Stay cable damper integrated design and parameter optimization method, device and equipment

Abstract

The invention relates to a stay cable damper integrated design and parameter optimization method, device and equipment. According to the scheme design, a lever connecting mechanism is combined; in-plane and out-plane motion decoupling and independent vibration reduction are carried out on the stay cable; most types of dampers are considered as energy consumption devices at present. The parameter optimization method comprises the steps that the installation position and the installation position ratio of the stay cable damper on the stay cable are determined; calculating in-plane and out-plane series flexibility reduction coefficients of the stay cable damper; and calculating the in-plane logarithmic attenuation rate and the out-plane logarithmic attenuation rate of the stay cable damper based on the in-plane and out-plane series flexibility reduction coefficient, the mounting position of the stay cable damper on the stay cable, the mounting position ratio and the vibration reduction design parameters of different types of stay cable dampers. According to the method, the scheme design of in-plane and out-plane independent vibration reduction of the stay cable can be carried out on most types of dampers. The in-plane logarithmic attenuation rate and the out-of-plane logarithmic attenuation rate can be calculated by combining the flexibility reduction coefficient, and the method can be quickly used for the design of the vibration reduction performance of the stay cable.

Description

Technical Field

[0001] The present application relates to the technical field of structural vibration control, and in particular to a method, device and equipment for integrated design and parameter optimization of a stay cable damper. Background Art

[0002] Due to their high flexibility, light weight, and low damping, stay cables are prone to significant vibration under conditions such as wind and rain excitation and vehicle loads, which can lead to fatigue damage and accelerated stress corrosion, severely reducing their service life. Currently, the most widely used vibration reduction measure for stay cables is the use of additional dampers. This involves installing external vibration dampers near the cable beam end anchorage to improve the cable's modal damping ratio.

[0003] Theoretical studies have shown that the maximum modal damping ratio that can be obtained by using conventional cable-stayed dampers for vibration reduction is half of the installation position ratio. However, in actual cable-stayed bridge projects, the installation height of the damper is limited due to aesthetic and maintenance issues. When the cable length increases, the installation position ratio will further decrease, and the modal damping ratio obtained by the conventional damper will become smaller, which cannot meet the minimum vibration reduction requirements of ultra-long cable-stayed cables. Therefore, in response to the vibration reduction needs of ultra-long cable-stayed cables, researchers began to try to add inertial units or mass effects to the vibration reduction damper to further improve the vibration reduction performance of the cable-stayed damper. In addition to conventional damping units and spring units, the damper itself also has mass units. However, there is no unified standard method for the optimization design of vibration reduction parameters.

[0004] Therefore, it is necessary to design a new integrated design and parameter optimization method for cable-stayed dampers to overcome the above problems. Summary of the Invention

[0005] The present application provides a method, device and equipment for the integrated design and parameter optimization of a cable-stayed damper, which can solve the technical problem that there is no unified standard method for the optimization design of vibration reduction parameters.

[0006] In a first aspect, an embodiment of the present application provides a method for integrated design and parameter optimization of a stay cable damper, characterized in that the stay cable damper includes a main lever connected to an in-plane vibration reduction and energy dissipation mechanism and an out-of-plane vibration reduction and energy dissipation mechanism; the method for integrated design and parameter optimization of the stay cable damper includes the following steps:

[0007] Determine the installation position and installation position ratio of the cable damper on the cable;

[0008] Calculation of the in-plane series flexibility reduction factor R of the cable damper f-i and the out-of-plane series flexibility reduction factor R f-o ;

[0009] Based on the in-plane series flexibility reduction factor R of the cable damper f-i and the out-of-plane series flexibility reduction factor R f-o The in-plane logarithmic decrement rate and out-of-plane logarithmic decrement rate of the cable-stayed damper are calculated based on the installation position of the cable-stayed damper on the cable, the installation position ratio and the vibration reduction design parameters of the cable-stayed damper.

[0010] In combination with the first aspect, in one embodiment, the in-plane vibration damping and energy dissipation mechanism includes an in-plane lever and an in-plane energy dissipation device, one end of the in-plane lever is hinged to the middle part of the main lever, and the other end is hinged to the in-plane energy dissipation device, and an in-plane fulcrum is provided on one side of the in-plane lever; the out-of-plane vibration damping and energy dissipation mechanism includes an out-of-plane lever and an out-of-plane energy dissipation device, one end of the out-of-plane lever is hinged to the end of the main lever through a chain bar, and the other end is hinged to the out-of-plane energy dissipation device, and an out-of-plane fulcrum is provided on one side of the out-of-plane lever.

[0011] In combination with the first aspect, in one embodiment, the in-plane energy dissipation device and the out-of-plane energy dissipation device are both provided with a mass unit, a damping unit and a stiffness unit connected in parallel.

[0012] In combination with the first aspect, in one embodiment, the vibration reduction design parameters of the cable damper include the equivalent damping coefficient, stiffness coefficient and inertia coefficient of the in-plane energy dissipation device, and the equivalent damping coefficient, stiffness coefficient and inertia coefficient of the out-of-plane energy dissipation device.

[0013] In combination with the first aspect, in one embodiment, before calculating the in-plane logarithmic decrement and the out-of-plane logarithmic decrement of the cable-stayed damper, the method further includes:

[0014] A dynamic loading test is performed on the cable-stayed damper to determine the equivalent damping coefficient, stiffness coefficient and inertia coefficient of the in-plane energy dissipation device, as well as the equivalent damping coefficient, stiffness coefficient and inertia coefficient of the out-of-plane energy dissipation device.

[0015] In combination with the first aspect, in one embodiment, the calculation of the in-plane series flexibility reduction coefficient R of the cable damper is f-i and the out-of-plane series flexibility reduction factor R f-o ,include:

[0016] Determine the in-plane support stiffness k of the cable damper s-i and the out-of-plane support stiffness k s-o ;

[0017] Based on the in-plane support stiffness k s-i and the out-of-plane support stiffness k s-o , the cable force T and the installation position of the cable damper on the cable to calculate the in-plane series flexibility reduction coefficient R of the cable damper f-iand the out-of-plane series flexibility reduction factor R f-o .

[0018] In conjunction with the first aspect, in one embodiment, the calculation formulas for the in-plane series flexibility reduction coefficient and the out-of-plane series flexibility reduction coefficient are:

[0019]

[0020] Among them, R f is the series flexibility reduction coefficient, %; k s is the damper support stiffness, N / m; when calculating the in-plane series flexibility reduction coefficient, R f R f-i , k s k s-i ; When calculating the out-of-plane series flexibility reduction factor, R f R f-o , k s k s-o ; f is the series flexibility coefficient of the connection system; a is the distance from the installation position of the cable damper on the cable to the nearest anchor end, m; T is the cable force, N.

[0021] In combination with the first aspect, in one embodiment, the calculation formula of the logarithmic decay rate of the cable damper is:

[0022]

[0023] Where, is the logarithmic decay rate of the cable damper; R f is the series flexibility reduction factor, %; a is the distance between the installation position of the cable damper on the cable and the nearest anchor end, m; T is the cable force, N; L is the length of the cable between the two anchor points of the cable, m; m is the mass of the cable per linear meter, kg / m; n is the nth order target mode of the cable; C e is the equivalent damping coefficient of the cable damper, N·s / m; m e is the inertia coefficient of the cable damper, kg; k e is the stiffness coefficient of the cable damper, N / m; when calculating the in-plane logarithmic decay rate, R f is the in-plane series flexibility reduction factor R f-i ;c e is the equivalent damping coefficient c of the in-plane energy dissipation device e-i ;m e is the inertia coefficient m of the in-plane energy dissipation device e-i ;k e is the stiffness coefficient k of the in-plane energy dissipation device e-i ; When calculating the out-of-plane logarithmic decay rate, R fis the out-of-plane series flexibility reduction factor R f-o ;c e is the equivalent damping coefficient c of the out-of-plane energy dissipation device e-o ;m e is the inertia coefficient m of the out-of-plane energy dissipation device e-o ;k e is the stiffness coefficient k of the out-of-plane energy dissipation device e-o .

[0024] In a second aspect, an embodiment of the present application provides a parameter optimization device for a stay cable damper, the parameter optimization device for a stay cable damper comprising:

[0025] a position determination module for determining an installation position and an installation position ratio of a stay cable damper on the stay cable; wherein the stay cable damper includes a main lever connected to an in-plane vibration reduction and energy dissipation mechanism and an out-of-plane vibration reduction and energy dissipation mechanism;

[0026] The first calculation module is used to calculate the in-plane series flexibility reduction coefficient R of the cable damper f-i and the out-of-plane series flexibility reduction factor R f-o ;

[0027] The second calculation module is used to calculate the in-plane series flexibility reduction coefficient R of the cable damper f-i and the out-of-plane series flexibility reduction factor R f-o The in-plane logarithmic decrement rate and out-of-plane logarithmic decrement rate of the cable-stayed damper are calculated based on the installation position of the cable-stayed damper on the cable, the installation position ratio and the vibration reduction design parameters of the cable-stayed damper.

[0028] In a third aspect, an embodiment of the present application provides a parameter optimization device for a cable-stayed damper, which comprises a processor, a memory, and a parameter optimization program for the cable-stayed damper stored in the memory and executable by the processor, wherein when the parameter optimization program for the cable-stayed damper is executed by the processor, the steps of the above-mentioned integrated design and parameter optimization method of the cable-stayed damper are implemented.

[0029] The beneficial effects of the technical solutions provided in the embodiments of the present application include:

[0030] By calculating the in-plane and out-of-plane series flexibility reduction coefficients of the cable-stayed damper, the in-plane logarithmic decrement rate and out-of-plane logarithmic decrement rate of the cable-stayed damper can be calculated based on the in-plane and out-of-plane series flexibility reduction coefficients of the cable-stayed damper, the installation position of the cable-stayed damper on the cable, the installation position ratio, and the vibration reduction design parameters of the cable-stayed damper. This can be quickly used in the vibration reduction design of the cable-stayed damper, and the impact of the reduction in vibration reduction performance caused by the stiffness reduction of the cable-stayed damper during vibration reduction is taken into account, solving the technical problem that there is no unified standard method for the optimization design of vibration reduction parameters. BRIEF DESCRIPTION OF THE DRAWINGS

[0031] In order to more clearly illustrate the technical solutions in the embodiments of the present application, the following briefly introduces the drawings required for use in the description of the embodiments. Obviously, the drawings described below are only some embodiments of the present application. For ordinary technicians in this field, other drawings can be obtained based on these drawings without any creative work.

[0032] Figure 1 A flow chart of an integrated design and parameter optimization method for a stay cable damper provided in an embodiment of the present application;

[0033] Figure 2 A flow chart of another method for integrated design and parameter optimization of a stay cable damper provided in an embodiment of the present application;

[0034] Figure 3 A simplified mechanical model of the cable-stayed damping and vibration reduction system provided in an embodiment of the present application;

[0035] Figure 4 A schematic diagram of the mechanical model of the cable-stayed damper provided in an embodiment of the present application;

[0036] Figure 5 A simplified diagram of the mechanical model of the in-plane energy dissipation device provided in an embodiment of the present application.

[0037] In the picture:

[0038] 100. Stay cable damper;

[0039] 1. Main lever;

[0040] 2. In-plane vibration reduction and energy dissipation mechanism; 21. In-plane lever; 22. In-plane energy dissipation device; 23. In-plane fulcrum;

[0041] 3. Out-of-plane vibration reduction and energy dissipation mechanism; 31. Out-of-plane lever; 32. Out-of-plane energy dissipation device; 33. Out-of-plane fulcrum; 34. Chain lever;

[0042] 4. Mass unit; 5. Damping unit; 6. Stiffness unit;

[0043] 200. Stay cable. DETAILED DESCRIPTION

[0044] In order to enable those skilled in the art to better understand the present invention, the following will clearly and completely describe the technical solutions in the embodiments of the present invention in conjunction with the accompanying drawings. 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 this application.

[0045] In related technologies, existing research has provided optimal theoretical formulas for optimizing the vibration reduction parameters of externally mounted dampers for cable-stayed structures. For example, for conventional viscous dampers that only consider damping units, different researchers have proposed theoretical formulas that can predict damping and vibration reduction performance. Through optimization, the optimal damping coefficient and its corresponding vibration reduction performance are obtained as follows:

[0046]

[0047] The above design formula fails to consider the inherent stiffness and mass elements of the cable-stayed external damper, nor does it account for the reduced stiffness and resulting reduction in vibration damping performance. In future ultra-long cable vibration reduction projects, the external damper model will contain stiffness and mass elements, and the stiffness of the connecting members will not be considered. The actual vibration damping performance of the cable-stayed external damper is unknown, posing difficulties and challenges to the engineering application of these cable-stayed external dampers.

[0048] The embodiments of the present application provide a method, device and equipment for the integrated design and parameter optimization of a cable-stayed damper, which can solve the technical problem that there is no unified standard method for the optimization design of vibration reduction parameters.

[0049] See also Figure 1 As shown, an embodiment of the present application provides an integrated design and parameter optimization method for a cable-stayed damper, wherein the cable-stayed damper 100 includes a main lever 1, to which an in-plane vibration-damping energy-dissipating mechanism 2 and an out-of-plane vibration-damping energy-dissipating mechanism 3 are connected. The integrated design and parameter optimization method for the cable-stayed damper includes the following steps:

[0050] S1: Determine the installation position and installation position ratio of the stayed cable damper 100 on the stayed cable 200.

[0051] S2: Calculate the series flexibility reduction factor R of the cable damper 100 in the plane f-i and the out-of-plane series flexibility reduction factor R f-o .

[0052] S3: Based on the in-plane series flexibility reduction factor R of the cable damper f-iand the out-of-plane series flexibility reduction factor R f-o The in-plane logarithmic decrement rate and the out-of-plane logarithmic decrement rate of the cable damper 100 are calculated based on the installation position of the cable damper 100 on the cable 200, the installation position ratio and the vibration reduction design parameters of the cable damper 100.

[0053] See also Figure 3 The figure shows a simplified mechanical model of a cable-stayed damping and vibration reduction system. In this embodiment, the cable damper 100 is installed outside the cable 200. The cable damper 100 includes a main lever 1, which extends in a direction perpendicular to the cable 200. An in-plane vibration-absorbing mechanism 2 is installed on one side of the main lever 1, and an out-of-plane vibration-absorbing mechanism 3 is installed on the other side. In step S1, the installation position of the cable damper 100 on the cable 200, that is, the distance a from the installation position of the cable damper 100 on the cable 200 to the nearest anchor end; the length of the cable between the two end anchor points of the cable 200 is L, and the installation position ratio of the cable damper 100 is a / L. In step S2, the in-plane series flexibility reduction coefficient R of the cable damper 100 needs to be calculated separately. f-i and the out-of-plane series flexibility reduction factor R f-o , in-plane series flexibility reduction factor R f-i The out-of-plane series flexibility reduction factor R f-o The calculation formula is the same, so R is used uniformly. f express.

[0054] In this embodiment, the installation position and installation position ratio of the cable-stayed damper 100 are first determined, and then the in-plane series flexibility reduction coefficient R is calculated. f-i and the out-of-plane series flexibility reduction factor R f-o , and then based on the in-plane series flexibility reduction coefficient R of the cable damper 100 f-i and the out-of-plane series flexibility reduction factor R f-o The in-plane logarithmic attenuation rate and the out-of-plane logarithmic attenuation rate of the cable-stayed damper 100 can be calculated based on the installation position of the cable-stayed damper 100 on the cable 200, the installation position ratio and the vibration reduction design parameters of the cable-stayed damper 100, which can be quickly used in the vibration reduction design of the cable-stayed damper 200. The effect of the reduction in vibration reduction performance caused by the reduction in stiffness of the cable-stayed damper 100 during vibration reduction is taken into account, and the technical problem that there is no unified standard method for the optimization design of vibration reduction parameters is solved.

[0055] Furthermore, in one embodiment, the in-plane vibration damping and energy dissipation mechanism 2 includes an in-plane lever 21 and an in-plane energy dissipation device 22, one end of the in-plane lever 21 is hinged to the middle of the main lever 1, and the other end is hinged to the in-plane energy dissipation device 22, and one side of the in-plane lever 21 is provided with an in-plane fulcrum 23; the out-of-plane vibration damping and energy dissipation mechanism 3 includes an out-of-plane lever 31 and an out-of-plane energy dissipation device 32, one end of the out-of-plane lever 31 is hinged to the end of the main lever 1 through a chain rod 34, and the other end is hinged to the out-of-plane energy dissipation device 32, and one side of the out-of-plane lever 31 is provided with an out-of-plane fulcrum 33. Figure 4 As shown, in this embodiment, the entire stayed cable damper 100 is provided with a main lever 1, an in-plane lever 21, and an out-of-plane lever 31, as well as an in-plane energy dissipation device 22 and an out-of-plane energy dissipation device 32. The in-plane lever 21 is supported on an in-plane fulcrum 23, and the out-of-plane lever 31 is supported on the out-of-plane lever 31. The in-plane lever 21 is perpendicular to the main lever 1, and the out-of-plane lever 31 is arranged parallel to the main lever 1. When the stayed cable 200 experiences in-plane vibration, the main lever 1 moves in the y-direction and drives the in-plane lever 21 to rotate about the in-plane fulcrum 23. The rotation of the in-plane lever 21 drives the in-plane energy dissipation device 22 to move relative to it. When the stayed cable 200 experiences out-of-plane vibration, the main lever 1 rotates about the connection point with the in-plane lever 21 and drives the out-of-plane lever 31 to rotate about the out-of-plane fulcrum 33 via a chain bar 34 connected to the other end of the main lever 1, driving the out-of-plane energy dissipation device 32 to move relative to it. Like the in-plane energy dissipation device 22, the out-of-plane energy dissipation device 32 is not constrained by the form of the medium and can dissipate energy during linear relative motion. The cable damper 100 in this embodiment decouples the in-plane and out-of-plane motions of the stay cable 200. Furthermore, the vibration damping parameters of the energy dissipation device can be further amplified through the main lever 1, the in-plane lever 21, and the out-of-plane lever 31, meeting the vibration damping performance requirements of ultra-long stay cables 200.

[0056] On the basis of the above technical solution, in one embodiment, the in-plane energy dissipation device 22 and the out-of-plane energy dissipation device 32 are both provided with a mass unit 4, a damping unit 5 and a stiffness unit 6 connected in parallel. Figure 5As shown, in this embodiment, both ends of the in-plane energy dissipation device 22 and the out-of-plane energy dissipation device 32 are fixed ends. For a single in-plane energy dissipation device 22 or out-of-plane energy dissipation device 32, a parallel mass unit 4, a damping unit 5 and a stiffness unit 6 are simultaneously provided between the fixed ends at both ends, forming an energy dissipation device model containing inertia, damping and stiffness, which can realize relative motion energy dissipation. The energy dissipation device model in this embodiment can almost cover all the damper mechanical models currently under research or application, and considers the influence of the stiffness of the lever system on the vibration reduction efficiency of the energy dissipation device. The cable-stayed damper of the present application combines a lever connection mechanism; decouples the in-plane and out-of-plane motions of the cable-stayed cable, and independently reduces vibration; and considers most types of dampers currently used (oil dampers, viscous shear dampers and inertial dampers, etc.) as energy dissipation devices.

[0057] Further, in one embodiment, see Figure 2 As shown, in step S3, the vibration reduction design parameters of the cable damper 100 include the equivalent damping coefficient c of the in-plane energy dissipation device 22. e-i , stiffness coefficient k e-i and inertia coefficient m e-i , and the equivalent damping coefficient c of the out-of-plane energy dissipation device 32 e-o , stiffness coefficient h e-o and inertia coefficient m e-o In step S3, based on the in-plane series flexibility reduction coefficient R of the cable damper 100, f-i , the installation position of the cable damper 100 on the cable 200, the installation position ratio and the equivalent damping coefficient c of the in-plane energy dissipation device 22 e-i , stiffness coefficient k e-i and inertia coefficient m e-i , the in-plane logarithmic attenuation rate of the cable-stayed damper 100 can be calculated; based on the out-of-plane series flexibility reduction coefficient R of the cable-stayed damper 100 f-o , the installation position of the cable damper 100 on the cable 200, the installation position ratio and the equivalent damping coefficient c of the out-of-plane energy dissipation device 32 e-o , stiffness coefficient k e-o and inertia coefficient m e-o , the out-of-plane logarithmic decrement rate of the cable-stayed damper 100 can be calculated.

[0058] See also Figure 4 As shown in FIG. 1 , in this embodiment, the three levers (main lever 1, in-plane lever 21, and out-of-plane lever 31) of the cable-stayed damper 100 function to transmit and amplify displacement and force. When the cable 200 vibrates in-plane, the main lever 1 transmits the in-plane vibration to the in-plane lever 21, which then transmits and amplifies the vibration to the in-plane energy dissipation device 22. The vibration response amplification coefficient is the coefficient n of the in-plane lever 21.i When the cable 200 vibrates out of plane, the main lever 1 amplifies the vibration and transmits it to the out-of-plane lever 31. The out-of-plane lever 31 amplifies the vibration again and transmits it to the out-of-plane energy dissipation device 32. From the out-of-plane vibration of the cable 200 to the out-of-plane energy dissipation device 32, the vibration response amplification coefficient is the main lever 1 coefficient n m ×Out-of-plane leverage 31 coefficient n o In this embodiment, the main lever 1 coefficient n m Less than 1, the triple leverage coefficient can be expressed as:

[0059] n m =L m-2 / L m-1 (1a)

[0060] n i =L i-2 / L i-1 (1b)

[0061] n o =L o-2 / L o-1 (1c)

[0062] In the above formula, L m-1 L is the distance between one end of the main lever 1 and the connection point between the main lever 1 and the in-plane lever 21; m-2 L is the distance between the other end of the main lever 1 and the connection point between the main lever 1 and the in-plane lever 21; i-1 L is the distance between the in-plane fulcrum 23 and the connection point between the main lever 1 and the in-plane lever 21; i-2 Lx is the distance between the in-plane fulcrum 23 and the connection point between the in-plane lever 21 and the in-plane energy dissipation device 22; -1 L is the distance between one end of the chain bar 34 and the out-of-plane fulcrum 33; o-2 It is the distance between the out-of-plane fulcrum 33 and the connection point between the out-of-plane lever 31 and the out-of-plane energy dissipation device 32.

[0063] When the lever is in working state, without considering the lever stiffness reduction factor, after the transmission and amplification by the lever, the vibration direction responses of the in-plane energy dissipation device 22 and the out-of-plane energy dissipation device 32 are n i y and n m n o x, where x and y represent the in-plane and out-of-plane vibration responses of the cable 200, respectively. Vibration theory analysis shows that the above-mentioned cable damper 100 can achieve decoupling of in-plane and out-of-plane motions. Taking the in-plane vibration of the cable 200 as an example, the vibration damping force f generated by the in-plane energy dissipation device 22 is d-i The vibration reduction reaction force F in the plane of the cable 200 d-i The relationship can be expressed as:

[0064] F d-i =n i f d-i (2)

[0065] The relationship between the vibration damping force generated by the in-plane energy dissipation device 22 and the vibration response can be expressed as:

[0066]

[0067] Where m i 、k i and c i are the parameters of mass unit 4, stiffness unit 6 and damping unit 5 of the in-plane energy dissipation device 22. Substituting equation (3) into equation (2), the in-plane vibration damping reaction force of the inclined cable 200 can be re-expressed as:

[0068]

[0069] 200° out-of-plane vibration damping reaction force F of the inclined cable d-o It can be expressed accordingly as:

[0070]

[0071] Where m o 、k o and c o They are the parameters of the mass unit 4, stiffness unit 6 and damping unit 5 of the out-of-plane energy dissipation device 32 respectively.

[0072] Then the inertia coefficient m of the in-plane energy dissipation device 22 is e-i , equivalent damping coefficient c e-i and stiffness coefficient k e-i They are:

[0073] The inertia coefficient m of the out-of-plane energy dissipation device 32 e-o , equivalent damping coefficient c e-o and stiffness coefficient k e-o They are:

[0074] Furthermore, in some optional embodiments, before calculating the in-plane logarithmic decrement and out-of-plane logarithmic decrement of the cable-stayed damper 100, the method may further include: performing a dynamic loading test on the cable-stayed damper 100 to determine the equivalent damping coefficient, stiffness coefficient, and inertia coefficient of the in-plane energy dissipation device 22, as well as the equivalent damping coefficient, stiffness coefficient, and inertia coefficient of the out-of-plane energy dissipation device 32. In this embodiment, samples may be selected to conduct experimental verification of these coefficients of the in-plane energy dissipation device 22 and the out-of-plane energy dissipation device 32, thereby determining more accurate equivalent damping coefficients, stiffness coefficients, and inertia coefficients. Among the ultimately determined equivalent damping coefficients, stiffness coefficients, and inertia coefficients, one or two coefficients may be zero.

[0075] Furthermore, in one embodiment, the calculation of the in-plane and out-of-plane series flexibility reduction coefficients R of the cable damper 100 is as follows: f , which may include:

[0076] S21: Determine the in-plane support stiffness k of the cable-stayed damper 100 s-i and the out-of-plane support stiffness k s-o .

[0077] S22: Based on the in-plane support stiffness k s-i and the out-of-plane support stiffness k s-o , the cable force T of the cable 200 and the installation position of the cable damper 100 on the cable 200 to calculate the in-plane series flexibility reduction coefficient R of the cable damper 100 f-i and the out-of-plane series flexibility reduction factor R f-o .

[0078] In this embodiment, when calculating the in-plane series flexibility reduction coefficient R of the cable damper 100, f-i and the out-of-plane series flexibility reduction factor R f-o When the in-plane support stiffness k of the cable damper 100 is checked and determined first, s-i and the out-of-plane support stiffness k s-o , using the in-plane support stiffness k s-i , the cable force T of the cable 200 and the installation position of the cable damper 100 on the cable 200 to calculate the in-plane series flexibility reduction coefficient R of the cable damper 100 f-i ; Use out-of-plane support stiffness k s-o , the cable force T of the cable 200 and the installation position of the cable damper 100 on the cable 200 to calculate the out-of-plane series flexibility reduction coefficient R of the cable damper 100 f-o .

[0079] Specifically, the calculation formulas for the in-plane series flexibility reduction coefficient and the out-of-plane series flexibility reduction coefficient are:

[0080]

[0081] Among them, R f is the series flexibility reduction coefficient, %; k s is the damper support stiffness, N / m; when calculating the in-plane series flexibility reduction coefficient, R f R f-i , k s k s-i ; When calculating the out-of-plane series flexibility reduction factor, R f R f-o , k s k s-o ; f is the series flexibility coefficient of the connection system; a is the distance from the installation position of the cable damper on the cable to the nearest anchor end, m; T is the cable force, N.

[0082] In this embodiment, the out-of-plane series compliance reduction factor R f-o The calculation formula of the in-plane series flexibility reduction factor R f-i The calculation formula is consistent with that of s Just replace it with the corresponding support stiffness.

[0083] Preferably, the calculation formula of the logarithmic decay rate of the cable damper 100 is:

[0084]

[0085] Where, is the logarithmic decay rate of the cable damper; R f is the series flexibility reduction factor, %; a is the distance between the installation position of the cable damper on the cable and the nearest anchor end, m; T is the cable force, N; L is the length of the cable between the two anchor points of the cable, m; m is the mass of the cable per linear meter, kg / m; n is the nth order target mode of the cable; c e is the equivalent damping coefficient of the cable damper, N·s / m; m e is the inertia coefficient of the cable damper, kg; k e is the stiffness coefficient of the cable damper, N / m; when calculating the in-plane logarithmic decay rate, R f is the in-plane series flexibility reduction factor R f-i ;c e is the equivalent damping coefficient c of the in-plane energy dissipation device 22 e-i ;m e is the inertia coefficient m of the in-plane energy dissipation device 22 e-i ;k e is the stiffness coefficient k of the in-plane energy dissipation device 22 e-i ; When calculating the out-of-plane logarithmic decay rate, R fis the out-of-plane series flexibility reduction factor R f-o ;c e is the equivalent damping coefficient c of the out-of-plane energy dissipation device 32 e-o ;m e is the inertia coefficient m of the out-of-plane energy dissipation device 32 e-o ;k e is the stiffness coefficient k of the out-of-plane energy dissipation device 32 e-o .

[0086] In this embodiment, the calculation formula of the out-of-plane logarithmic decrement rate is consistent with the calculation formula of the in-plane logarithmic decrement rate.

[0087] In the above embodiment, when calculating the in-plane logarithmic decrement and the out-of-plane logarithmic decrement, the influence of the series stiffness of the connection system on the damping effect (logarithmic decrement) is taken into account, that is, by multiplying the in-plane or out-of-plane series flexibility reduction factor R f The logarithmic decay rate is corrected. The above logarithmic decay rate design formula can conveniently and directly give the vibration reduction performance of the cable damping vibration reduction system under different parameters, and can be quickly used in the vibration reduction design of the cable 200.

[0088] In a second aspect, an embodiment of the present application further provides a parameter optimization device for a stay cable damper. The parameter optimization device for the stay cable damper comprises: a position determination module for determining the installation position and installation position ratio of the stay cable damper 100 on the stay cable 200; wherein the stay cable damper 100 comprises a main lever 1, which is connected to an in-plane vibration reduction and energy dissipation mechanism 2 and an out-of-plane vibration reduction and energy dissipation mechanism 3; a first calculation module for calculating the in-plane series flexibility reduction coefficient R of the stay cable damper 100. f-i and the out-of-plane series flexibility reduction factor R f-o The second calculation module is used to calculate the in-plane series flexibility reduction coefficient R of the cable damper 100 f-i and the out-of-plane series flexibility reduction factor R f-o The in-plane logarithmic decrement rate and the out-of-plane logarithmic decrement rate of the cable damper 100 are calculated based on the installation position of the cable damper 100 on the cable 200, the installation position ratio and the vibration reduction design parameters of the cable damper 100.

[0089] Among them, the functional implementation of each module in the above-mentioned parameter optimization device of the inclined cable damper corresponds to the various steps in the above-mentioned embodiment of the integrated design and parameter optimization method of the inclined cable damper, and its functions and implementation processes will not be repeated here one by one.

[0090] In a third aspect, an embodiment of the present application provides a parameter optimization device for a cable-stayed damper. The parameter optimization device for the cable-stayed damper may be a personal computer (PC), a laptop computer, a server, or other device with data processing capabilities.

[0091] In the embodiment of the present application, a parameter optimization device for a stayed cable damper may include a processor, a memory, a communication interface, and a communication bus.

[0092] The communication bus may be of any type and is used to interconnect the processor, memory, and communication interface.

[0093] Communication interfaces include input / output (I / O) interfaces, physical interfaces, and logical interfaces, used to interconnect components within the cable-stayed damper parameter optimization device, as well as interfaces used to interconnect the cable-stayed damper parameter optimization device with other devices (such as other computing devices or user devices). Physical interfaces can be Ethernet, fiber, or ATM interfaces; user devices can be displays or keyboards.

[0094] The memory can be various types of storage media, such as random access memory (RAM), read-only memory (ROM), non-volatile RAM (NVRAM), flash memory, optical storage, hard disk, programmable ROM (PROM), erasable PROM (EPROM), electrically erasable PROM (EEPROM), etc.

[0095] The processor may be a general-purpose processor that can call a parameter optimization program for a stay-cable damper stored in a memory and execute the integrated design and parameter optimization method for a stay-cable damper provided in the embodiments of the present application. For example, the general-purpose processor may be a central processing unit (CPU). The method executed when the parameter optimization program for a stay-cable damper is called can be referenced to the various embodiments of the integrated design and parameter optimization method for a stay-cable damper provided in the present application and will not be further described here.

[0096] In the description of this application, it should be noted that the terms "upper" and "lower" and the like indicate orientations or positional relationships based on the orientations or positional relationships shown in the accompanying drawings, and are only for the convenience of describing this application and simplifying the description, and do not indicate or imply that the device or element referred to must have a specific orientation, be constructed and operated in a specific orientation, and therefore cannot be understood as a limitation on this application. Unless otherwise clearly specified and limited, the terms "installed", "connected", and "connected" should be understood in a broad sense, for example, it can be a fixed connection, a detachable connection, or an integral connection; it can be a mechanical connection or an electrical connection; it can be a direct connection, or an indirect connection through an intermediate medium, or it can be internal communication between two elements. For those of ordinary skill in the art, the specific meanings of the above terms in this application can be understood according to the specific circumstances.

[0097] It should be noted that, in this application, relational terms such as "first" and "second" are used only to distinguish one entity or operation from another entity or operation, and do not necessarily require or imply any 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 comprising 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, an element defined by the sentence "comprising a ..." does not exclude the presence of other identical elements in the process, method, article or device comprising the element.

[0098] The foregoing is merely a list of specific embodiments of the present application, intended to enable those skilled in the art to understand or implement the present application. Various modifications to these embodiments will be readily apparent to those skilled in the art, and the general principles defined herein may be implemented in other embodiments without departing from the spirit or scope of the present application. Therefore, the present application is not limited to the embodiments shown herein, but is intended to conform to the broadest scope consistent with the principles and novel features of the present application.

Claims

1. A method for integrated design and parameter optimization of a stay cable damper, characterized in that: The cable-stayed damper comprises a main lever (1), wherein the main lever (1) is connected to an in-plane vibration-damping energy-dissipating mechanism (2) and an out-of-plane vibration-damping energy-dissipating mechanism (3); the integrated design and parameter optimization method of the cable-stayed damper comprises the following steps: Determine the installation position and installation position ratio of the cable damper on the cable; Calculation of the in-plane series flexibility reduction factor R of the cable damper f-i and the out-of-plane series flexibility reduction factor R f-o ; Based on the in-plane series flexibility reduction factor R of the cable damper f-i and the out-of-plane series flexibility reduction factor R f-o The in-plane logarithmic decrement rate and out-of-plane logarithmic decrement rate of the cable-stayed damper are calculated based on the installation position of the cable-stayed damper on the cable, the installation position ratio and the vibration reduction design parameters of the cable-stayed damper.

2. The integrated design and parameter optimization method for a stay cable damper according to claim 1, characterized in that: The in-plane vibration damping and energy dissipation mechanism (2) comprises an in-plane lever (21) and an in-plane energy dissipation device (22), one end of the in-plane lever (21) is hinged to the middle of the main lever (1), and the other end is hinged to the in-plane energy dissipation device (22), and one side of the in-plane lever (21) is provided with an in-plane fulcrum (23); The out-of-plane vibration damping and energy dissipation mechanism (3) comprises an out-of-plane lever (31) and an out-of-plane energy dissipation device (32); one end of the out-of-plane lever (31) is hinged to the end of the main lever (1) through a chain bar (34), and the other end is hinged to the out-of-plane energy dissipation device (32); an out-of-plane fulcrum (33) is provided on one side of the out-of-plane lever (31).

3. The integrated design and parameter optimization method for a stay cable damper according to claim 2, characterized in that: The in-plane energy dissipation device (22) and the out-of-plane energy dissipation device (32) are both provided with a mass unit (4), a damping unit (5) and a stiffness unit (6) connected in parallel.

4. The integrated design and parameter optimization method for a stay cable damper according to claim 3, characterized in that: The vibration reduction design parameters of the cable-stayed damper include the equivalent damping coefficient, stiffness coefficient and inertia coefficient of the in-plane energy dissipation device (22), and the equivalent damping coefficient, stiffness coefficient and inertia coefficient of the out-of-plane energy dissipation device (32).

5. The integrated design and parameter optimization method for a stay cable damper according to claim 4, characterized in that: Before calculating the in-plane logarithmic decrement and out-of-plane logarithmic decrement of the cable-stayed damper, the following are also included: A dynamic loading test is performed on the stayed cable damper to determine the equivalent damping coefficient, stiffness coefficient and inertia coefficient of the in-plane energy dissipation device (22), and the equivalent damping coefficient, stiffness coefficient and inertia coefficient of the out-of-plane energy dissipation device (32).

6. The integrated design and parameter optimization method for a stay cable damper according to claim 1, characterized in that: The calculation of the in-plane series flexibility reduction factor R of the cable damper is as follows: f-i and the out-of-plane series flexibility reduction factor R f-o ,include: Determine the in-plane support stiffness k of the cable damper s-i and the out-of-plane support stiffness k s-o ; Based on the in-plane support stiffness k s-i and the out-of-plane support stiffness k s-o , the cable force T and the installation position of the cable damper on the cable to calculate the in-plane series flexibility reduction coefficient R of the cable damper f-i and the out-of-plane series flexibility reduction factor R f-o .

7. The integrated design and parameter optimization method for a stay cable damper according to claim 6, characterized in that: The calculation formulas for the in-plane series flexibility reduction coefficient and the out-of-plane series flexibility reduction coefficient are: Among them, R f is the series flexibility reduction coefficient, %; k s is the damper support stiffness, N / m; when calculating the in-plane series flexibility reduction coefficient, R f R f-i , k s k s-i ; When calculating the out-of-plane series flexibility reduction factor, R f R f-o , k s k s-o ; f is the series flexibility coefficient of the connection system; a is the distance from the installation position of the cable damper on the cable to the nearest anchor end, m; T is the cable force, N.

8. The integrated design and parameter optimization method for a stay cable damper according to claim 4, characterized in that: The calculation formula of the logarithmic decrement rate of the cable damper is: Where, is the logarithmic decay rate of the cable damper; R f is the series flexibility reduction factor, %; a is the distance between the installation position of the cable damper on the cable and the nearest anchor end, m; t is the cable force, N; L is the length of the cable between the two anchor points of the cable, m; m is the mass of the cable per linear meter, kg / m; n is the nth order target mode of the cable; c e is the equivalent damping coefficient of the cable damper, N·s / m; m e is the inertia coefficient of the cable damper, kg; k e is the stiffness coefficient of the cable damper, N / m; when calculating the in-plane logarithmic decay rate, R f is the in-plane series flexibility reduction factor R f-i ;c e is the equivalent damping coefficient c of the in-plane energy dissipation device (22) e-i ;m e is the inertia coefficient m of the in-plane energy dissipation device (22) e-i ;k e is the stiffness coefficient k of the in-plane energy dissipation device (22) e-i ; When calculating the out-of-plane logarithmic decay rate, R f is the out-of-plane series flexibility reduction factor R f-o ;c e is the equivalent damping coefficient c of the out-of-plane energy dissipation device (32) e-o ;m e is the inertia coefficient m of the out-of-plane energy dissipation device (32) e-o ;k e is the stiffness coefficient k of the out-of-plane energy dissipation device (32) e-o .

9. A parameter optimization device for a stayed cable damper, characterized in that: The parameter optimization device of the stayed cable damper comprises: A position determination module is used to determine the installation position and installation position ratio of a stay cable damper on a stay cable; wherein the stay cable damper comprises a main lever (1), and the main lever (1) is connected to an in-plane vibration reduction and energy dissipation mechanism (2) and an out-of-plane vibration reduction and energy dissipation mechanism (3); The first calculation module is used to calculate the in-plane series flexibility reduction coefficient R of the cable damper f-i and the out-of-plane series flexibility reduction factor R f-o ; The second calculation module is used to calculate the in-plane series flexibility reduction factor R of the cable damper based on the in-plane series flexibility reduction factor R of the cable damper. f-i and the out-of-plane series flexibility reduction factor R f-o The in-plane logarithmic decrement rate and out-of-plane logarithmic decrement rate of the cable-stayed damper are calculated based on the installation position of the cable-stayed damper on the cable, the installation position ratio and the vibration reduction design parameters of the cable-stayed damper.

10. A parameter optimization device for a stayed cable damper, characterized in that: The parameter optimization device of the cable-stayed damper includes a processor, a memory, and a parameter optimization program for the cable-stayed damper stored in the memory and executable by the processor. When the parameter optimization program for the cable-stayed damper is executed by the processor, the steps of the integrated design and parameter optimization method of the cable-stayed damper according to any one of claims 1 to 8 are implemented.

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