Three-damper control system for multi-order modal vibration of inhaul cable and vibration monitoring method

Abstract

The invention discloses an inhaul cable multi-order modal vibration three-damper control system and a vibration monitoring method, the system comprises a mechanical damper arranged at a near cable-beam anchoring end of a cable-stayed bridge, and the mechanical damper comprises a speed type damper and a tuned mass damper; the two speed type dampers form an isosceles trapezoid type double-speed type damper in an isosceles trapezoid structure.

Description

Technical Field

[0001] The present invention belongs to the technical field of cable vibration control, and more specifically, relates to a three-damper control system and a vibration monitoring method for multi-order modal vibration of a cable. Background Art

[0002] Cables are the most critical force transmission structure of cable-stayed bridges. Vibration control of cables is crucial to the safe and stable operation of cable-stayed bridges during their service life. Cables have the characteristics of large slenderness ratio, light weight, low stiffness and low damping. They are very likely to experience multi-modal vibrations under the stimulation of wind, rain, and movement of anchor ends, causing fatigue damage to cables and inducing safety problems of bridge structures. Large cable vibrations can also easily cause visual panic to drivers of vehicles on the bridge, threatening driving safety on the bridge. By setting external mechanical dampers for cables near the cable-beam anchor end to control vibration, the problem of wind-induced vibration of cables can be solved economically and effectively, ensuring the safe and stable operation of cable-stayed bridges.

[0003] The cable length of a kilometer-long-span cable-stayed bridge near the middle of the span often exceeds 500 meters. In addition to the characteristics of traditional cables mentioned above, such long cables also have the following two important characteristics that cannot be ignored: (1) Such cables have an extremely low fundamental frequency; (2) Such cables face a relatively wide wind profile within the full clearance range, that is, the wind speed range experienced by the entire cable is large. These characteristics make it very easy for ultra-long cables to experience large-scale, multi-order modal vibrations at the same time, and involve the problem of the even sum of the in-plane and out-of-plane vibrations of the cables. The traditional vibration control method for medium and short cables, which mainly focuses on low-order in-plane vibration control, cannot fully solve the problem of large-scale, multi-modal in-plane and out-of-plane coupled vibrations of the cables. Summary of the invention

[0004] In order to solve the above technical problems, the present invention proposes a three-damper control system for multi-order modal vibration of a cable, comprising:

[0005] A mechanical damper disposed near the cable-beam anchorage end of the cable-stayed bridge, wherein the mechanical damper comprises a velocity damper and a tuned mass damper;

[0006] The two velocity type dampers are combined into an isosceles trapezoidal structure to form an "isosceles trapezoidal" type dual-velocity damper.

[0007] Furthermore, one end of the "isosceles trapezoidal" dual-speed damper is connected to the cable by a clamp, and the other end is supported on the main beam top plate by a damper support column.

[0008] Furthermore, the tuned mass damper is fixed to the cable by a clamp and is arranged below the "isosceles trapezoidal" dual-speed damper.

[0009] Furthermore, an "isosceles trapezoidal" dual-speed damper is located above the bridge deck.

[0010] Furthermore, a tuned mass damper is located above the bridge deck.

[0011] The present invention also provides a vibration monitoring method for a cable of a three-damper control system for multi-order modal vibration of the cable, comprising:

[0012] Acquiring cable data within a certain time range, wherein the cable data includes: equivalent mass of the cable, displacement of the cable, displacement velocity, and amplitude of wind excitation;

[0013] Setting a nonlinear vibration model and simulating the vibration of the cable according to the cable data;

[0014] An optimization model of the damper system is set, an optimization index of the damper system is calculated, and the position or quantity of the damper system is adjusted so that the optimization index of the damper system is close to a preset optimization threshold.

[0015] Furthermore, the nonlinear vibration model includes:

[0016]

[0017] Where m is the equivalent mass of the cable, which is used to describe the inertial characteristics of the cable during vibration, x is the displacement of the cable, and t is the time. is a nonlinear damping function used to describe the relationship between displacement x and displacement velocity The associated damping force, ψ(x) is the nonlinear restoring force function, which is used to describe the restoring force generated by the cable due to the displacement x, γ is the first adjustment factor of the nonlinear vibration model, η is the second adjustment factor of the nonlinear vibration model, k1 is the third adjustment factor of the nonlinear vibration model, k2 is the fourth adjustment factor of the nonlinear vibration model, F0 is the amplitude of wind excitation, ω is the angular frequency of wind excitation, which is used to describe the rate of change of wind.

[0018] Furthermore, the nonlinear damping function include:

[0019]

[0020] Among them, φ0 is the initial damping coefficient, α is the first adjustment factor of the nonlinear damping function, φ1 is the second adjustment factor of the nonlinear damping function, φ2 is the third adjustment factor of the nonlinear damping function, p is the fourth adjustment factor of the nonlinear damping function, and q is the fifth adjustment factor of the nonlinear damping function.

[0021] Furthermore, the nonlinear restoring force function ψ(x) includes:

[0022]

[0023] Wherein, k0 is the initial stiffness coefficient, which is used to describe the change of the restoring force of the cable under small displacement conditions; k3 is the stiffness coefficient of the cable after it exceeds the critical displacement x0, which is used to describe the change of the restoring force of the cable under large displacement conditions; β is the first adjustment factor of the nonlinear restoring force function; β′ is the second adjustment factor of the nonlinear restoring force function; n is the third adjustment factor of the nonlinear restoring force function; and m′ is the fourth adjustment factor of the nonlinear restoring force function.

[0024] Furthermore, the optimization model of the damper system includes:

[0025]

[0026] Among them, J is the optimization index of the damper system, which is used to describe the optimization of the damper system so that the vibration of the cable is controlled within the preset vibration threshold. T is the time range, which indicates the total duration of control optimization. λ is the adjustment factor of the optimization model of the damper system.

[0027] In general, the above technical solution conceived by the present invention has the following beneficial effects compared with the prior art:

[0028] Compared with the traditional cable vibration control method, the present invention has at least the following four obvious advantages: (1) Reliability and practicality. The present invention adopts a three-damper solution of two speed types and one TMD type. Through effective mechanical combination, the advantages of the speed type and TMD type dampers are brought into play to achieve multi-order modal vibration control of ultra-long cables. It has been verified by actual engineering projects that the method of the present invention has a high actual vibration reduction efficiency for cable vibration; (2) Convenience. The speed type and TMD type dampers required by the invention are not limited in form and structural features. For example, the speed type damper can adopt magnetorheological damper, viscous damper or plug-in viscous shear damper, etc., and the TMD type damper can adopt magnetorheological TMD or traditional hydraulic damping type TMD, etc. The specific damper form can be selected and combined according to the actual project requirements, which has practical convenience advantages; (3) Economic advantages. The present invention uses the speed type damper to provide direct damping to control the multi-order modal vibration of the cable. TMD damping is used to provide indirect damping to control the ultra-high-order narrow-band vibration of the cable. The ultra-high-order narrow-band vibration characteristics of the cable and the advantages of TMD are fully combined to achieve higher economic efficiency. (4) Through the scientific setting of the mechanical combination of two velocity dampers, the in-plane and out-of-plane vibration of the cable are simultaneously controlled. BRIEF DESCRIPTION OF THE DRAWINGS

[0029] Figure 1 Schematic diagram of an ultra-long stay cable-three damper system according to Embodiment 1 of the present invention;

[0030] Figure 2 is a flow chart of super-long cable vibration control according to embodiment 1 of the present invention;

[0031] Figure 3 Schematic diagram of an "isosceles trapezoidal" dual-speed damper according to Embodiment 1 of the present invention;

[0032] Figure 4 is a schematic diagram of a TMD damper system according to Embodiment 1 of the present invention;

[0033] Figure 5 It is a flow chart of the vibration monitoring method of the cable according to the second embodiment of the present invention. DETAILED DESCRIPTION

[0034] In order to better understand the above technical solution, the above technical solution will be described in detail below in conjunction with the accompanying drawings and specific implementation methods.

[0035] The method provided by the present invention can be implemented in the following terminal environment, and the terminal may include one or more of the following components: a processor, a storage medium, and a display screen. The storage medium stores at least one instruction, and the instruction is loaded and executed by the processor to implement the method described in the following embodiment.

[0036] The processor may include one or more processing cores. The processor uses various interfaces and lines to connect various parts in the entire terminal, and executes various functions of the terminal and processes data by running or executing instructions, programs, code sets or instruction sets stored in the storage medium, and calling data stored in the storage medium.

[0037] The storage medium may include a random access memory (RAM) or a read-only memory (ROM). The storage medium may be used to store instructions, programs, codes, code sets or instructions.

[0038] The display screen is used to display the user interface of each application.

[0039] In addition, those skilled in the art can understand that the structure of the above terminal does not constitute a limitation on the terminal, and the terminal may include more or fewer components, or combine certain components, or arrange the components differently. For example, the terminal also includes components such as a radio frequency circuit, an input unit, a sensor, an audio circuit, and a power supply, which will not be described in detail here.

[0040] Example 1

[0041] by Figure 1 Taking the "super-long cable-three damper system" shown in FIG. 1 as an example, the specific technical means of implementing the super-long cable vibration control of the present invention is described. The specific process is as follows: Figure 2 shown. Figure 1The two ends of the cable in the "super-long cable-three-damper system" shown are fixed to the bridge tower and the main beam respectively. The three-damper system is divided into a "2+1" combination, namely: (1) two velocity dampers form an "isosceles trapezoidal" double damper structure, such as Figure 3 As shown in Figure 1. One end is connected to the cable itself by a clamp, and the other end is supported on the main beam top plate by the damper support column. Specifically, the top of the two-speed damper is hinged to the clamp by a ball hinge, and the bottom is hinged to the short crossbeam set at the top of the support column by a ball hinge. (2) A TMD damper is fixed to the cable by a clamp and is set below the "isosceles trapezoidal" double damper, as shown in Figure 1. Figure 1 shown.

[0042] Before installing the three-damper system, the damping coefficient and installation position of the damper should be optimized to ensure that it can simultaneously control the in-plane and out-of-plane vibrations of the cable's multiple modal states. The installation position of the dual-speed damper is determined as follows: the installation position should be between 0.020l and 0.035l based on the cable length, cable force, cable diameter and other parameters in the specific project. The shorter the cable, the larger the relative installation position of the damper should be. In the formula, l is the calculated cable length of the cable. Figure 1 As shown, in the present invention, the dual-speed damper is composed of Figure 3 The "isosceles trapezoidal" type damper system shown in the figure is installed at a position slightly higher than the bridge deck near the cable-beam anchorage end, while the TMD type damper is installed at a position slightly lower than the bridge deck near the cable-beam anchorage end.

[0043] The damping coefficient of the dual damper can be calculated according to formula (1) in a specific project:

[0044]

[0045] Where, T, m, n opt , a, l are respectively the cable force, cable weight per unit length, target optimal order, cable installation position of the dual damper, and calculated cable length. It should be noted that the result calculated by formula (1) should be the equivalent theoretical optimal damping coefficient in the cable surface, which should be based on Figure 3 The relationship between the top and bottom angles of the "trapezoidal" shown converts the in-plane equivalent damping coefficient into the damping coefficient of a single damper. For cable-stayed bridges with a main span of less than 1500m, the cable damper coefficient should be between 20 and 50kN·s / m, with a relatively small value for short cable dampers and a relatively large value for long cable dampers.

[0046] Figure 5The TMD damper shown is used to control high-order narrow-band vibrations. It has been verified in actual engineering that only a small TMD mass is needed to control high-order narrow-band vibrations with the cable. The modal mass ratio of TMD to cable can be between 0.2% and 0.5%, corresponding to a ratio of 0.1% to 0.25% to the physical mass of the cable. The installation position of the TMD damper should be between a / 4 and a / 2.

[0047] Table 1 Figure 1 , Figure 3 , Figure 4 Annotations to the Figures

[0048] 1- Main beam top plate 2- Cable-beam anchorage point 3- Support column bottom base 4-Damper support column 5-Short beam at the top of the support column 6-"Isosceles trapezoidal" dual speed damper 7-Holding hoop 8-TMD damper system 9- Cable 10-Cable-tower anchor point 11-Main tower wall 12-Dual speed damper 13-Ball joint hinge parts 14-TMD damper

[0049] Example 2

[0050] like Figure 2 As shown, an embodiment of the present invention further provides a vibration monitoring method for a cable of a three-damper control system including multi-order modal vibration of the cable, comprising:

[0051] Step 101, obtaining cable data within a certain time range, wherein the cable data includes: equivalent mass of the cable, displacement of the cable, displacement velocity, and amplitude of wind excitation;

[0052] Step 102, setting a nonlinear vibration model, and simulating the vibration of the cable according to the cable data;

[0053] Specifically, the nonlinear vibration model includes:

[0054]

[0055] Where m is the equivalent mass of the cable, which is used to describe the inertial characteristics of the cable during vibration, x is the displacement of the cable, and t is the time. is a nonlinear damping function used to describe the relationship between displacement x and displacement velocity The associated damping force, ψ(x) is the nonlinear restoring force function, which is used to describe the restoring force generated by the cable due to the displacement x, γ is the first adjustment factor of the nonlinear vibration model, η is the second adjustment factor of the nonlinear vibration model, k1 is the third adjustment factor of the nonlinear vibration model, k2 is the fourth adjustment factor of the nonlinear vibration model, F0 is the amplitude of wind excitation, ω is the angular frequency of wind excitation, which is used to describe the rate of change of wind.

[0056] Specifically, the nonlinear damping function include:

[0057]

[0058] Among them, φ0 is the initial damping coefficient, α is the first adjustment factor of the nonlinear damping function, φ1 is the second adjustment factor of the nonlinear damping function, φ2 is the third adjustment factor of the nonlinear damping function, p is the fourth adjustment factor of the nonlinear damping function, and q is the fifth adjustment factor of the nonlinear damping function.

[0059] Specifically, the nonlinear restoring force function ψ(x) includes:

[0060]

[0061] Wherein, k0 is the initial stiffness coefficient, which is used to describe the change of the restoring force of the cable under small displacement conditions; k3 is the stiffness coefficient of the cable after it exceeds the critical displacement x0, which is used to describe the change of the restoring force of the cable under large displacement conditions; β is the first adjustment factor of the nonlinear restoring force function; β′ is the second adjustment factor of the nonlinear restoring force function; n is the third adjustment factor of the nonlinear restoring force function; and m′ is the fourth adjustment factor of the nonlinear restoring force function.

[0062] Step 103, setting an optimization model of the damper system, calculating the damper system optimization index, and adjusting the position or quantity of the damper system so that the damper system optimization index is close to a preset optimization threshold.

[0063] Specifically, the optimization model of the damper system includes:

[0064]

[0065] Among them, J is the optimization index of the damper system, which is used to describe the optimization of the damper system so that the vibration of the cable is controlled within the preset vibration threshold. T is the time range, which indicates the total duration of control optimization. λ is the adjustment factor of the optimization model of the damper system.

[0066] Example 3

[0067] The embodiment of the present invention further provides a storage medium storing a plurality of instructions, wherein the instructions are used to implement the vibration monitoring method of a cable of a three-damper control system including multi-order modal vibrations of the cable.

[0068] Optionally, in this embodiment, the above storage medium may be located in any computer terminal in a computer terminal group in a computer network, or in any mobile terminal in a mobile terminal group.

[0069] Optionally, in this embodiment, the storage medium is configured to store program codes for executing the following steps: Step 101, obtaining cable data within a certain time range, wherein the cable data includes: equivalent mass of the cable, displacement of the cable, displacement velocity, and amplitude of wind excitation;

[0070] Step 102, setting a nonlinear vibration model, and simulating the vibration of the cable according to the cable data;

[0071] Specifically, the nonlinear vibration model includes:

[0072]

[0073] Where m is the equivalent mass of the cable, which is used to describe the inertial characteristics of the cable during vibration, x is the displacement of the cable, and t is the time. is a nonlinear damping function used to describe the relationship between displacement x and displacement velocity The associated damping force, ψ(x) is the nonlinear restoring force function, which is used to describe the restoring force generated by the cable due to the displacement x, γ is the first adjustment factor of the nonlinear vibration model, η is the second adjustment factor of the nonlinear vibration model, k1 is the third adjustment factor of the nonlinear vibration model, k2 is the fourth adjustment factor of the nonlinear vibration model, F0 is the amplitude of wind excitation, ω is the angular frequency of wind excitation, which is used to describe the rate of change of wind.

[0074] Specifically, the nonlinear damping function include:

[0075]

[0076] Among them, φ0 is the initial damping coefficient, α is the first adjustment factor of the nonlinear damping function, φ1 is the second adjustment factor of the nonlinear damping function, φ2 is the third adjustment factor of the nonlinear damping function, p is the fourth adjustment factor of the nonlinear damping function, and q is the fifth adjustment factor of the nonlinear damping function.

[0077] Specifically, the nonlinear restoring force function ψ(x) includes:

[0078]

[0079] Wherein, k0 is the initial stiffness coefficient, which is used to describe the change of the restoring force of the cable under small displacement conditions; k3 is the stiffness coefficient of the cable after it exceeds the critical displacement x0, which is used to describe the change of the restoring force of the cable under large displacement conditions; β is the first adjustment factor of the nonlinear restoring force function; β′ is the second adjustment factor of the nonlinear restoring force function; n is the third adjustment factor of the nonlinear restoring force function; and m′ is the fourth adjustment factor of the nonlinear restoring force function.

[0080] Step 103, setting an optimization model of the damper system, calculating the damper system optimization index, and adjusting the position or quantity of the damper system so that the damper system optimization index is close to a preset optimization threshold.

[0081] Specifically, the optimization model of the damper system includes:

[0082]

[0083] Among them, J is the optimization index of the damper system, which is used to describe the optimization of the damper system so that the vibration of the cable is controlled within the preset vibration threshold. T is the time range, which indicates the total duration of control optimization. λ is the adjustment factor of the optimization model of the damper system.

[0084] Example 4

[0085] An embodiment of the present invention also proposes an electronic device, including a processor and a storage medium connected to the processor, wherein the storage medium stores multiple instructions, and the instructions can be loaded and executed by the processor to enable the processor to execute the vibration monitoring method of the cable of a three-damper control system including multi-order modal vibrations of the cable.

[0086] Specifically, the electronic device of this embodiment may be a computer terminal, and the computer terminal may include: one or more processors, and a storage medium.

[0087] Among them, the storage medium can be used to store software programs and modules, such as a vibration monitoring method for a cable of a three-damper control system including multi-order modal vibration of the cable in an embodiment of the present invention, and corresponding program instructions / modules. The processor executes various functional applications and data processing by running the software programs and modules stored in the storage medium, that is, realizing the above-mentioned vibration monitoring method for a cable of a three-damper control system including multi-order modal vibration of the cable. The storage medium may include a high-speed random storage medium, and may also include a non-volatile storage medium, such as one or more magnetic storage systems, flash memory, or other non-volatile solid-state storage media. In some instances, the storage medium may further include a storage medium remotely arranged relative to the processor, and these remote storage media may be connected to the terminal via a network. Examples of the above-mentioned network include, but are not limited to, the Internet, an intranet, a local area network, a mobile communication network, and combinations thereof.

[0088] The processor can call the information and application program stored in the storage medium through the transmission system to perform the following steps: Step 101, obtaining cable data within a certain time range, wherein the cable data includes: equivalent mass of the cable, displacement of the cable, displacement speed, and amplitude of wind excitation;

[0089] Step 102, setting a nonlinear vibration model, and simulating the vibration of the cable according to the cable data;

[0090] Specifically, the nonlinear vibration model includes:

[0091]

[0092] Where m is the equivalent mass of the cable, which is used to describe the inertial characteristics of the cable during vibration, x is the displacement of the cable, and t is the time. is a nonlinear damping function used to describe the relationship between displacement x and displacement velocity The associated damping force, ψ(x) is the nonlinear restoring force function, which is used to describe the restoring force generated by the cable due to the displacement x, γ is the first adjustment factor of the nonlinear vibration model, η is the second adjustment factor of the nonlinear vibration model, k1 is the third adjustment factor of the nonlinear vibration model, k2 is the fourth adjustment factor of the nonlinear vibration model, F0 is the amplitude of wind excitation, ω is the angular frequency of wind excitation, which is used to describe the rate of change of wind.

[0093] Specifically, the nonlinear damping function include:

[0094]

[0095] Among them, φ0 is the initial damping coefficient, α is the first adjustment factor of the nonlinear damping function, φ1 is the second adjustment factor of the nonlinear damping function, φ2 is the third adjustment factor of the nonlinear damping function, p is the fourth adjustment factor of the nonlinear damping function, and q is the fifth adjustment factor of the nonlinear damping function.

[0096] Specifically, the nonlinear restoring force function ψ(x) includes:

[0097]

[0098] Wherein, k0 is the initial stiffness coefficient, which is used to describe the change of the restoring force of the cable under small displacement conditions; k3 is the stiffness coefficient of the cable after it exceeds the critical displacement x0, which is used to describe the change of the restoring force of the cable under large displacement conditions; β is the first adjustment factor of the nonlinear restoring force function; β′ is the second adjustment factor of the nonlinear restoring force function; n is the third adjustment factor of the nonlinear restoring force function; and m′ is the fourth adjustment factor of the nonlinear restoring force function.

[0099] Step 103, setting an optimization model of the damper system, calculating the damper system optimization index, and adjusting the position or quantity of the damper system so that the damper system optimization index is close to a preset optimization threshold.

[0100] Specifically, the optimization model of the damper system includes:

[0101]

[0102] Among them, J is the optimization index of the damper system, which is used to describe the optimization of the damper system so that the vibration of the cable is controlled within the preset vibration threshold. T is the time range, which indicates the total duration of control optimization. λ is the adjustment factor of the optimization model of the damper system.

[0103] The serial numbers of the above embodiments of the present invention are only for description and do not represent the advantages or disadvantages of the embodiments.

[0104] In the above embodiments of the present invention, the description of each embodiment has its own emphasis. For parts that are not described in detail in a certain embodiment, reference can be made to the relevant descriptions of other embodiments.

[0105] In the several embodiments provided by the present invention, it should be understood that the disclosed technical content can be implemented in other ways. Among them, the system embodiments described above are only schematic. For example, the division of the units is only a logical function division. There may be other division methods in actual implementation. For example, multiple units or components can be combined or integrated into another system, or some features can be ignored or not executed. Another point is that the mutual coupling or direct coupling or communication connection shown or discussed can be through some interfaces, indirect coupling or communication connection of units or modules, which can be electrical or other forms.

[0106] The units described as separate components may or may not be physically separated, and the components shown as units may or may not be physical units, that is, they may be located in one place or distributed on multiple network units. Some or all of the units may be selected according to actual needs to achieve the purpose of the solution of this embodiment.

[0107] In addition, each functional unit in each embodiment of the present invention may be integrated into one processing unit, or each unit may exist physically separately, or two or more units may be integrated into one unit. The above-mentioned integrated unit may be implemented in the form of hardware or in the form of software functional units.

[0108] If the integrated unit is implemented in the form of a software functional unit and sold or used as an independent product, it can be stored in a computer-readable storage medium. Based on this understanding, the technical solution of the present invention, or the part that contributes to the prior art, or all or part of the technical solution can be embodied in the form of a software product, and the computer software product is stored in a storage medium, including a number of instructions for a computer device (which can be a personal computer, server or network device, etc.) to perform all or part of the steps of the method described in each embodiment of the present invention. The aforementioned storage medium includes: U disk, read-only storage medium (ROM, Read-Only Memory), random access storage medium (RAM, Random Access Memory), mobile hard disk, magnetic disk or optical disk and other media that can store program codes.

[0109] Obviously, the above embodiments are merely examples for the purpose of clear explanation, and are not intended to limit the implementation methods. For those skilled in the art, other different forms of changes or modifications can be made based on the above description. It is not necessary and impossible to list all the implementation methods here. The obvious changes or modifications derived therefrom are still within the scope of protection of the invention.

Claims

1. A three-damper control system for multi-order modal vibration of a cable, characterized in that: include: A mechanical damper disposed near the cable-beam anchorage end of the cable-stayed bridge, wherein the mechanical damper comprises a velocity damper and a tuned mass damper; The two velocity type dampers are arranged in an isosceles trapezoidal structure to form an "isosceles trapezoidal" type dual-velocity damper.

2. A three-damper control system for multi-order modal vibration of a cable as claimed in claim 1, characterized in that: One end of the "isosceles trapezoidal" dual-speed damper is connected to the cable by a clamp, and the other end is supported on the main beam top plate by a damper support column.

3. A three-damper control system for cable multi-order modal vibration as claimed in claim 2, characterized in that: The tuned mass damper is fixed to the cable by a clamp and arranged below the "isosceles trapezoidal" dual-speed damper.

4. A three-damper control system for cable multi-order modal vibration as claimed in claim 2, characterized in that: The "isosceles trapezoidal" dual-speed damper is located above the bridge deck.

5. A three-damper control system for cable multi-order modal vibration as claimed in claim 3, characterized in that: The tuned mass dampers are located above the bridge deck.

6. A method for monitoring vibration of a cable comprising a system as claimed in any one of claims 1 to 5, characterized in that: include: Acquiring cable data within a certain time range, wherein the cable data includes: equivalent mass of the cable, displacement of the cable, displacement velocity, and amplitude of wind excitation; Setting a nonlinear vibration model and simulating the vibration of the cable according to the cable data; An optimization model of the damper system is set, an optimization index of the damper system is calculated, and the position or quantity of the damper system is adjusted so that the optimization index of the damper system is close to a preset optimization threshold.

7. A cable vibration monitoring method as claimed in claim 6, characterized in that: The nonlinear vibration model includes: Where m is the equivalent mass of the cable, which is used to describe the inertial characteristics of the cable during vibration, x is the displacement of the cable, and t is the time. is a nonlinear damping function used to describe the relationship between displacement x and displacement velocity The associated damping force, ψ(x) is the nonlinear restoring force function, which is used to describe the restoring force generated by the cable due to the displacement x, γ is the first adjustment factor of the nonlinear vibration model, η is the second adjustment factor of the nonlinear vibration model, k1 is the third adjustment factor of the nonlinear vibration model, k2 is the fourth adjustment factor of the nonlinear vibration model, F0 is the amplitude of wind excitation, ω is the angular frequency of wind excitation, which is used to describe the rate of change of wind.

8. The cable vibration monitoring method according to claim 7, characterized in that: Nonlinear damping function include: Among them, φ0 is the initial damping coefficient, α is the first adjustment factor of the nonlinear damping function, φ1 is the second adjustment factor of the nonlinear damping function, φ2 is the third adjustment factor of the nonlinear damping function, p is the fourth adjustment factor of the nonlinear damping function, and q is the fifth adjustment factor of the nonlinear damping function.

9. The cable vibration monitoring method according to claim 8, characterized in that: The nonlinear restoring force function ψ(x) includes: Wherein, k0 is the initial stiffness coefficient, which is used to describe the change of the restoring force of the cable under small displacement conditions; k3 is the stiffness coefficient of the cable after it exceeds the critical displacement x0, which is used to describe the change of the restoring force of the cable under large displacement conditions; β is the first adjustment factor of the nonlinear restoring force function; β′ is the second adjustment factor of the nonlinear restoring force function; n is the third adjustment factor of the nonlinear restoring force function; and m′ is the fourth adjustment factor of the nonlinear restoring force function.

10. The cable vibration monitoring method according to claim 6, characterized in that: The optimization model of the damper system includes: Among them, J is the optimization index of the damper system, which is used to describe the optimization of the damper system so that the vibration of the cable is controlled within the preset vibration threshold. T is the time range, which indicates the total duration of control optimization. λ is the adjustment factor of the optimization model of the damper system.

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