steps of each example have been generally described in the above description according to function. Whether these functions are performed in hardware or software depends on the specific application and design constraints of the technical solution. Professionals and technicians may use different methods to implement the described functions for each specific application, but such implementation should not be considered to be beyond the scope of this application.

[0089] The steps of the method or algorithm described in conjunction with the embodiments disclosed herein may be implemented directly using hardware, a software module executed by a processor, or a combination of the two. The software module may be placed in a random access memory (RAM), a memory, a read-only memory (ROM), an electrically programmable ROM, an electrically erasable programmable ROM, a register, a hard disk, a removable disk, a CD-ROM, or any other form of storage medium known in the art.

[0090] Finally, it should be noted that, in this article, relational terms such as first and second, etc. are only used to distinguish one entity or operation from another entity or operation, and do not necessarily require or imply any such actual relationship or order between these entities or operations. Moreover, the terms "include", "comprise" or any other variants thereof are intended to cover non-exclusive inclusion, so that a process, method, article or device including a series of elements includes not only those elements, but also other elements not explicitly listed, or also includes elements inherent to such process, method, article or device. In the absence of further restrictions, the elements defined by the sentence "comprise a ..." do not exclude the presence of other identical elements in the process, method, article or device including the elements.

[0091] The technical solution provided by the present application is introduced in detail above. Specific examples are used in this article to illustrate the principles and implementation methods of the present application. The description of the above embodiments is only used to help understand the method of the present application and its core idea. At the same time, for general technicians in this field, according to the idea of ​​the present application, there will be changes in the specific implementation methods and application scope. In summary, the content of this specification should not be understood as a limitation on the present application.

Claims

1. A bridge flutter control method, characterized in that: include: For the two-degree-of-freedom vertical and torsional coupled nonlinear flutter of the target bridge, the dynamic equations of the bridge-tuned mass damper-nonlinear flutter coupling system are established; wherein the tuned mass dampers are symmetrically arranged on both sides of the main beam section of the target bridge; Under the target wind speed, by calculating the time domain response of the dynamic equation, the tuned mass damper is optimized based on the principle of minimizing the steady-state amplitude value of the target bridge main beam to obtain corresponding optimized parameters; The tuned mass damper is designed based on the optimized parameters, so as to perform nonlinear flutter control on the target bridge through the obtained tuned mass damper.

2. The bridge flutter control method according to claim 1, characterized in that: The kinetic equation is: ； ； ； ； Wherein, m and I represent the mass and moment of inertia per unit length of the main beam section of the target bridge, respectively. and denote the vertical and torsional nonlinear mechanical damping, respectively, and denote the vertical and torsional mechanical frequencies respectively, , , are the vertical displacement, velocity and acceleration of the main beam respectively, , , are the torsional displacement, velocity and acceleration of the main beam motion, respectively. and denote the nonlinear self-excited aerodynamic lift and torque, respectively, , denote the mass per unit length of the windward and leeward tuned mass dampers, respectively, represents the sum of the mass per unit length of the windward and leeward tuned mass dampers, , denote the vertical displacements of the tuned mass dampers on the windward and leeward sides, respectively, It represents the horizontal distance from the tuned mass damper to the center line of the main beam section. represents the damping ratio of the windward and leeward tuned mass dampers, represents the frequencies of the windward and leeward tuned mass dampers.

3. The bridge flutter control method according to claim 1, characterized in that: The method calculates the time domain response of the dynamic equation and optimizes the parameters of the tuned mass damper based on the principle of minimizing the steady-state amplitude value of the target bridge main beam to obtain corresponding optimized parameters, including: The time domain response of the dynamic equation is calculated using the fourth-order Runge-Kutta method, so as to optimize the parameters of the tuned mass damper based on the principle of minimizing the steady-state amplitude value of the target bridge main beam, and obtain the corresponding optimized parameters.

4. The bridge flutter control method according to claim 3, characterized in that: The method of calculating the time domain response of the dynamic equation by using the fourth-order Runge-Kutta method includes: Determining structural parameters, aerodynamic parameters of the target bridge and a mass ratio of the tuned mass damper; The time domain response of the dynamic equation is calculated based on the structural parameters, the aerodynamic parameters and the mass ratio using the fourth-order Runge-Kutta method to obtain a target time domain response corresponding to the dynamic equation, so that based on the target time domain response and taking the steady-state amplitude value of the target bridge main beam as the minimum, the tuned mass damper is optimized to obtain corresponding optimized parameters.

5. The bridge flutter control method according to claim 4, characterized in that: The structural parameters include the mass and moment of inertia per unit length of the main beam section of the target bridge, vertical and torsional nonlinear mechanical damping, and vertical and torsional mechanical frequencies.

6. The bridge flutter control method according to claim 4, characterized in that: The aerodynamic parameters include nonlinear self-excited aerodynamic lift and flutter derivatives of torque.

7. The bridge flutter control method according to any one of claims 1 to 6, characterized in that: The step of optimizing the parameters of the tuned mass damper to obtain corresponding optimized parameters includes: The tuned mass damper is optimized by using a gradient-based optimization algorithm to obtain corresponding optimized parameters.

8. A bridge flutter control device, characterized in that: include: A dynamic equation building module is used to establish the dynamic equations of the bridge-tuned mass damper-nonlinear flutter coupling system for the two-degree-of-freedom vertical and torsional coupled nonlinear flutter of the target bridge; wherein the tuned mass dampers are symmetrically arranged on both sides of the main beam section of the target bridge; A parameter optimization module is used to optimize the parameters of the tuned mass damper under the target wind speed by calculating the time domain response of the dynamic equation and taking the minimum steady-state amplitude value of the target bridge main beam as the principle to obtain the corresponding optimized parameters; A flutter control module is used to design the tuned mass damper based on the optimized parameters, so as to perform nonlinear flutter control on the target bridge through the obtained tuned mass damper.

9. An electronic device, characterized in that: include: Memory, used to store computer programs; A processor, configured to execute the computer program to implement the bridge flutter control method according to any one of claims 1 to 7.

10. A computer-readable storage medium, characterized in that: Used to store a computer program, which, when executed by a processor, implements the bridge vibration control method according to any one of claims 1 to 7.

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