Vibration control device and vibration control method for slender structure

Abstract

The invention provides a vibration control device and a vibration control method for an elongated structure. The device comprises a fixing assembly, a damping assembly, a cantilever rod and two mass blocks, the two ends of the cantilever rod are connected with one mass block, and the damping assembly is arranged in the cantilever rod and / or the mass blocks; the double-cantilever anti-vibration structure is installed below the long and thin structure through a fixing assembly. The method comprises the following steps: determining modal frequency, modal damping, modal quality and control modal order of the slender structure; determining configuration parameters of the device according to the data of the slender structure; determining the configuration of the double-cantilever anti-vibration structure according to the mass of a mass block, the rigidity of a cantilever rod, the length of the cantilever rod and the damping ratio of the double-cantilever anti-vibration structure in the configuration parameters; and determining the maximum displacement point of the modal shape of the slender structure according to the control modal order and the length of the slender structure, and determining the maximum displacement point as the mounting position of the double-cantilever anti-vibration structure on the slender structure. The damping device has the advantages of being excellent in damping effect, simple in structure and the like.

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 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 action of wind, rain, anchor end movement, internal (external) excitation, etc. The harm of slender structure vibration is multifaceted. At the least, it will disrupt the normal function of the main structure during its service life, and at the worst, it will cause fatigue damage to the anchoring parts and induce safety problems of the main structure. For example, the large vibration of the slender structure of a large-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] The vibrations of common slender structures mainly include: wind and rain vibration, vortex-induced resonance, galloping vibration, parametric vibration, buffeting, forced vibration, etc. Since slender structures usually have the characteristics of high flexibility and low damping, when vibration occurs, slender structures often vibrate significantly. For slender structures such as cables, in rainy weather accompanied by moderate wind speed, the surface of the cable will cover the stable upper waterline, which will change the aerodynamic shape of the cable body and induce the cable body to vibrate significantly due to wind and rain, with an amplitude of 2 to 5 times the cable diameter; at the same time, in weather with specific wind speeds, the fluid will undergo stable vortex shedding after passing through the cross-section of the slender structure. When the vortex shedding frequency is close to a certain order of natural frequency of the slender structure, the slender structure will vibrate vortex, which is a forced vibration with self-excitation characteristics. In addition, the vibration of slender structures in many cases will involve the coupling problem of vibration in both the in-plane and out-of-plane directions of the slender structure. It can be seen that the vibration conditions of slender structures are simple, the duration is long, and it threatens the safety of the slender structure itself and the main structure. It is necessary to control the vibration of slender structures with load-bearing and stability maintenance functions.

[0004] To solve the above problems, the existing vibration control method of slender structures is to install a direct damper system at the anchor end of the slender structure close to the main structure to improve the target modal damping ratio of the structure and reduce the wind-induced vibration response of the slender structure. However, it has the following problems: (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 accuracy and strength of the connecting parts. 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 set up more than two direct damper systems on the slender structure, which is costly, complex to construct and inefficient.

[0005] (2) The direct damper system has high requirements for support stiffness, which makes the support connection components in the system complex, difficult to construct, poor in durability, and high in 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, and the construction is complex and dangerous; (b) A complex hinge structure needs to be set between the damper component and the support component of the grounded damper system, which has poor durability, is difficult to maintain, and has high cost; (c) The direct damper system requires many parameters to be designed, and the parameter design is complex, which is inefficient. Summary of the invention

[0006] 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 elongated structure and excellent vibration reduction effect and a simple structure.

[0007] In order to solve the above technical problems, the technical solution proposed by the present invention is: 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 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 installed on the slender structure through the fixing assembly, and the fixing assembly is connected between the cantilever rod and the slender structure.

[0008] As a further improvement of the above technical solution: When the required damping ratio of the double cantilever vibration isolation structure is g 0 is less than the first preset value, the damping assembly 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.

[0009] 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.

[0010] 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, wherein 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-absorbing magnetic steel and a conductor plate arranged relatively, wherein the energy-absorbing 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, which is symmetrically arranged on the horizontal side of the damping mass block.

[0011] When both the in-plane vibration and the out-of-plane vibration of the slender structure need to be controlled simultaneously, the cantilever rod is arranged in parallel with the slender structure; when only the in-plane vibration of the slender structure needs to be controlled or the in-plane vibration is mainly controlled, the cantilever rod is arranged perpendicular to the slender structure.

[0012] When the mass of a single mass block of the double cantilever vibration isolation structure is greater than a preset mass value or the installation space of the double cantilever vibration isolation structure is limited, the double cantilever vibration isolation structure is provided in at least two groups, and more than two groups of the double 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.

[0013] A vibration control method for the vibration control device of the slender structure as described above comprises: Acquire 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 ; Determine the configuration parameters of the double cantilever vibration isolation structure: According to the modal mass of the slender structure m n Determine the mass of the proof mass m 0 : According to the mass of the mass blockm 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 the slender structure f n Determine; According to the stiffness of the cantilever rod k 0 and the section moment of inertia of the cantilever in the 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; According to the control mode 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 the installation position of the double cantilever anti-vibration 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.

[0014] As a further improvement of the above technical solution: 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%; 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: .

[0015] According to the stiffness of the cantilever rod k 0 and the section moment of inertia of the cantilever in the vibration direction Determine the length of the cantilever rod l , including: calculating the length of the cantilever rod according to the following expression l： , in, E is the elastic modulus of the cantilever rod.

[0016] 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: , in, m 0.2%≤ m Preset coefficient within the range of ≤5%.

[0017] 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 g0 is greater than the second preset value, the damping component is configured as 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 g 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.

[0018] Compared with the prior art, the advantages of the present invention are: (1) The vibration control device of the present invention includes a double cantilever vibration isolation structure composed of a cantilever rod and two mass blocks. The double cantilever vibration isolation structure is installed under 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 the rotational rigidity of 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 the transferred energy and suppress the 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 forms 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.

[0019] (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 has high reliability.

[0020] (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 grounding support structure of the direct damper. The double cantilever anti-vibration structure of the present invention is simple, occupies a small space, and has low 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.

[0021] (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 achieve the vibration frequency adjustment 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, which greatly improves the working efficiency and overall reliability of the vibration frequency adjustment of the double cantilever vibration isolation structure and greatly reduces the labor cost.

[0022] (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 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 easily and quickly achieved. BRIEF DESCRIPTION OF THE DRAWINGS

[0023] The present invention will be described in more detail below based on embodiments and with reference to the accompanying drawings, wherein: Figure 1 It is a schematic diagram of the three-dimensional structure of the vibration control device of the present invention; Figure 2 It is a schematic diagram of the installation angle of a single double cantilever anti-vibration structure of the present invention on a stay cable; Figure 3 It is a schematic diagram of the installation angle of multiple double cantilever anti-vibration structures on the inclined cable of the present invention; Figure 4 It is a position relationship diagram when the strip elastic damping member of the present invention is arranged on the cantilever rod; Figure 5 is a position relationship diagram when the eddy current damper of the present invention is arranged on the mass block; Figure 6 It is a schematic diagram of the installation position of the vibration control device of the present invention on the inclined cable; Figure 7 It is a schematic diagram of the installation of two double cantilever anti-vibration structures provided in the present invention; Figure 8 is a flow chart of configuring the target elongated structure according to the present invention; Figure 9 is a comparison chart of the annual average ten-minute root mean square acceleration of the inclined cable before and after the installation of the present invention; Figure 10 It is a comparison diagram of the annual minute average power spectrum results of the inclined cable before and after the installation of the present invention; 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.

[0024] The symbols in the figure represent: 1. Fixing assembly; 11. Connecting rod; 12. Mounting piece; 2. Damping assembly; 21. Strip elastic damping piece; 22. Eddy current damper; 221. Damping mass block; 222. Spring assembly; 223. Energy dissipating magnetic steel; 224. Conductor plate; 3. Double cantilever anti-vibration structure; 31. Cantilever rod; 311. Strip stiffness piece; 32. Mass block; 321. Mass support frame; 4. Slender structure. DETAILED DESCRIPTION

[0025] The present invention will be further described in detail below with reference to the accompanying drawings and specific embodiments, but the protection scope of the present invention is not limited thereby.

[0026] like Figure 1 to Figure 7 As shown, the vibration control device of the slender structure of the present embodiment can be applied to the vibration control of cable structures such as inclined cables and suspension cables, functional slender tubular structures such as masts, chimneys, lightning rods, gas pipelines, and rigid rods of transmission towers such as inclined rods and cross rods. In the present embodiment, the vibration control device includes a fixing component 1, a damping component 2, a cantilever rod 31 for adjusting the vibration frequency by stiffness, and two mass blocks 32 for adjusting the vibration frequency by mass, wherein the two ends of the cantilever rod 31 are respectively connected to a mass block 32 to form a double cantilever vibration isolation structure 3; the damping component 2 is arranged inside the cantilever rod 31 and / or the mass block 32; the double cantilever vibration isolation structure 3 is installed on the slender structure 4 through the fixing component 1, and the fixing component 1 is connected between the cantilever rod 31 and the slender structure 4.

[0027] The cantilever rod 31 of the present invention provides rigidity for the double cantilever anti-vibration structure 3, and the bending rigidity of the cantilever rod 31 provides the rotational rigidity of the mass block 32. The two mass blocks 32 provide mass for the double cantilever anti-vibration structure 3 to absorb the transferred energy and suppress the vibration of the slender structure 4. When the damping requirement of the slender structure 4 is small, the damping component 2 can be arranged inside the cantilever rod 31 to provide damping for the slender structure 4; when the damping requirement of the slender structure 4 increases, the damping component 2 can be arranged inside the mass block 32 to provide sufficient space to fix different forms of damping components 2. When the slender structure 4 vibrates, the mass block 32 and the damping component 2 will produce relative displacement, so as to achieve a better damping effect of the slender structure 4.

[0028] 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 has high reliability.

[0029] 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 has low 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.

[0030] The present invention can adjust the stiffness of the cantilever rod 31 by adjusting the length and diameter of the cantilever rod 31, thereby adjusting the vibration frequency of the double cantilever vibration isolation structure 3 from the perspective of stiffness; at the same time, the vibration frequency of the double cantilever vibration isolation structure 3 can be adjusted from the perspective of mass by adjusting the mass of the mass block 32. That is, the present invention can adjust the vibration frequency of the double cantilever vibration isolation structure 3 by adjusting the stiffness of the cantilever rod 31 and the mass of the mass block 32. 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, which greatly improves the working efficiency and overall reliability of the vibration frequency adjustment of the double cantilever vibration isolation structure 3 and greatly reduces the labor cost.

[0031] Furthermore, if Figure 2 As shown in (a), when it is necessary to control the in-plane vibration and out-of-plane vibration of the slender structure 4 at the same time, 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 usually refers to the in-plane vibration acceleration being less than 10 times the out-of-plane vibration acceleration, such as the in-plane vibration acceleration of 10m / s² and the out-of-plane vibration acceleration of 20m / s² belonging to the same order of magnitude, and the in-plane vibration acceleration of 10m / s² and the out-of-plane vibration acceleration of 120m / s² belonging to different orders of magnitude. At this time, the cantilever rod 31 is arranged in parallel with the slender structure 4, that is, the double cantilever anti-vibration structure 3 is arranged in parallel with the slender structure 4, and the cantilever rod 31 is installed in the plane of the slender structure 4. At this time, the mass block 32 can generate in-plane vibration in the same direction as the in-plane vibration of the slender structure 4, and can also generate out-of-plane vibration in the same direction as the out-of-plane vibration of the slender structure 4, so as to achieve the purpose of simultaneously controlling the in-plane vibration and out-of-plane vibration of the slender structure 4.

[0032] like Figure 2As 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 vertically 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.

[0033] Preferably, if Figure 3 As shown, when the mass of the mass block 32 of the single double cantilever vibration isolation structure 3 is m 0 When the mass value is greater than the preset mass 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. 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 determined 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.

[0034] 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.

[0035] like Figure 3 (a) is a schematic diagram of a structure in which two sets of double cantilever anti-vibration structures 3 are arranged to simultaneously control the in-plane vibration and out-of-plane vibration of the slender structure 4. The cantilever rods 31 of the two sets of double cantilever anti-vibration structures 3 are parallel to the slender structure 4, and the cantilever rods 31 of the two sets of double cantilever anti-vibration structures 3 are symmetrically arranged with the slender structure 4 as the center, and the two sets of double cantilever anti-vibration structures 3 are connected to the same position of the slender structure 4 through the fixing assembly 1.

[0036] like Figure 3 (b) is a schematic diagram of a structure in which four sets of double cantilever anti-vibration structures 3 are arranged to simultaneously control the in-plane vibration and out-of-plane vibration of the slender structure 4. The cantilever rods 31 of two sets of double cantilever anti-vibration structures 3 are parallel to the slender structure 4, and the cantilever rods 31 of the four sets of double cantilever anti-vibration structures 3 are evenly arranged along the circumference of the slender structure 4. The four sets of double cantilever anti-vibration structures 3 are connected to the same position of the slender structure 4 through the fixing assembly 1.

[0037] In other embodiments, Figure 7 As shown, when multiple groups of dual cantilever anti-vibration structures 3 simultaneously control the in-plane vibration and out-of-plane vibration of the slender structure 4, multiple groups of dual cantilever anti-vibration structures 3 can also be arranged along the axial direction of the slender structure 4. The number of dual cantilever anti-vibration structures 3 can also be set to a single group, such as three groups, five groups, etc.

[0038] When multiple groups of double cantilever vibration isolation structures 3 only need to control the in-plane vibration or mainly the in-plane vibration of the slender structure 4, 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.

[0039] like Figure 3 (c) is a schematic diagram of the structure when two sets of double cantilever anti-vibration structures 3 are set to control the in-plane vibration of the slender structure 4. The cantilever rods 31 of the two sets of double cantilever anti-vibration structures 3 are perpendicular to the slender structure 4, and the cantilever rods 31 of the two sets of double cantilever anti-vibration structures 3 are symmetrically arranged with the slender structure 4 as the center, and the two sets of double cantilever anti-vibration structures 3 are connected to the same position of the slender structure 4 through the fixing assembly 1.

[0040] Figure 3 (d) is a schematic diagram of the structure when four sets of double cantilever anti-vibration structures 3 are arranged to control the in-plane vibration of the slender structure 4. The four sets of double cantilever anti-vibration structures 3 are arranged symmetrically in pairs with the slender structure 4 as the center to form two sets of cantilever anti-vibration units. The two sets of cantilever anti-vibration units are arranged along the axial direction of the slender structure 4. The four sets of double cantilever anti-vibration structures 3 are connected to the same position of the slender structure 4 through the fixing assembly 1.

[0041] In other embodiments, when multiple groups of double cantilever anti-vibration structures 3 only need to control the in-plane vibration of the slender structure 4 or the in-plane vibration is mainly controlled, multiple groups of double cantilever anti-vibration structures 3 can also be evenly arranged along the circumference of the slender structure 4 to form one or more groups of cantilever anti-vibration units, and more than two groups of cantilever anti-vibration units are arranged along the axial direction of the slender structure 4. For example, the double cantilever anti-vibration structures 3 can be arranged in three groups, and the three groups of double cantilever anti-vibration structures 3 can be evenly arranged along the circumference of the slender structure 4, and the angles between the three groups of double cantilever anti-vibration structures 3 are 60°; if the double cantilever anti-vibration structures 3 can be arranged in six groups, three groups of double cantilever anti-vibration structures 3 can be evenly arranged along the circumference of the slender structure 4 to form two groups of cantilever anti-vibration units, and the two groups of cantilever anti-vibration units are arranged along the axial direction of the slender structure 4.

[0042] like Figure 4As shown, when the vibration of the slender structure 4 is small or the damping required is small, the damping assembly 2 can be arranged inside the cantilever rod 31, the damping assembly 2 includes a strip elastic damping member 21, the cantilever rod 31 includes a strip rigidity member 311, the strip elastic damping member 21 and the strip rigidity member 311 are arranged alternately in an array to form a composite cantilever rod having both rigidity and damping energy dissipation functions; at the same time, the mass block 32 is a solid mass block. It can achieve the damping and vibration reduction requirements of the slender structure 4 in a simple structure and compact space, greatly reducing the complexity of the existing vibration reduction structure.

[0043] In this embodiment, the strip elastic damping member 21 is a rubber rod or a polyester fiber rod, and the strip rigidity member 311 is a metal rod. The strip elastic damping member 21 and the strip rigidity member 311 are integrally formed or assembled and connected to further ensure that while providing the rigidity of the double cantilever anti-vibration structure 3, a certain damping is provided to the slender structure 4. In this embodiment, the shape of the cantilever rod 31 can be set according to specific needs, such as the cantilever rod 31 in the shape of a cylinder or a square column.

[0044] like Figure 5 As shown, when the slender structure 4 vibrates greatly or the damping required to be provided is large, the damping assembly 2 can be arranged inside 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 an installation cavity, the eddy current damper 22 is installed in the installation cavity, and 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.

[0045] In this embodiment, the eddy current damper 22 includes a damping mass block 221, a spring assembly 222 and a damping unit. The damping mass block 221 is mounted on the bottom plate of the mass support frame 321 through the spring assembly 222, so that the damping mass block 221 can swing in the horizontal direction when the inclined cable vibrates. The damping unit includes an energy-dissipating magnetic steel 223 and a conductor plate 224; the energy-dissipating magnetic steel 223 and the conductor plate 224 are arranged relative to each other, and the energy-dissipating magnetic steel 223 and the conductor plate 224 are arranged on the horizontal side and / or the upper and lower sides of the damping mass block 221, the energy-dissipating magnetic steel 223 is mounted on the damping mass block 221, and the conductor plate 224 is arranged on the inner surface of the mass support frame 321, and the projection of the energy-dissipating magnetic steel 223 when the damping mass block 221 swings is always located in the conductor plate 224. In other embodiments, the energy dissipation magnetic steel 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 magnetic steel 223 is disposed on the inner surface of the mass support frame 321 .

[0046] When the damping mass block 221 swings, the energy-consuming magnetic steel 223 and the conductor plate 224 generate relative motion. At this time, the conductor plate 224 cuts the magnetic flux lines and generates eddy current damping force. Under the eddy current damping force, the damping mass block 221 swings slower and slower, and the angle becomes smaller and smaller until it stops, so that the energy of the structure during vibration is finally converted into heat energy generated by eddy current heating, achieving the purpose of energy consumption and vibration reduction. In other embodiments, the energy-consuming magnetic steel 223 can also be a permanent magnet made of other materials.

[0047] 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 achieve the function of energy dissipation and vibration reduction of the damper.

[0048] When the slender structure 4 vibrates greatly or requires a large damping, the damping assembly 2 can be disposed inside the cantilever rod 31 and the mass block 32. The specific location of the damping assembly 2 can be adjusted according to the vibration reduction requirements of the slender structure 4 and the actual situation, and is not limited here.

[0049] In this embodiment, the slender structure 4 has a small vibration or requires a small damping ratio, and 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 to be provided 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 to be provided is large, and the damping ratio of the double cantilever anti-vibration structure 3 can be g 0 is greater than the third preset value as the judgment standard. 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. The values ​​of the first preset value, the second preset value and the third preset value can be selected according to the actual vibration reduction requirements of the slender structure 4. In other embodiments, the judgment standard of the vibration and damping size of the slender structure 4 can also be adopted in other ways.

[0050] 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 anti-vibration structure 3 on the slender structure 4 .

[0051] Furthermore, the fixing assembly 1 includes a connecting rod 11 and a mounting member 12 which are connected to each other. The connecting rod 11 is arranged at the axial center position of the cantilever rod 31. The mounting member 12 is provided with a mounting surface 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 so as to effectively fix the double cantilever vibration isolation structure 3 to the slender structure 4.

[0052] In this embodiment, the mounting member 12 is a clamp to facilitate the adjustment and replacement of the double 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.

[0053] In this embodiment, the mass block 32 is a metal mass block, and the metal mass block can be selected from different metal materials according to the weight and volume requirements, such as a metal block of steel, aluminum alloy, stainless steel, lead block, etc. At the same time, the shape of the mass block 32 can be square, circular, elliptical, conical, etc., to ensure that the mass block 32 meets the preset mass standard. In this embodiment, when the damping component 2 is arranged inside the mass block 32, the cantilever rod 31 can be set as a metal cantilever rod, such as a metal cantilever rod 31 made of steel, aluminum alloy, steel wire rope, etc.

[0054] Figure 8 The vibration control method of the vibration control device of 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 the 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 n The length of the slender structure 4 determines the installation position of the double cantilever anti-vibration structure 3 on the slender structure 4. This realizes the optimal configuration of the vibration control device, so that the damping and vibration reduction effect of the device can be maximized.

[0055] 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 vibration isolation 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, effective vibration reduction of slender structures 4 of different types and vibration reduction requirements can be easily and quickly achieved through parameter adjustment.

[0056] See also Figure 8 The vibration control method of the slender structure of this embodiment specifically includes the following steps: 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 fn , modal damping of slender structure 4 g n , modal mass of slender structure 4 m n and the control mode order n .

[0057] 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.

[0058] Step 2) Determine the configuration parameters of the vibration control device, the configuration parameters of the vibration control device include the mass of the 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 vibration isolation structure 3 g 0.

[0059] Among them, the mass of 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 : , 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 is, the m 0 The smaller the corresponding m The smaller the value, the smaller the modal mass of the slender structure 4. m n The larger the mass 32 required, the m 0 The larger the value, the corresponding m The larger the value, the greater the preset coefficient is determined according to the mass size of the mass block 32. m.

[0060] In this embodiment, the rigidity 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 vibration isolation 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 frequencies of the slender structure 4 f n Optionally, the stiffness of the cantilever rod 31 is calculated and determined k 0 The calculation formula is: , 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 Combining modal damping of slender structures 4 g n The optimal frequency ratio of the slender structure 4 is obtained , 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 vibration isolation 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 optimum 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 .

[0061] It can be seen that the rigidity 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 different modal masses, modal damping and modal frequencies of the slender structure 4. The stiffness of the cantilever rod 31 is k 0 The damping and vibration reduction requirements of different slender structures 4 can be met, which improves energy utilization, saves costs, and has fast calculation speed and high accuracy.

[0062] 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.

[0063] When the double cantilever anti-vibration structure 3 is provided in at least two groups, the mass blocks 32 of at least two groups of double cantilever anti-vibration structures 3 are m i The quality of the single double cantilever vibration isolation structure is 3 m 0 The relationship is mi= m 0 / n ,in, n is the number of sets of the 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 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: , in, E is the elastic modulus of the cantilever rod 31.

[0064] 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 according to the material of the cantilever rod 31 and the existing experimental method. It can be obtained according to the properties of the cantilever rod 31. At the same time, the section inertia moment of the cantilever rod 31 in the vibration direction is Section 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 is a cantilever rod 31 with a circular or square cross section, 1= 2.

[0065] 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 according to actual circumstances.

[0066] 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: , 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 coefficients 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 vibration isolation structure 3 g 0 determines 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.

[0067] 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 arrangement position and selection of the damping component 2 in the double cantilever anti-vibration structure 3, such as the damping ratio of the double cantilever anti-vibration structure 3 required 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 double cantilever anti-vibration structure 3 is required g 0 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 double cantilever anti-vibration structure 3 required 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 disposed 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.

[0068] In a specific embodiment, the value range of the first preset value can be taken when the preset damping ratio is less than or equal to 1%, the value range of the second preset value can be taken when the preset damping ratio is greater than 1% but less than or equal to 5%, and the value range of the third preset value can be taken when the preset damping ratio is greater than 5%. In other embodiments, the value range can be adjusted according to the actual slender structure 4.

[0069] Step 3) Determine the maximum displacement point of the modal vibration shape of the slender structure 4 according to 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.

[0070] Specifically, 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 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 double cantilever anti-vibration structure 3 is set at L / 2n, that is, the installation position of the slender structure 4 is determined. If the control modal order n=1, the double cantilever anti-vibration structure 3 is set at L / 2 of the slender structure 4, so that the double cantilever anti-vibration structure 3 is set at the maximum displacement of the modal vibration shape, thereby maximizing the damping and vibration reduction effect of the slender structure 4.

[0071] Furthermore, the number of dual cantilever vibration isolation 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 vibration isolation 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 7 As shown, two or more double cantilever anti-vibration structures 3 may be used accordingly. In other embodiments, a combination of the double cantilever anti-vibration structure 3 and other ground-type dampers may also be used. The specific combination may be set according to the actual frequency band vibration requirements.

[0072] At this time, the installation position of the second double cantilever vibration isolation structure 3 (or ground-type 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, when 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 mass block 32 at the second location 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 vibration isolation structure 3 g 0 is also determined according to the above method for determining the configuration parameters of the double cantilever anti-vibration structure.

[0073] Step 4), the slender structure 4 is configured according to the determined configuration parameters of the double cantilever vibration isolation structure 3 and the installation position of the double cantilever vibration isolation structure 3 at the installation position of the slender structure 4, and vibration control is achieved by the configured slender structure 4. It can be seen that the present invention can conveniently and quickly achieve effective vibration reduction of slender structures 4 of different types and vibration reduction requirements through parameter adjustment.

[0074] 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 superior vibration order of the 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 is 0.24 m, and the damping ratio of the double cantilever anti-vibration structure 3 is g 0 is 1.5%, and the double cantilever anti-vibration structure 3 is configured and installed according to the above value.

[0075] Figure 9 to Figure 11 The figure shows the vibration reduction effect comparison before and after installing the double cantilever vibration isolation structure 3 of a specific embodiment. Specifically: like Figure 9 It is a comparison diagram 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 (b) is a comparison diagram of the relationship between the RMS distribution and the 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 RMS distribution and distribution ratio of the out-of-plane acceleration of the cable 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 2The 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.

[0076] like Figure 10 The figure is a comparison of the annual minute average power spectrum results of the cable with and without the double cantilever anti-vibration structure 3 (i.e., anti-vibration hammer) obtained in the specific embodiment. Without the anti-vibration hammer, the cable has a very obvious outstanding vibration frequency near 10.52 Hz, indicating that the wind-induced vibration phenomenon of the cable is very obvious. With the anti-vibration hammer, the cable no longer has an obvious outstanding vibration frequency, and the one-minute average acceleration power spectrum peak of the cable in the 45th order 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.

[0077] like Figure 11 : is a comparison diagram 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 without double cantilever vibration isolation structure 3 and the wind speed. Figure 11 (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-proof structure 3 and the wind speed.

[0078] from Figure 11 As can be seen in (a), when there is no double cantilever vibration isolation structure 3, the vibration of the 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 root mean square value of the vibration acceleration of the inclined cable 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 It can be seen from (b) that 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 an obvious "wind speed locking" phenomenon unique to vortex-induced vibration. It can be seen that the double-cantilever anti-vibration structure 3 of this specific embodiment completely suppresses the high-order vortex-induced vibration of the inclined cable, and the vortex-induced vibration phenomenon is completely controlled.

[0079] It can be seen that the specific embodiments of the present invention effectively reduce the vibration response of the cable-stayed cable, thereby better protecting the cable-stayed 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.

[0080] Although the present invention has been described with reference to preferred embodiments, various modifications may be made thereto and parts thereof may be replaced by equivalents without departing from the scope of the present invention. In particular, the various technical features mentioned in the various embodiments may be combined in any manner as long as there are no structural conflicts. The present invention is not limited to the specific embodiments disclosed herein, but includes all technical solutions falling within the scope of the claims.

Claims

1. A vibration control device of a slender structure, characterized in that: It includes a fixing component, a damping component, a cantilever rod for adjusting the vibration frequency by stiffness, and two mass blocks for adjusting the vibration frequency by mass, wherein 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 component is arranged inside the cantilever rod and / or the mass block; the double cantilever vibration isolation structure is installed on a slender structure through the fixing component, and the fixing component is connected between the cantilever rod and the slender structure.

2. The vibration control device of the elongated structure according to claim 1, characterized in that: When the required damping ratio of the double cantilever vibration isolation structure is ζ 0 is less than the first preset value, the damping assembly is arranged in the cantilever rod; when the required damping ratio of the double cantilever vibration isolation structure is ζ When 0 is greater than a second preset value, the damping component is arranged in the mass block; When the required damping ratio of the double cantilever vibration isolation structure is ζ 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.

3. The vibration control device of the elongated structure according to claim 2, characterized in that: 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.

4. The vibration control device of the elongated structure according to claim 2, characterized in that: 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, wherein 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-absorbing magnetic steel and a conductor plate arranged relatively, wherein the energy-absorbing 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, which is symmetrically arranged on the horizontal side of the damping mass block.

5. A vibration control device for a slender structure according to any one of claims 1 to 4, characterized in that: When both the in-plane vibration and the out-of-plane vibration of the slender structure need to be controlled simultaneously, the cantilever rod is arranged in parallel with the slender structure; when only the in-plane vibration of the slender structure needs to be controlled or the in-plane vibration is mainly controlled, the cantilever rod is arranged perpendicular to the slender structure.

6. The vibration control device for a slender structure according to claim 5, characterized in that When the mass of a single mass block of the double cantilever vibration isolation structure is greater than a preset mass value or the installation space of the double cantilever vibration isolation structure is limited, the double cantilever vibration isolation structure is provided in at least two groups, and more than two groups of the double 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.

7. A vibration control method using the vibration control device of the slender structure according to any one of claims 1 to 6, characterized in that: include: Acquire 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 ζ n , modal mass m n and the control mode order n ; Determine the configuration parameters of the double cantilever vibration isolation structure: According to the modal mass of the slender structure m n 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 ζ n and the modal frequencies of the slender structure f n Determine; According to the stiffness of the cantilever rod k 0 and the section moment of inertia of the cantilever in the vibration direction Determine the length of the cantilever rod l ; According to the modal damping of the slender structure ζ n Determine the damping ratio of the double cantilever vibration isolation structure ζ 0; According to the control mode 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 the installation position of the double cantilever anti-vibration 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.

8. The vibration control method according to claim 7, characterized in that: 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 = μ × m n ,in, μ 0.2%≤ μ Preset coefficient within the range of ≤5%; 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 μ , the modal damping of the slender structure ζ 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: 。 9. The vibration control method according to claim 8, characterized in that: According to the stiffness of the cantilever rod k 0 and the section moment of inertia of the cantilever in the vibration direction Determine the length of the cantilever rod l , including: calculating the length of the cantilever rod according to the following expression l : ， in, E is the elastic modulus of the cantilever rod; According to the modal damping of the slender structure ζ n Calculate the damping ratio of the double cantilever vibration isolation structure ζ 0, including: calculating the damping ratio of the double cantilever anti-vibration structure according to the following expression ζ 0: ， in, μ 0.2%≤ μ Preset coefficient within the range of ≤5%.

10. The vibration control method according to claim 7, characterized in that: Also includes a damping ratio according to the double cantilever vibration isolation structure ζ 0 determines the setting position of the damping unit, wherein when the damping ratio of the double cantilever vibration isolation structure is ζ 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 ζ 0 is greater than the second preset value, the damping component is configured as 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 ζ 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.

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