Vibration control device and vibration control method of slender structure

Abstract

The present invention provides a vibration control device and method for a slender structure. The device includes a fixing assembly, a damping assembly, a cantilever rod, and two mass blocks. The two ends of the cantilever rod are connected to a mass block, and the damping assembly is arranged inside the cantilever rod and / or the mass block. The dual-cantilever vibration isolation structure is installed below the slender structure through the fixing assembly. The method includes determining the modal frequency of the slender structure. 、 Modal Damping 、 The device's configuration parameters are determined based on the data of the slender structure, including the modal mass and control modal order. The dual-cantilever vibration isolation structure's configuration is determined based on the mass of the mass block, the stiffness and length of the cantilever rod, and the damping ratio of the dual-cantilever vibration isolation structure. The maximum displacement point of the slender structure's modal shape is determined based on the control modal order and the length of the slender structure. This maximum displacement point is then determined as the installation location of the dual-cantilever vibration isolation structure on the slender structure. This invention offers advantages such as excellent vibration reduction and a simple structure.

Description

Technical Field

[0001] The present invention relates to the field of vibration reduction control, and in particular to a vibration control device and a vibration control method of a slender structure. Background Art

[0002] Common slender structures mainly include: (1) cable structures, such as the cable-stayed slender structure of a cable-stayed bridge, the suspended slender structure of a suspended slender structure bridge, etc.; (2) functional slender tubular structures, such as masts, chimneys, lightning rods, gas pipelines, etc.; (3) rigid rods of towers, such as the diagonal rods and cross rods of transmission towers. Slender structures are usually key load-bearing components or key stability components of the main structure. However, slender structures usually have the characteristics of large slenderness ratio, light weight, low stiffness and low damping, and are very easy to vibrate under the influence of wind, rain, anchor end movement, internal (external) excitation, etc. The harm of slender structure vibration is multifaceted. At the least, it disrupts the normal function of the main structure during its service life; at the worst, it causes fatigue damage to the anchor parts and induces safety problems of the main structure. For example, the large vibration of the slender structure of a long-span bridge will cause visual panic to the drivers of vehicles on the bridge, threatening the safety of driving on the bridge; for example, the vibration of the rigid rods of a transmission tower will threaten the safety of the tower main structure and the normal operation of the transmission line network.

[0003] Common vibrations of slender structures include wind-rain vibration, vortex-induced resonance, galloping, parametric vibration, buffeting, and forced vibration. Because slender structures are typically highly flexible and have low damping, they often experience large vibrations when they occur. For slender structures such as cables, in rainy weather accompanied by moderate winds, the cable surface covers the stable upper waterline, altering the cable's aerodynamic shape and inducing large wind-rain vibrations with amplitudes reaching 2 to 5 times the cable diameter. Furthermore, under specific wind speeds, fluid passing through the slender structure's cross-section will experience stable vortex shedding. When the vortex shedding frequency approaches a certain natural frequency of the slender structure, the structure experiences vortex vibration, a type of forced vibration with self-excited characteristics. Furthermore, in many cases, the vibration of slender structures involves coupling between in-plane and out-of-plane vibrations. Therefore, the conditions for vibration in slender structures are simple, the duration is long, and it threatens the safety of the slender structure itself and the main structure. Therefore, vibration control is essential for slender structures that have load-bearing and stability-maintaining functions.

[0004] To address these issues, existing vibration control methods for slender structures involve installing a direct damper system at the slender structure's anchorage end close to the main structure to improve the structure's target modal damping ratio and reduce the slender structure's wind-induced vibration response. However, this approach presents the following challenges:

[0005] (1) Low effective vibration reduction efficiency. The vibration reduction effect of the direct damper system is affected by the stiffness of the support column and the precision and strength of the connector. This effect is expressed by the system mechanical efficiency coefficient, which generally reduces the efficiency of the direct damper system by half or more, and is difficult to avoid. At the same time, when it is necessary to control broadband modal vibration, it is usually necessary to install more than two direct damper systems on the slender structure, which is costly, complex to construct, and inefficient.

[0006] (2) The direct damper system has high requirements for support stiffness, which makes the support connection components in the system complex, difficult to construct, with poor durability and high cost. Specifically: (a) When installing the support components of the direct damper system, welding and flame cutting equipment and fuel, such as acetylene tanks and oxygen tanks, are usually required. The construction is complicated and dangerous. (b) The grounded damper system requires a complex hinge structure between the damping component and the support component. It has poor durability, is difficult to maintain, and is expensive. (c) The direct damper system requires many parameters to be designed, and the parameter design is complex, resulting in low efficiency. Summary of the Invention

[0007] The technical problem to be solved by the present invention is to overcome the deficiencies of the prior art and provide a vibration control device and a vibration control method with an excellent vibration reduction effect and a simple and slender structure.

[0008] In order to solve the above technical problems, the technical solution proposed by the present invention is:

[0009] A vibration control device for a slender structure comprises a fixing assembly, a damping assembly, a cantilever rod for adjusting the vibration frequency by stiffness, and two mass blocks for adjusting the vibration frequency by mass, wherein the two ends of the cantilever rod are respectively connected to one of the mass blocks to form a double-cantilever vibration isolation structure; the damping assembly is arranged inside the cantilever rod and / or the mass block; the double-cantilever vibration isolation structure is mounted on the slender structure via the fixing assembly, and the fixing assembly is connected between the cantilever rod and the slender structure.

[0010] As a further improvement of the above technical solution:

[0011] When the required damping ratio of the double cantilever vibration isolation structure is g 0 is less than the first preset value, the damping component is arranged in the cantilever rod; when the required damping ratio of the double cantilever anti-vibration structure is g 0 is greater than the second preset value, the damping component is arranged in the mass block; when the required damping ratio of the double cantilever anti-vibration structure is g When 0 is greater than the third preset value, the damping assembly is arranged inside the mass block and the cantilever rod at the same time; the first preset value, the second preset value and the third preset value satisfy: the first preset value < the second preset value < the third preset value.

[0012] When the damping assembly is arranged in the cantilever rod, the damping assembly includes a strip-shaped elastic damping member, the cantilever rod includes a strip-shaped rigidity member, the strip-shaped elastic damping member and the strip-shaped rigidity member are alternately arranged in an array to form a composite cantilever rod having both rigidity and damping energy dissipation functions; the mass block is a solid mass block.

[0013] When the damping assembly is arranged in the mass block, the damping assembly includes an eddy current damper or a viscous shear damper, the mass block is a mass support frame with a mounting cavity, the eddy current damper or the viscous shear damper is mounted in the mounting cavity, and the cantilever rod is a stiffness cantilever rod;

[0014] The eddy current damper or viscous shear damper includes a damping mass block, a spring assembly and a damping unit, and the damping mass block is mounted on the bottom plate of the mass support frame through the spring assembly; the damping unit of the eddy current damper includes an energy-dissipating magnetic steel and a conductor plate arranged oppositely, and the energy-dissipating magnetic steel and the conductor plate are arranged on the horizontal side or the upper and lower sides of the damping mass block; the damping unit of the viscous shear damper is an oil damping component, and the oil damping component is symmetrically arranged on the horizontal side of the damping mass block.

[0015] When it is necessary to simultaneously control the in-plane vibration and out-of-plane vibration of the slender structure, the cantilever rod is arranged parallel to the slender structure; when it is necessary to control only the in-plane vibration of the slender structure or the in-plane vibration is mainly controlled, the cantilever rod is arranged perpendicular to the slender structure.

[0016] When the mass of a single mass block of the dual-cantilever vibration isolation structure is greater than a preset mass value or the installation space of the dual-cantilever vibration isolation structure is limited, the dual-cantilever vibration isolation structure is provided in at least two groups, and the two or more groups of dual-cantilever vibration isolation structures are arranged along the circumference and / or axial direction of the slender structure and are connected to the same position of the slender structure through a fixing assembly.

[0017] A vibration control method for the vibration control device of the slender structure as described above comprises:

[0018] Obtain vibration response data of the slender structure, perform modal analysis on the vibration response data, and determine the modal frequency of the slender structure f n , modal damping g n , modal mass m n and the control mode order n ;

[0019] Determine the configuration parameters of the double cantilever vibration isolation structure: Based on the modal mass of the slender structure mn Determine the mass of the proof mass m 0 : According to the mass of the mass block m 0 and the frequency of the double cantilever vibration isolation structure f 0 Determine the stiffness of the cantilever rod k 0 , the frequency of the double cantilever vibration isolation structure f 0 According to the modal damping of the slender structure g n and the modal frequencies of slender structures f n Determine; According to the stiffness of the cantilever k 0 and the section moment of inertia in the cantilever rod vibration direction Determine the length of the cantilever rod l ; According to the modal damping of the slender structure g n Determine the damping ratio of the double cantilever vibration isolation structure g 0;

[0020] According to the control modal order n and the length of the slender structure L Determine the maximum displacement point of the modal vibration shape of the slender structure l 0 , the maximum displacement point of the modal vibration shape of the slender structure l 0 Determining an installation position of the double-cantilever vibration isolation structure on the slender structure;

[0021] The slender structure is configured according to the determined configuration parameters and installation position of the double-cantilever vibration isolation structure, and vibration control is achieved by the configured slender structure.

[0022] As a further improvement of the above technical solution:

[0023] According to the modal mass of the slender structure m n Determine the mass of the proof mass m 0 , including: determining the mass of the mass block according to the following expression m 0 : m 0 = m × m n ,in, m 0.2%≤ m Preset coefficient within the range of ≤5%;

[0024] According to the mass of the mass block m 0 and the frequency of the double cantilever vibration isolation structure f 0 Determine the stiffness of the cantilever rod k 0 , including: according to the preset coefficient m , the modal damping of the slender structure g n Get the optimal frequency ratio for slender structures , according to the optimal frequency ratio of the slender structure and the modal frequencies of the slender structure f n Get the frequency of the double cantilever vibration isolation structure f 0 , according to the frequency of the double cantilever vibration isolation structure f 0 and the mass of the mass block m 0 Get the stiffness of the cantilever k 0 , the calculation expression is:

[0025] .

[0026] According to the stiffness of the cantilever k 0 and the section moment of inertia in the cantilever rod vibration direction Determine the length of the cantilever rod l , including: calculating the length of the cantilever rod according to the following expression l：

[0027] ,

[0028] in, E is the elastic modulus of the cantilever.

[0029] According to the modal damping of the slender structure g n Calculate the damping ratio of the double cantilever vibration isolation structure g 0, including: calculating the damping ratio of the double cantilever anti-vibration structure according to the following expression g 0:

[0030] ,

[0031] in, m 0.2%≤ m Preset coefficient within the range of ≤5%.

[0032] The vibration control method further comprises: g 0 determines the setting position of the damping unit, wherein, when the damping ratio of the double cantilever vibration isolation structure is g 0 is less than the first preset value, the damping component is configured as a strip elastic damping member, and the strip elastic damping member is arranged in the cantilever rod; when the damping ratio of the double cantilever anti-vibration structure is g 0 is greater than the second preset value, the damping component is set to an eddy current damper or a viscous shear damper, and the eddy current damper or the viscous shear damper is arranged in the mass block; when the damping ratio of the double cantilever vibration isolation structure ... g When 0 is greater than the third preset value, the damping assembly is arranged inside the mass block and the cantilever rod at the same time; the first preset value, the second preset value and the third preset value satisfy: the first preset value < the second preset value < the third preset value.

[0033] Compared with the prior art, the advantages of the present invention are:

[0034] (1) The vibration control device of the present invention includes a double cantilever vibration isolation structure consisting of a cantilever rod and two mass blocks. The double cantilever vibration isolation structure is installed below the slender structure through a fixing assembly, and the damping assembly is arranged inside the cantilever rod and / or the mass block. The cantilever rod provides rigidity for the double cantilever vibration isolation structure, and the bending rigidity of the cantilever rod provides rotational rigidity for the mass block. When the damping requirement of the slender structure is small, the damping assembly can be arranged inside the cantilever rod to provide damping for the slender structure. The two mass blocks provide mass for the double cantilever vibration isolation structure to absorb transferred energy and suppress vibration of the slender structure. When the damping requirement of the slender structure is large, the damping assembly can be arranged inside the mass block to provide sufficient space to fix different types of damping assemblies. When the slender structure vibrates, the mass block and the damping assembly will produce relative displacement, thereby achieving a better damping effect for the slender structure.

[0035] (2) The present invention adopts a non-grounded double-cantilever vibration isolation structure and utilizes the tuned mass damping principle to provide an additional modal damping ratio for the slender structure. At the same time, the double-cantilever vibration isolation structure can achieve effective control of in-plane and out-of-plane vibrations by adjusting the installation angle with the slender structure, thereby directly and effectively controlling the wind-induced vibrations of the slender structure in different directions, avoiding the problem of low vibration reduction efficiency of the direct damper system due to the influence of the grounded structure. It greatly improves the vibration reduction efficiency of the slender structure, ensures the safety and stability of the main structure during vibration, and is easy to operate and highly reliable.

[0036] (3) The double-cantilever anti-vibration structure of the present invention is directly installed on the slender structure through a fixing assembly, eliminating the complex ground support structure of the direct damper. The double-cantilever anti-vibration structure of the present invention is simple, occupies a small space, and is low in cost. It greatly reduces the structural complexity and installation difficulty of the vibration control device, improves the durability of the device, and solves the disadvantages of the direct damping system from the root.

[0037] (4) The present invention can adjust the stiffness of the cantilever rod by adjusting the length and diameter of the cantilever rod, thereby adjusting the vibration frequency of the double-cantilever vibration isolation structure from the perspective of stiffness; at the same time, the vibration frequency of the double-cantilever vibration isolation structure can be adjusted from the perspective of mass by adjusting the mass of the mass block. That is, the present invention can adjust the vibration frequency of the double-cantilever vibration isolation structure by adjusting the stiffness of the cantilever rod and the mass of the mass block. The adjustment is convenient and efficient, so that the vibration frequency of the cantilever vibration isolation structure can be quickly and effectively adjusted to be consistent with the natural frequency of the main structure, so as to best exert the vibration suppression effect of the vibration control device. This greatly improves the working efficiency and overall reliability of the vibration frequency adjustment of the double-cantilever vibration isolation structure and greatly reduces labor costs.

[0038] (5) The vibration control method of the present invention also has the above advantages. It only needs to configure a few parameters such as the mass of the mass block, the stiffness of the cantilever rod, the length of the cantilever rod and the damping ratio of the double-cantilever vibration isolation structure to adjust the optimal device layout according to the vibration requirements of the slender structure. It greatly reduces the complexity of the parameter setting of the direct damper system and greatly improves the configuration efficiency. Moreover, through parameter adjustment, it can easily and quickly achieve effective vibration reduction of slender structures of different types and vibration reduction requirements. BRIEF DESCRIPTION OF THE DRAWINGS

[0039] The present invention will be described in more detail below based on embodiments and with reference to the accompanying drawings, wherein:

[0040] Figure 1 It is a schematic diagram of the three-dimensional structure of the vibration control device of the present invention;

[0041] Figure 2 This is a schematic diagram of the installation angle of a single double-cantilever anti-vibration structure of the present invention on a stay cable;

[0042] Figure 3 Schematic diagram of the installation angle of multiple double-cantilever anti-vibration structures on the inclined cable of the present invention;

[0043] Figure 4 This is a positional relationship diagram of the strip elastic damping member of the present invention when it is arranged on the cantilever rod;

[0044] Figure 5 This is a positional relationship diagram of the eddy current damper of the present invention when it is arranged on the mass block;

[0045] Figure 6Schematic diagram of the installation position of the vibration control device of the present invention on the inclined cable;

[0046] Figure 7 This is a schematic diagram of the installation of two double-cantilever anti-vibration structures provided in the present invention;

[0047] Figure 8 is a flow chart of configuring the target elongated structure according to the present invention;

[0048] Figure 9 This is a comparison chart of the annual average ten-minute root mean square acceleration of the stay cable before and after the installation of the present invention;

[0049] Figure 10 This is a comparison chart of the annual minute average power spectrum results of the stay cable before and after the installation of the present invention;

[0050] Figure 11 It is a comparison diagram of the relationship between the ten-minute root mean square acceleration of the inclined cable and the wind speed before and after the installation of the present invention.

[0051] The numbers in the figure represent:

[0052] 1. Fixing assembly; 11. Connecting rod; 12. Mounting part; 2. Damping assembly; 21. Strip elastic damping member; 22. Eddy current damper; 221. Damping mass block; 222. Spring assembly; 223. Energy-dissipating magnet; 224. Conductor plate; 3. Double-cantilever vibration isolation structure; 31. Cantilever rod; 311. Strip stiffness member; 32. Mass block; 321. Mass support frame; 4. Slender structure. DETAILED DESCRIPTION

[0053] The present invention will be further described in detail below with reference to the accompanying drawings and specific embodiments, but the scope of protection of the present invention is not limited thereby.

[0054] like Figure 1 to Figure 7 As shown, the vibration control device for a slender structure of this embodiment can be applied to controlling the vibration of cable structures such as stay cables and slings, functional slender tubular structures such as masts, chimneys, lightning rods, and gas pipelines, and rigid members of transmission towers, such as diagonal and transverse rods. In this embodiment, the vibration control device includes a fixing assembly 1, a damping assembly 2, a cantilever rod 31 whose vibration frequency is adjusted by stiffness, and two mass blocks 32 whose vibration frequency is adjusted by mass. A mass block 32 is connected to each end of the cantilever rod 31 to form a dual-cantilever vibration isolation structure 3. The damping assembly 2 is disposed within the cantilever rod 31 and / or the mass blocks 32. The dual-cantilever vibration isolation structure 3 is mounted to the slender structure 4 via the fixing assembly 1, which is connected between the cantilever rod 31 and the slender structure 4.

[0055] The cantilever rod 31 of the present invention provides rigidity for the dual-cantilever vibration isolation structure 3, while the bending rigidity of the cantilever rod 31 provides rotational rigidity for the mass block 32. The two mass blocks 32 provide mass for the dual-cantilever vibration isolation structure 3, absorbing transferred energy and suppressing vibration of the slender structure 4. When the damping requirement of the slender structure 4 is low, the damping assembly 2 can be positioned within the cantilever rod 31 to provide damping for the slender structure 4. When the damping requirement of the slender structure 4 increases, the damping assembly 2 can be positioned within the mass block 32 to provide sufficient space to secure various types of damping assemblies 2. When the slender structure 4 vibrates, the mass block 32 and the damping assembly 2 will produce relative displacement, achieving a better damping effect for the slender structure 4.

[0056] The present invention adopts a non-grounded double-cantilever vibration isolation structure 3 and utilizes the tuned mass damping principle to provide an additional modal damping ratio for the slender structure 4; at the same time, the double-cantilever vibration isolation structure 3 can achieve effective control of in-plane and out-of-plane vibrations by adjusting the installation angle with the slender structure 4, thereby directly and effectively controlling wind-induced vibrations of the slender structure 4 in different directions, avoiding the problem of low vibration reduction efficiency of the direct damper system due to the influence of the grounded structure, which greatly improves the vibration reduction efficiency of the slender structure 4, ensures the safety and stability of the main structure during vibration, and is easy to operate and highly reliable.

[0057] The double-cantilever vibration isolation structure 3 of the present invention is directly installed on the slender structure 4 through the fixing component 1, eliminating the complex grounding support structure of the direct damper. The vibration isolation structure of the present invention is simple, occupies a small space, and is low in cost. It greatly reduces the structural complexity and installation difficulty of the vibration control device, and solves the disadvantages of the direct damping system from the root.

[0058] The present invention can adjust the stiffness of the cantilever rod 31 by adjusting its length and diameter, thereby adjusting the vibration frequency of the dual-cantilever vibration isolation structure 3 from the perspective of stiffness. Simultaneously, the vibration frequency of the dual-cantilever vibration isolation structure 3 can be adjusted from the perspective of mass by adjusting the mass block 32. Specifically, the present invention can adjust the vibration frequency of the dual-cantilever vibration isolation structure 3 by adjusting both the stiffness of the cantilever rod 31 and the mass of the mass block 32. This adjustment is convenient and efficient, allowing the vibration frequency of the cantilever vibration isolation structure 3 to be quickly and effectively adjusted to coincide with the natural frequency of the main structure, thereby maximizing the vibration suppression effect of the vibration control device. This significantly improves the efficiency and overall reliability of the vibration frequency adjustment of the dual-cantilever vibration isolation structure 3 and significantly reduces labor costs.

[0059] Furthermore, if Figure 2As shown in (a), when it is necessary to simultaneously control the in-plane vibration and out-of-plane vibration of the slender structure 4, that is, when the out-of-plane vibration response of the slender structure 4 is of the same order of magnitude as the in-plane vibration response, the same order of magnitude generally refers to the in-plane vibration acceleration being less than 10 times the out-of-plane vibration acceleration. For example, an in-plane vibration acceleration of 10m / s² and an out-of-plane vibration acceleration of 20m / s² are of the same order of magnitude, while an in-plane vibration acceleration of 10m / s² and an out-of-plane vibration acceleration of 120m / s² are of different orders of magnitude. In this case, the cantilever rod 31 is arranged parallel to the slender structure 4, that is, the dual-cantilever vibration isolation structure 3 is arranged parallel to the slender structure 4, and the cantilever rod 31 is installed in the plane of the slender structure 4. In this case, the mass block 32 can generate both in-plane vibration in the same direction as the in-plane vibration of the slender structure 4 and out-of-plane vibration in the same direction as the out-of-plane vibration of the slender structure 4, thereby achieving the purpose of simultaneously controlling the in-plane vibration and out-of-plane vibration of the slender structure 4.

[0060] like Figure 2 As shown in (b), when only the in-plane vibration of the slender structure 4 needs to be controlled and the out-of-plane vibration of the slender structure 4 does not need to be controlled, that is, when the in-plane vibration response of the slender structure 4 is much greater than the out-of-plane vibration response (usually refers to a situation where the in-plane vibration acceleration is more than 10 times greater than the out-of-plane vibration acceleration by more than one order of magnitude), the cantilever rod 31 is arranged perpendicular to the slender structure 4, and the mass block 32 vibrates in the same direction as the in-plane vibration of the slender structure 4, thereby better controlling the in-plane vibration.

[0061] Preferably, if Figure 3 As shown, when the mass of the mass block 32 of the single double cantilever anti-vibration structure 3 is m 0 When the mass value is greater than the preset value or the installation space of the dual cantilever anti-vibration structure 3 is limited, the dual cantilever anti-vibration structure 3 is provided in at least two groups, and the two or more groups of dual cantilever anti-vibration structures 3 are arranged along the circumference and / or axial direction of the slender structure 4, and each dual cantilever anti-vibration structure 3 is connected to the same position of the slender structure 4 through the fixing component 1. This makes the mass of the mass block 32 of the dual cantilever anti-vibration structure 3 m 0 The dispersed arrangement facilitates the reliable and efficient installation of the double cantilever anti-vibration structure 3, and its small footprint avoids the problem of limited installation space. The number of groups of the double cantilever anti-vibration structure 3 can be adjusted according to the mass of the mass block 32. m 0 The preset mass value can be set according to the actual situation, for example, the preset mass value can be set to 80 kg.

[0062] When multiple groups of double cantilever vibration isolation structures 3 simultaneously control the in-plane vibration and out-of-plane vibration of the slender structure 4, the cantilever rods 31 of each double cantilever vibration isolation structure 3 are arranged parallel to the slender structure 4, and the multiple groups of double cantilever vibration isolation structures 3 are evenly arranged along the circumference of the slender structure 4 and connected to the same position of the slender structure 4 through the fixing component 1.

[0063] like Figure 3 (a) is a schematic diagram of a structure in which two dual-cantilever vibration isolation structures 3 are arranged to simultaneously control both in-plane and out-of-plane vibrations of a slender structure 4. The cantilever rods 31 of the two dual-cantilever vibration isolation structures 3 are parallel to the slender structure 4 and symmetrically arranged around the slender structure 4. The two dual-cantilever vibration isolation structures 3 are connected to the same position on the slender structure 4 via a fixing assembly 1.

[0064] like Figure 3 (b) is a schematic diagram of a structure in which four dual-cantilever vibration isolation structures 3 are arranged to simultaneously control both in-plane and out-of-plane vibrations of a slender structure 4. The cantilever rods 31 of two of the dual-cantilever vibration isolation structures 3 are parallel to the slender structure 4, and the cantilever rods 31 of the four dual-cantilever vibration isolation structures 3 are evenly arranged along the circumference of the slender structure 4. The four dual-cantilever vibration isolation structures 3 are connected to the same position on the slender structure 4 via a fixing assembly 1.

[0065] In other embodiments, Figure 7 As shown, when multiple groups of dual-cantilever vibration isolation structures 3 simultaneously control the in-plane vibration and out-of-plane vibration of the slender structure 4, multiple groups of dual-cantilever vibration isolation structures 3 can also be arranged along the axial direction of the slender structure 4. The number of dual-cantilever vibration isolation structures 3 can also be set to a single group, such as three or five groups.

[0066] When multiple groups of double cantilever vibration isolation structures 3 only need to control the in-plane vibration of the slender structure 4 or the in-plane vibration is mainly controlled, the cantilever rods 31 of each double cantilever vibration isolation structure 3 are arranged perpendicular to the slender structure 4, and the double cantilever vibration isolation structures 3 are arranged symmetrically in pairs with the slender structure 4 as the center to form multiple groups of cantilever vibration isolation units. The multiple groups of cantilever vibration isolation units are arranged along the axial direction of the slender structure 4, and the multiple groups of double cantilever vibration isolation structures 3 are connected to the same position of the slender structure 4 through the fixing component 1.

[0067] like Figure 3 (c) is a schematic diagram of the structure when two sets of dual-cantilever vibration isolation structures 3 are set up to control the in-plane vibration of the slender structure 4. The cantilever rods 31 of the two sets of dual-cantilever vibration isolation structures 3 are perpendicular to the slender structure 4 and are arranged symmetrically around the slender structure 4. The two sets of dual-cantilever vibration isolation structures 3 are connected to the same position on the slender structure 4 via a fixing assembly 1.

[0068] Figure 3 (d) is a schematic diagram of the structure when four sets of dual-cantilever vibration isolation structures 3 are set up to control the in-plane vibration of the slender structure 4. The four sets of dual-cantilever vibration isolation structures 3 are arranged symmetrically with the slender structure 4 as the center, forming two sets of cantilever vibration isolation units. The two sets of cantilever vibration isolation units are arranged along the axial direction of the slender structure 4. The four sets of dual-cantilever vibration isolation structures 3 are connected to the same position on the slender structure 4 via a fixing assembly 1.

[0069] In other embodiments, when multiple groups of dual-cantilever vibration isolation structures 3 only need to control the in-plane vibration of the slender structure 4 or the in-plane vibration is mainly controlled, the multiple groups of dual-cantilever vibration isolation structures 3 may also be evenly arranged along the circumference of the slender structure 4 to form one or two or more groups of cantilever vibration isolation units, with the two or more groups of cantilever vibration isolation units being arranged along the axial direction of the slender structure 4. For example, the dual-cantilever vibration isolation structures 3 may be arranged in three groups, and the three groups of dual-cantilever vibration isolation structures 3 may be evenly arranged along the circumference of the slender structure 4, with the angles between the three groups of dual-cantilever vibration isolation structures 3 being 60°; if the dual-cantilever vibration isolation structures 3 may be arranged in six groups, the three groups of dual-cantilever vibration isolation structures 3 may be evenly arranged along the circumference of the slender structure 4 to form two groups of cantilever vibration isolation units, with the two groups of cantilever vibration isolation units being arranged along the axial direction of the slender structure 4.

[0070] like Figure 4 As shown, when the vibration of the slender structure 4 is low or the required damping is small, the damping assembly 2 can be installed inside the cantilever rod 31. The damping assembly 2 includes a strip-shaped elastic damping member 21, and the cantilever rod 31 includes a strip-shaped rigidity member 311. The strip-shaped elastic damping members 21 and the rigidity members 311 are arranged alternately in an array to form a composite cantilever rod that provides both rigidity and energy-dissipating damping. Meanwhile, the mass block 32 is a solid mass block. This achieves the damping and vibration reduction requirements of the slender structure 4 within a simple and compact space, significantly reducing the complexity of existing vibration reduction structures.

[0071] In this embodiment, the strip-shaped elastic damping member 21 is a rubber rod or polyester fiber rod, and the strip-shaped rigidity member 311 is a metal rod. The strip-shaped elastic damping member 21 and the strip-shaped rigidity member 311 are integrally formed or assembled and connected to further ensure that the dual-cantilever vibration isolation structure 3 is provided with sufficient stiffness while also providing a certain degree of damping to the slender structure 4. In this embodiment, the shape of the cantilever rod 31 can be set according to specific needs, such as a cylindrical or square column shape.

[0072] like Figure 5 As shown, when the slender structure 4 vibrates significantly or requires high damping, the damping assembly 2 can be disposed within the mass block 32. The damping assembly 2 includes an eddy current damper 22. The mass block 32 is a mass support frame 321 with a mounting cavity. The eddy current damper 22 is mounted within the mounting cavity. The cantilever rod 31 is a rigid cantilever rod. When the slender structure 4 vibrates, the eddy current damper 22 moves relative to the mass block 32 to generate a damping force.

[0073] In this embodiment, the eddy current damper 22 includes a damping mass 221, a spring assembly 222, and a damping unit. The damping mass 221 is mounted to the bottom plate of the mass support frame 321 via the spring assembly 222, allowing the damping mass 221 to swing horizontally when the cable vibrates. The damping unit includes an energy-dissipating magnet 223 and a conductive plate 224. The energy-dissipating magnet 223 and the conductive plate 224 are arranged relative to each other and are located on the horizontal side and / or upper and lower sides of the damping mass 221. The energy-dissipating magnet 223 is mounted on the damping mass 221, and the conductive plate 224 is located on the inner surface of the mass support frame 321. The projection of the energy-dissipating magnet 223 remains within the conductive plate 224 when the damping mass 221 swings. In other embodiments, the energy dissipation magnet 223 and the conductor plate 224 may also be installed interchangeably, that is, the conductor plate 224 is installed on the damping mass block 221 , and the energy dissipation magnet 223 is disposed on the inner surface of the mass support frame 321 .

[0074] When the damping mass 221 swings, the energy-dissipating magnet 223 and the conductive plate 224 generate relative motion. At this point, the conductive plate 224 cuts the magnetic flux lines, generating an eddy current damping force. Under this eddy current damping force, the damping mass 221 swings at a slower and slower speed, with a smaller and smaller angle, until it stops. This converts the energy generated by the structural vibration into heat generated by the eddy currents, achieving the goal of energy dissipation and vibration reduction. In other embodiments, the energy-dissipating magnet 223 can also be a permanent magnet made of other materials.

[0075] In other embodiments, the damping assembly 2 may also be a viscous shear damper, the damping unit of the viscous shear damper is an oil damping component, and the oil damping components are symmetrically arranged on both sides of the damping mass block 221 in the horizontal direction to realize the energy dissipation and vibration reduction function of the damper.

[0076] When the slender structure 4 vibrates significantly or requires significant damping, a damping assembly 2 can be installed within both the cantilever rod 31 and the mass block 32. The specific location of the damping assembly 2 can be adjusted based on the vibration reduction requirements of the slender structure 4 and the actual situation, and is not limited here.

[0077] In this embodiment, the slender structure 4 has a small vibration or requires a small damping, and the damping ratio of the double cantilever anti-vibration structure 3 can be g 0 is less than the first preset value as the judgment standard; when the slender structure 4 vibrates greatly or the damping required is large, the damping ratio of the double cantilever anti-vibration structure 3 can be g 0 is greater than the second preset value as the judgment standard; the slender structure 4 vibrates greatly or the damping required is large, and the damping ratio of the double cantilever anti-vibration structure 3 can be g0 is greater than the third preset value as the judgment criterion. The first preset value, the second preset value, and the third preset value satisfy the following: first preset value < second preset value < third preset value. The first preset value, the second preset value, and the third preset value can be selected based on the actual vibration reduction requirements of the slender structure 4. In other embodiments, other methods can be used to determine the vibration and damping of the slender structure 4.

[0078] Furthermore, if Figure 1 As shown, one end of the fixing assembly 1 is connected to the middle of the cantilever rod 31 , and the other end of the fixing assembly 1 is connected to the slender structure 4 to ensure the balance and installation reliability of the double cantilever vibration isolation structure 3 on the slender structure 4 .

[0079] Furthermore, the fixing assembly 1 includes a connecting rod 11 and a mounting member 12 that are interconnected. The connecting rod 11 is arranged at the axial center position of the cantilever rod 31, and the mounting member 12 is provided with a mounting surface that is adapted to the outer surface of the slender structure 4. The mounting member 12 is reliably connected to the slender structure 4 through the mounting surface to effectively fix the double cantilever vibration isolation structure 3 to the slender structure 4.

[0080] In this embodiment, the mounting member 12 is a clamp to facilitate adjustment and replacement of the dual cantilever anti-vibration structure 3. At the same time, the connection between the cantilever rod 31 and the fixing assembly 1, and the connection between the cantilever rod 31 and the mass block 32 can be welded or bolted.

[0081] In this embodiment, the mass block 32 is a metal mass block. The metal mass block can be made of various materials, such as steel, aluminum alloy, stainless steel, or lead, depending on weight and volume requirements. Furthermore, the shape of the mass block 32 can be square, circular, elliptical, or conical, to ensure that the mass block 32 meets the predetermined mass standard. In this embodiment, when the damping assembly 2 is disposed within the mass block 32, the cantilever rod 31 can be a metal cantilever rod, such as a metal cantilever rod 31 made of steel, aluminum alloy, or steel wire rope.

[0082] Figure 8 The vibration control method of the vibration control device for the slender structure of this embodiment is shown. The method of the present invention first determines the modal frequency of the slender structure 4 according to modal analysis. f n , modal damping g n , modal mass m n and the control mode order n Then, the configuration parameters of the slender structure 4 are confirmed according to the data of the slender structure 4, and the configuration of the double cantilever anti-vibration structure 3 itself is determined according to the configuration parameters; according to the control modal order nThe length of the slender structure 4 and the double cantilever anti-vibration structure 3 determine the installation position of the slender structure 4. This achieves the optimal configuration of the vibration control device, making it possible to maximize the damping and vibration reduction effect of the device.

[0083] At the same time, only the mass of mass block 32 needs to be configured m 0 , the stiffness of the cantilever rod 31 k 0 , the length of the cantilever rod 31 l and the damping ratio of the double cantilever anti-vibration structure 3 g The device can be adjusted to the optimal setting and layout by just a few parameters, which greatly reduces the complexity of parameter setting of the direct damper system and greatly improves the configuration efficiency. Moreover, through parameter adjustment, effective vibration reduction of slender structures of different types and vibration reduction requirements can be achieved conveniently and quickly.

[0084] See also Figure 8 The vibration control method of the slender structure of this embodiment specifically includes the following steps:

[0085] Step 1) Obtain the vibration response data of the slender structure 4, perform modal analysis on the vibration response data, and determine the modal frequency of the slender structure 4 f n , modal damping of slender structure 4 g n , modal mass of slender structure 4 m n and the control mode order n .

[0086] In this embodiment, the cable vibration response data includes vibration acceleration, vibration displacement and vibration frequency, etc., and the cable vibration response data can be obtained through on-site measurement. Modal analysis is an existing analysis method, that is, the modal frequency of the slender structure 4 is obtained by performing existing experiments or calculations on the cable vibration response data. f n , modal damping of slender structure 4 g n , modal mass of slender structure 4 m n and the control mode order n The data obtained are the characteristics of the slender structure 4 itself, which provide a calculation basis for obtaining the configuration parameters of the vibration control device in step 2). In other embodiments, the modal mass of the slender structure 4 is m n It can also be obtained by finite element analysis, that is, the modal mass is obtained through software modeling.

[0087] Step 2) Determine the configuration parameters of the vibration control device, which include the mass of the mass block 32m 0 , the stiffness of the cantilever rod 31 k 0 , the length of the cantilever rod 31 l and the damping ratio of the double cantilever anti-vibration structure 3 g 0.

[0088] Among them, the mass of the mass block 32 m 0 According to the modal mass of the slender structure 4 m n Alternatively, the mass of the mass block 32 may be determined according to the following expression: m 0 :

[0089] ,

[0090] In the above expression m It is a preset coefficient in the range of 0.2%≤μ≤5%. m The specific value of can be set according to the weight of the slender structure 4, such as the modal mass of the slender structure 4 m n The smaller the mass of the mass block 32 m 0 The smaller the m The smaller the value, the smaller the modal mass of the slender structure 4. m n The larger the mass of the required mass block 32 m 0 The larger the m The larger the value, the greater the preset coefficient is determined based on the mass of the mass block 32. m.

[0091] In this embodiment, the stiffness of the cantilever rod 31 is k 0 According to the mass of the mass block 32 m 0 and the frequency of the double cantilever anti-vibration structure 3 f 0 Determine the frequency of the double cantilever vibration isolation structure 3 f 0 According to the modal damping of the slender structure 4 g n and the modal frequency of slender structure 4 f n Optionally, the stiffness of the cantilever rod 31 is calculated and determined. k 0 The calculation formula is:

[0092] ,

[0093] Based on the above formula, the present invention determines the stiffness of the cantilever rod 31: k 0 The principle can be: according to the preset coefficient m Combined modal damping of slender structures 4 g n Get the optimal frequency ratio of the slender structure 4 , so that the slender structure 4 with different masses and different modal damping can be matched to determine the optimal frequency ratio of the slender structure 4 According to the optimal frequency ratio of the slender structure 4 , combined with the modal frequency of slender structure 4 f n Get the frequency of the double cantilever vibration isolation structure 3 f 0 Afterwards, according to the frequency of the double cantilever anti-vibration structure 3 f 0 , combined with the mass of mass block 32 m 0 The stiffness of the cantilever rod 31 is obtained k 0 , so that the optimal frequency ratio of the slender structure 4 Based on the above, it is possible to match the modal frequencies of 4 slender structures with different f n 、The mass of different mass blocks 32 m 0 Determine the stiffness of the cantilever rod 31 k 0 .

[0094] It can be seen that the stiffness of the cantilever rod 31 of the present invention is k 0 The stiffness of the cantilever rod 31 can be adjusted according to the actual situation of the slender structure 4. k 0 The optimal configuration parameter values ​​are obtained based on the different modal masses, modal damping and modal frequencies of the slender structure 4. The stiffness of the cantilever rod 31 is k 0 It can meet the damping and vibration reduction requirements of different slender structures 4, improve energy utilization, save costs, and has fast calculation speed and high accuracy.

[0095] In other embodiments, the stiffness of the cantilever rod 31 is k 0 It can also be determined by other methods or calculation expressions according to actual conditions.

[0096] When the dual cantilever anti-vibration structures 3 are provided in at least two groups, the mass blocks 32 of the at least two groups of dual cantilever anti-vibration structures 3 are mi With the mass of a single double cantilever vibration isolation structure 3 m 0 The relationship is mi= m 0 / n ,in, n is the number of sets of double cantilever anti-vibration structures 3. At the same time, the cantilever rod stiffness of at least two sets of double cantilever anti-vibration structures 3 is I The cantilever rod stiffness of the single double cantilever anti-vibration structure 3 is I The relationship is Ii=I / n In this embodiment, the length of the cantilever rod 31 is l According to the rigidity of the cantilever rod 31 k 0 and the section inertia moment of the cantilever rod 31 in the vibration direction Optionally, the length of the cantilever rod 31 is determined by calculation. l The calculation formula is:

[0097] ,

[0098] in, E is the elastic modulus of the cantilever rod 31.

[0099] In this embodiment, the elastic modulus of the cantilever rod 31 is E The moment of inertia of the section of the cantilever rod 31 in the vibration direction is obtained based on the material of the cantilever rod 31 and the existing experimental method. It can be obtained based on the properties of the cantilever rod 31; at the same time, the section inertia moment of the cantilever rod 31 in the vibration direction Sectional moment of inertia including in-plane vibration direction 1 and the section moment of inertia in the out-of-plane vibration direction 2. When the cantilever rod 31 has a circular or square cross-section, 1= 2.

[0100] It can be seen that the length of the cantilever rod 31 of the present invention is l According to the rigidity of the cantilever rod 31 k 0 , Sectional moment of inertia of cantilever rod 31 in the vibration direction and the elastic modulus of the cantilever rod 31 E The actual situation is adjusted, and the optimal configuration parameter value is obtained on this basis. The length of the cantilever rod 31 l It can meet the damping and vibration reduction requirements of different slender structures 4, and its calculation is simple, fast and accurate. l It can also be determined in other ways based on actual circumstances.

[0101] In this embodiment, the damping ratio of the double cantilever anti-vibration structure 3 is g 0 can be based on the modal damping of the slender structure 4 g n Optionally, the damping ratio of the double cantilever anti-vibration structure 3 is calculated and determined. g The calculation formula for 0 is:

[0102] ,

[0103] It can be seen that the damping ratio of the double cantilever anti-vibration structure 3 of the present invention is g 0 can be based on the modal damping of the slender structure 4 g n and according to the mass of mass block 32 m 0 Determined preset coefficient m Adjust so that the damping ratio of the double cantilever anti-vibration structure 3 is g 0 can meet the effective vibration reduction of the slender structure 4 with different modal damping. m 0 , the stiffness of the cantilever rod 31 k 0 , the length of the cantilever rod 31 l and the damping ratio of the double cantilever anti-vibration structure 3 g 0 Determine the configuration of the double cantilever anti-vibration structure 3 itself. In other embodiments, the damping ratio of the double cantilever anti-vibration structure 3 g 0 can also be determined by other methods or calculation expressions according to actual conditions.

[0104] Specifically, according to the mass of the mass block 32 m 0 Determine the material and shape of the mass block 32 so that the mass block 32 reaches the required mass. m 0 According to the stiffness of the cantilever rod 31 k 0 , the length of the cantilever rod 31 l The material and cross-sectional shape of the cantilever rod 31 are determined so that the cantilever rod 31 can be l At the same time, meet the required stiffness k 0 According to the damping ratio of the double cantilever anti-vibration structure 3 g 0 Determine the layout and selection of the damping component 2 in the double cantilever anti-vibration structure 3, such as the required damping ratio of the double cantilever anti-vibration structure 3 g 0 is less than the first preset value (such as g 0≤1%), the damping component 2 is configured as a strip elastic damping member 21, and the strip elastic damping member 21 is arranged in the cantilever rod 31; when the damping ratio of the required double cantilever anti-vibration structure 3 is g0 is greater than the second preset value (such as 1% < g 0<5%), the damping component 2 is set as an eddy current damper 22 or a viscous shear damper, and the eddy current damper 22 or the viscous shear damper is arranged in the mass block 32 to provide a large damping force; when the damping ratio of the required double cantilever anti-vibration structure 3 is g 0 is greater than the third preset value (if required g 0 is greater than 5%), the damping assembly 2 can be simultaneously provided inside the cantilever rod 31 and the mass block 32 to provide a greater damping force, and the first preset value < the second preset value < the third preset value.

[0105] In one specific embodiment, the first preset value may be within a range where the preset damping ratio is less than or equal to 1%, the second preset value may be within a range where the preset damping ratio is greater than 1% but less than or equal to 5%, and the third preset value may be within a range where the preset damping ratio is greater than 5%. In other embodiments, the value ranges may be adjusted based on the actual slender structure 4.

[0106] Step 3) Determine the maximum displacement point of the modal vibration shape of the slender structure 4 based on the control mode order n and the length L of the slender structure 4 l 0 , the maximum displacement point of the modal vibration shape of the slender structure 4 l 0 The installation position of the double-cantilever anti-vibration structure 3 on the slender structure 4 is determined. In other embodiments, step 2) and step 3) can be performed simultaneously or step 3) can be performed first according to actual conditions.

[0107] Specifically, such as Figure 6 As shown, according to the control mode order n and the length L of the slender structure 4, the half wavelength of the nth order mode is determined to be L / n. At this time, the maximum displacement point of the modal vibration shape of the slender structure 4 is l 0 is the midpoint of the half-wavelength of the mode, that is, l 0 = L / 2n, the dual-cantilever vibration isolation structure 3 is placed at L / 2n, thus determining the installation position of the slender structure 4. If the control modal order n = 1, the dual-cantilever vibration isolation structure 3 is placed at L / 2 of the slender structure 4. This places the dual-cantilever vibration isolation structure 3 at the maximum displacement of the modal vibration shape, maximizing the damping and vibration reduction effect of the slender structure 4.

[0108] Furthermore, the number of dual-cantilever anti-vibration structures 3 can be flexibly adjusted according to the vibration mode of the slender structure 4. In general, when the slender structure 4 has only one outstanding vibration frequency band and / or the modal vibration frequency band width is narrow, only one dual-cantilever anti-vibration structure 3 can be installed on the slender structure 4. When the target slender structure 4 has two or more outstanding vibration frequency bands and / or the modal vibration frequency band width is wide, such as Figure 7As shown, two or more dual-cantilever vibration isolation structures 3 may be used accordingly. In other embodiments, a dual-cantilever vibration isolation structure 3 may be combined with other ground-type dampers. The specific combination may be set according to the actual frequency band vibration requirements.

[0109] At this time, the installation position of the second double-cantilever vibration isolation structure 3 (or grounded damper) is also determined according to the control modal order n and the length L of the slender structure 4. If there are two outstanding vibration frequency bands and the control modal order n = 2, the second damping component 2 is set at L / 4, that is, the second damping component 2 is installed at the maximum displacement of the most outstanding vibration mode of the second modal vibration frequency band, so as to achieve effective vibration reduction of the slender structure 4 in both outstanding vibration frequency bands. The mass of the second mass block 32 m 0 , the stiffness of the cantilever rod 31 k 0 , the length of the cantilever rod 31 l and the damping ratio of the double cantilever anti-vibration structure 3 g 0 is also determined according to the above method for determining the configuration parameters of the double-cantilever vibration isolation structure.

[0110] In step 4, slender structure 4 is configured according to the determined configuration parameters of dual-cantilever vibration isolation structure 3 and the installation position of dual-cantilever vibration isolation structure 3 on slender structure 4. Vibration control is achieved by the configured slender structure 4. As can be seen, the present invention can easily and quickly achieve effective vibration reduction for slender structures 4 of different types and vibration reduction requirements through parameter adjustment.

[0111] In a specific embodiment, the slender structure 4 is a cable-stayed cable. The double-cantilever anti-vibration structure 3 of the present invention has a length of 551 m, a cable diameter of 0.116 m, and a modal mass of the slender structure 4. m n The modal frequency of the slender structure 4 is 50.63 t. f n The damping ratio of each natural mode of the slender structure 4 is less than 0.1%. The field measurement shows that the excellent vibration order of the inclined cable is 40~50. The target modal control order is n= 0.5×(40+50)=45. The mass of the mass block 32 of the double cantilever anti-vibration structure 3 is obtained according to the vibration control method described above. m 0 The stiffness of the cantilever rod 31 is 125 kg. k 0 is 334 kN / m, the length of the cantilever rod 31 l The damping ratio of the double cantilever anti-vibration structure 3 is 0.24 m. g 0 is 1.5%, and the double cantilever anti-vibration structure 3 is configured and installed according to the above value.

[0112] Figure 9 to Figure 11 The figure shows the comparison of the vibration reduction effect before and after installing the double cantilever vibration isolation structure 3 of a specific embodiment. Specifically:

[0113] like Figure 9 The figure is a comparison of the annual average ten-minute root mean square acceleration of the inclined cable with and without the double cantilever anti-vibration structure 3 (i.e., anti-vibration hammer) obtained in the specific embodiment. Figure 9 (a) is a comparison diagram of the RMS acceleration of the external surface of the cable with and without the double cantilever anti-vibration structure 3; Figure 9 Middle (b) is a comparison diagram of the relationship between the RMS distribution and distribution ratio of the in-plane acceleration of the cable with and without the double-cantilever anti-vibration structure 3; Figure 9 (c) is a comparison of the relationship between the RMS distribution of the out-of-plane acceleration of the cable and the distribution ratio with and without the double cantilever anti-vibration structure 3. Figure 9 As can be seen in (a), the maximum in-plane response of the cable is less than 19 m / s 2 Reduced to less than 9 m / s 2 The maximum out-of-plane response of the cable is less than 9 m / s 2 Reduced to less than 5 m / s 2 ;from Figure 9 As can be seen in (b), the in-plane vibration response of the cable is greater than 1 m / s 2 The proportion of Figure 9 As can be seen in (c), the out-of-plane vibration response of the cable is greater than 1 m / s 2 The proportion of the double cantilever anti-vibration structure 3 is reduced from 85% to less than 40%. It can be seen that the setting of the double cantilever anti-vibration structure 3 effectively reduces the vibration response of the inclined cable.

[0114] like Figure 10 This figure compares the annual minute-averaged power spectrum of the cable-stayed cable with and without the dual-cantilever vibration isolation structure 3 (i.e., the anti-vibration hammer) in the specific embodiment. Without the anti-vibration hammer, the cable exhibits a distinct dominant vibration frequency around 10.52 Hz, indicating significant wind-induced vibration. With the anti-vibration hammer, the cable no longer exhibits a distinct dominant vibration frequency, and the one-minute average acceleration power spectrum peak value for the cable in the 45th modal vibration is >450 m² / s. 3 Reduced to <0.01 m2 / s 3 This shows that the double-cantilever anti-vibration structure 3 of this embodiment absorbs and dissipates most of the vibration energy of the inclined cables.

[0115] like Figure 11 The following is a comparison of the relationship between the ten-minute root mean square acceleration of the inclined cable and the wind speed with and without the double cantilever anti-vibration structure 3 (i.e., anti-vibration hammer) obtained in the specific embodiment. Figure 11(a) is a comparison diagram of the relationship between the ten-minute root mean square acceleration of the cable of the non-double cantilever anti-vibration structure 3 and the wind speed. Figure 11 Middle (b) is a comparison diagram of the relationship between the ten-minute root mean square acceleration of the inclined cable with the double-cantilever vibration isolation structure 3 and the wind speed.

[0116] from Figure 11 As can be seen in (a), when there is no double cantilever anti-vibration structure 3, the vibration of the inclined cable is concentrated around 7.5 m / s and 15.6 m / s, and the maximum response exceeds 20 m / s. 2 , while there is no obvious vibration response in the wind speed range of 11~13 m / s, that is: the RMS value of the cable vibration acceleration and the wind speed value have obvious "wind speed locking" phenomenon unique to vortex vibration, indicating that the vortex vibration phenomenon is obvious. Figure 11 As can be seen in (b), when there is a double cantilever anti-vibration structure 3, the maximum response of the cable is less than 5m / s 2 , and the vibration response no longer shows the phenomenon of being concentrated at a certain wind speed, that is, the root mean square value of the vibration acceleration of the inclined cable and the wind speed value no longer have the obvious "wind speed locking" phenomenon unique to vortex vibration. It can be seen that the double-cantilever vibration isolation structure 3 of this specific embodiment completely suppresses the high-order vortex vibration of the inclined cable, and the vortex vibration phenomenon is completely controlled.

[0117] It can be seen that the specific embodiment of the present invention effectively reduces the vibration response of the inclined cable, thereby better protecting the inclined cable itself and its anchoring structure, extending the service life of the cable and the anchoring structure, and effectively improving the safety and service life of the overall bridge structure.

[0118] While the present invention has been described with reference to preferred embodiments, various modifications may be made thereto and equivalent components may be substituted without departing from the scope of the present invention. In particular, the various technical features described in the various embodiments may be combined in any manner, provided no structural conflicts exist. The present invention is not limited to the specific embodiments disclosed herein, but encompasses all technical solutions within the scope of the claims.

Claims

1. A vibration control method for a vibration control device of a slender structure, characterized in that: The invention uses a vibration control device, which includes a fixing assembly, a damping assembly, a cantilever rod whose vibration frequency is adjusted by stiffness, and two mass blocks whose vibration frequency is adjusted by mass. The two ends of the cantilever rod are respectively connected to one of the mass blocks to form a double-cantilever vibration isolation structure. The damping assembly is arranged inside the cantilever rod and / or the mass blocks. The double-cantilever vibration isolation structure is mounted on a slender structure via the fixing assembly, and the fixing assembly is connected between the cantilever rod and the slender structure. When the in-plane vibration acceleration of the slender structure is less than 10 times the out-of-plane vibration acceleration, the cantilever rod is arranged parallel to the slender structure, and the cantilever rod is installed in the plane of the slender structure. The mass block can generate in-plane vibration in the same direction as the in-plane vibration of the slender structure, and can also generate out-of-plane vibration in the same direction as the out-of-plane vibration of the slender structure. When the in-plane vibration acceleration of the slender structure is more than 10 times the out-of-plane vibration acceleration, the cantilever rod is arranged perpendicular to the slender structure, and the mass block generates vibration in the same direction as the in-plane vibration of the slender structure, thereby better controlling the in-plane vibration. When the required damping ratio of the double cantilever vibration isolation structure is When the damping ratio of the double cantilever anti-vibration structure is less than the first preset value, the damping component is arranged in the cantilever rod; when the damping ratio of the double cantilever anti-vibration structure is less than the first preset value, the damping component is arranged in the cantilever rod; When the damping ratio of the double cantilever anti-vibration structure is greater than the second preset value, the damping component is arranged in the mass block; when the damping ratio of the double cantilever anti-vibration structure is greater than the second preset value, the damping component is arranged in the mass block; When the value is greater than the third preset value, the damping assembly is arranged inside the mass block and the cantilever rod at the same time; the first preset value, the second preset value and the third preset value satisfy the following conditions: the first preset value < the second preset value < the third preset value; When the damping assembly is arranged in the cantilever rod, the damping assembly includes a strip-shaped elastic damping member, the cantilever rod includes a strip-shaped rigidity member, and the strip-shaped elastic damping member and the strip-shaped rigidity member are alternately arranged in an array to form a composite cantilever rod having both rigidity and damping energy dissipation functions.

2. The vibration control method according to claim 1, wherein: When the damping assembly is arranged in the cantilever rod, the mass block is a solid mass block.

3. The vibration control method according to claim 1, wherein: When the damping assembly is arranged in the mass block, the damping assembly includes an eddy current damper or a viscous shear damper, the mass block is a mass support frame with a mounting cavity, the eddy current damper or the viscous shear damper is mounted in the mounting cavity, and the cantilever rod is a stiffness cantilever rod; The eddy current damper or viscous shear damper includes a damping mass block, a spring assembly and a damping unit, and the damping mass block is mounted on the bottom plate of the mass support frame through the spring assembly; the damping unit of the eddy current damper includes an energy-dissipating magnetic steel and a conductor plate arranged oppositely, and the energy-dissipating magnetic steel and the conductor plate are arranged on the horizontal side or the upper and lower sides of the damping mass block; the damping unit of the viscous shear damper is an oil damping component, and the oil damping component is symmetrically arranged on the horizontal side of the damping mass block.

4. The vibration control method according to claim 1, wherein: When the mass of a single mass block of the dual-cantilever vibration isolation structure is greater than a preset mass value or the installation space of the dual-cantilever vibration isolation structure is limited, the dual-cantilever vibration isolation structure is provided in at least two groups, and the two or more groups of dual-cantilever vibration isolation structures are arranged along the circumference and / or axial direction of the slender structure and are connected to the same position of the slender structure through a fixing assembly.

5. The vibration control method according to any one of claims 1 to 4, characterized in that: include: Obtain vibration response data of the slender structure, perform modal analysis on the vibration response data, and determine the modal frequency of the slender structure , modal damping , modal mass and the control mode order ; Determine the configuration parameters of the double cantilever vibration isolation structure: Based on the modal mass of the slender structure Determine the mass of the proof mass : According to the mass of the mass block and the frequency of the double cantilever vibration isolation structure Determine the stiffness of the cantilever rod , the frequency of the double cantilever vibration isolation structure According to the modal damping of the slender structure and the modal frequencies of slender structures Determine; According to the stiffness of the cantilever and the section moment of inertia in the cantilever rod vibration direction Determine the length of the cantilever rod ; According to the modal damping of the slender structure Determine the damping ratio of the double cantilever vibration isolation structure ; According to the control modal order and the length of the slender structure Determine the maximum displacement point of the modal vibration shape of the slender structure , the maximum displacement point of the modal vibration shape of the slender structure Determining an installation position of the double-cantilever vibration isolation structure on the slender structure; The slender structure is configured according to the determined configuration parameters and installation position of the double-cantilever vibration isolation structure, and vibration control is achieved by the configured slender structure.

6. The vibration control method according to claim 5, characterized in that: According to the modal mass of the slender structure Determine the mass of the proof mass , including: determining the mass of the mass block according to the following expression : ,in, for Preset coefficients within the range; According to the mass of the mass block and the frequency of the double cantilever vibration isolation structure Determine the stiffness of the cantilever rod , including: according to the preset coefficient , the modal damping of the slender structure Get the optimal frequency ratio for slender structures , according to the optimal frequency ratio of the slender structure and the modal frequencies of the slender structure Get the frequency of the double cantilever vibration isolation structure , according to the frequency of the double cantilever vibration isolation structure and the mass of the mass block Get the stiffness of the cantilever , the calculation expression is: 。 7. The vibration control method according to claim 6, characterized in that: According to the stiffness of the cantilever and the section moment of inertia in the cantilever rod vibration direction Determine the length of the cantilever rod , including: calculating the length of the cantilever rod according to the following expression : in, is the elastic modulus of the cantilever rod; According to the modal damping of the slender structure Calculate the damping ratio of the double cantilever vibration isolation structure , including: calculating the damping ratio of the double cantilever anti-vibration structure according to the following expression : in, for The preset coefficients are within the range.

8. The vibration control method according to claim 7, wherein: Also includes a damping ratio according to the double cantilever vibration isolation structure Determine the setting position of the damping unit, wherein, when the damping ratio of the double cantilever vibration isolation structure is When the damping ratio of the double cantilever anti-vibration structure is less than the first preset value, the damping component is configured as a strip elastic damping member, and the strip elastic damping member is arranged in the cantilever rod; When the damping ratio of the double cantilever anti-vibration structure is greater than the second preset value, the damping component is set to an eddy current damper or a viscous shear damper, and the eddy current damper or the viscous shear damper is arranged in the mass block; when the damping ratio of the double cantilever anti-vibration structure is greater than the second preset value, the damping component is set to an eddy current damper or a viscous shear damper, and the eddy current damper or the viscous shear damper is arranged in the mass block; When it is greater than the third preset value, the damping assembly is arranged inside the mass block and the cantilever rod at the same time; the first preset value, the second preset value and the third preset value satisfy: the first preset value < the second preset value < the third preset value.

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