External negative stiffness damping system for in-plane and out-of-plane vibration control of cable

By designing an external negative stiffness damping system, combined with dampers and negative stiffness components, the problem of excessively high installation height of bridge long cable dampers was solved, achieving effective control of internal and external vibrations of the cable surface and improving damping effect, while facilitating adjustment and maintenance.

CN115976941BActive Publication Date: 2026-04-21TONGJI UNIV
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Patent Information

Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
TONGJI UNIV
Filing Date
2023-02-24
Publication Date
2026-04-21

AI Technical Summary

Technical Problem

The dampers on existing bridge cables are installed at excessive heights, causing difficulties in installation, inspection, and maintenance. Furthermore, existing technologies lack effective solutions for enhancing cable damping.

Method used

Design an external negative stiffness damping system for controlling the vibration inside and outside the cable surface, including a column, a beam, a negative stiffness component, a damper, and a connecting rod. By combining the negative stiffness component with the damper, negative stiffness and damping effects are provided, and the installation height of the damper is reduced.

Benefits of technology

It achieves effective control of the vibration inside and outside the cable surface, improves the damping effect, reduces the installation height of the damper, facilitates adjustment and maintenance, and has aesthetic appeal and good space utilization.

✦ Generated by Eureka AI based on patent content.

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Abstract

This invention relates to the field of structural engineering technology, and in particular to an external negative stiffness damping system for controlling in-plane and out-of-plane vibration of a cable. The system, used to control the vibration of the cable body, includes a column, a crossbeam, a negative stiffness component, dampers, and a connecting rod. The crossbeam is positioned above the column, and the dampers are located on the side of the crossbeam away from the column. The dampers include a first damper and a second damper. One end of the first damper is connected to the crossbeam via a first hinge, and the other end is connected to the cable body. One end of the second damper is connected to the crossbeam via a second hinge, and the other end is connected to the cable body. The negative stiffness component is positioned between the first and second hinges. One end of the connecting rod is connected to the negative stiffness component, and the other end is connected to the cable body. This external negative stiffness damping system provides negative stiffness and damping effects when the cable vibrates in both in-plane and out-of-plane directions.
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Description

Technical Field

[0001] This invention relates to the field of structural engineering technology, and in particular to an external negative stiffness damping system for controlling the vibration inside and outside the cable plane. Background Technology

[0002] Cable-stayed structures are widely used in bridge engineering, long-span and tall building structures, and are key components of large structures, characterized by large axial forces and long lengths. With the development of structural and bridge engineering, the span of cable-stayed structures continues to break records. For example, the longest cable of the Sutong Yangtze River Highway Bridge, which opened in 2009, exceeded 500m for the first time, reaching 577m. The cable stays of the Changtai Yangtze River Highway-Railway Bridge and the Ma'anshan Highway-Railway Yangtze River Bridge, both under construction, will exceed 600m for the first time. The Dubai Gulf Tower, under construction, uses cables exceeding 700m in length. Ultra-long cables have low lateral stiffness and low self-damping, making them prone to in-plane (the vertical plane in which the cable lies) and out-of-plane (perpendicular to the vertical plane in which the cable lies) vibrations, requiring vibration control schemes combining aerodynamic measures and dampers.

[0003] Most existing bridges with long cables employ external dampers. Commonly used dampers include viscous dampers, viscous shear dampers, high-damping rubber dampers, friction dampers, magnetorheological dampers, and eddy current dampers. The vibration reduction effect of a damper on the cable is mainly measured by its additional damping, which is primarily limited by its installation location. The damping effect increases with the ratio of the distance between the damper and the nearest cable anchor point to the total cable length; generally, the damper is installed at 2-3% of the cable length. As the cable length increases, the actual installation height of the damper also increases. For example, the damper installation height of a 597m cable-stayed bridge exceeds 7m, posing a series of challenges for installation, inspection, and maintenance. To support the development of longer cable-stayed bridges, researching technologies to enhance the additional damping effect of cable-damper systems and reduce the installation height of dampers is of significant engineering importance.

[0004] Existing research has proposed some theoretical methods to improve the effect of dampers based on inertial containers and negative stiffness mechanisms, but there is still a lack of effective and practical cable damping enhancement technology solutions. Summary of the Invention

[0005] To address the aforementioned problems, the present invention aims to provide an external negative stiffness damping system for controlling the vibration inside and outside the cable surface, offering a new solution for controlling the vibration inside and outside the cable surface and effectively reducing the installation height of the damper.

[0006] The objective of this invention can be achieved through the following technical solutions:

[0007] This invention provides an external negative stiffness damping system for controlling the vibration of a cable's inner and outer surfaces. The system comprises a column, a crossbeam, a negative stiffness assembly, a damper, and a connecting rod.

[0008] The crossbeam is positioned above the column, and the damper is positioned on the side of the crossbeam away from the column. It includes a first damper and a second damper. One end of the first damper is connected to the crossbeam via a first hinge, and the other end is connected to the cable body. One end of the second damper is connected to the crossbeam via a second hinge, and the other end is connected to the cable body. The negative stiffness component is positioned between the first hinge and the second hinge.

[0009] The negative stiffness assembly includes a magnifying lever, a fixed plate, a compression spring, a guide rod, and a guide tube; one end of the magnifying lever is connected to a first hinge lug, and the other end is connected to the fixed plate.

[0010] One end of the guide rod is connected to the second hinge lug. The guide tube is sleeved on the outer surface of the guide rod and is movably connected to the guide rod. The compression spring is sleeved on the outside of the guide rod, with one end connected to the fixed plate and the other end connected to the guide tube.

[0011] One end of the connecting rod is connected to the amplifying lever, and the other end is connected to the cable body.

[0012] In this invention, when the cable body is not vibrating, the central axis of the connecting rod along its length is perpendicular to the central axis of the amplifying lever along its length.

[0013] When the main cable vibrates vertically (in-plane) and horizontally (out-of-plane) in a direction perpendicular to the vertical plane of the cable under the action of dynamic loads such as wind, the connecting rod drives the amplifying lever to rotate around the ball joint on the first hinge, while the compression spring rotates around the ball joint on the second hinge. The preload inside the compression spring generates a thrust perpendicular to the axis of the crossbeam, which generates a force to push the main cable to continue moving, thus achieving a negative stiffness effect.

[0014] When the cable body vibrates in-plane or out-of-plane, it causes the damper to elongate or compress, generating damping force.

[0015] In this invention, a negative stiffness component is disposed between the first hinge and the second hinge. The negative stiffness component and the damper form a parallel system to enhance the damping of the overall vibration of the cable and achieve vibration control.

[0016] In one embodiment of the present invention, when the guide tube is close to the fixed plate, the compression spring is compressed; the length and initial pressure of the compression spring can be adjusted by adjusting the distance between the first hinge and the second hinge.

[0017] In one embodiment of the present invention, the amplifying lever is provided with a central hole, and the connecting rod is connected to the amplifying lever through the central hole.

[0018] In one embodiment of the invention, the intermediate hole is located directly above the middle position of the crossbeam along its length.

[0019] In one embodiment of the present invention, a cable clamp is provided on the outer surface of the cable body, the cable clamp including two half-clips, the two half-clips being fixed by a bolt assembly.

[0020] In one embodiment of the present invention, the damper is connected to the half-clip clamp via a ball joint, and the connecting rod is connected to the half-clip clamp via a ball joint.

[0021] In one embodiment of the present invention, the amplifying lever is connected to the first hinge and the fixing plate respectively by ball joints, and the guide rod is connected to the second hinge by ball joints.

[0022] In one embodiment of the present invention, the central axis of the crossbeam along its length is perpendicular to the central axis of the column along its height and perpendicular to the vertical plane where the cable body is located.

[0023] In one embodiment of the present invention, the damper is selected from one of a viscous damper, a viscous shear damper, or a friction damper.

[0024] In one embodiment of the present invention, the central axis of the damper is perpendicular to the central axis of the cable body, and the angle between the damper and the vertical plane in which the cable body is located is 10° to 80°.

[0025] In one embodiment of the invention, the column is located at the midpoint of the crossbeam along its length.

[0026] In one embodiment of the present invention, the stiffness coefficient of the negative stiffness component during in-plane vibration of the cable body is... k ns (Unit: N / m) Approximately determined by the following formula

[0027] ,

[0028] in The initial pressure of the compression spring (unit: N). The length of the compressed spring in its initial position (unit: m). To enlarge the length of the lever (unit: m). The distance between the connection point of the connecting rod and the amplifying lever and the connection point of the amplifying lever and the second hinge (unit: m);

[0029] Considering the stiffness coefficient of the connecting rod is kAt that time, the negative stiffness coefficient of the negative stiffness component for in-plane vibration of the cable is:

[0030] .

[0031] Compared with the prior art, the present invention has the following beneficial effects:

[0032] (1) The present invention proposes an external negative stiffness damping system for controlling the in-plane and out-of-plane vibration of a cable. When the cable vibrates in both in-plane and out-of-plane directions, it provides negative stiffness and damping effect. Compared with the existing damper scheme, the damping effect is improved by negative stiffness, or the installation height of the damper is reduced when a given damping requirement is met.

[0033] (2) The negative stiffness component of the external negative stiffness damping system for cable surface vibration control proposed in this invention is combined with the existing damper support beam to form an integral whole with the damper system, which has good aesthetics.

[0034] (3) The present invention proposes an external negative stiffness damping system for controlling the vibration inside and outside of the cable surface. The initial length of the compression spring can be adjusted by designing an amplification lever to meet the vibration control requirements of different cables or cables at different stages of installation and use.

[0035] (4) The present invention proposes an external negative stiffness damping system for controlling the vibration inside and outside of the cable surface. The negative stiffness component is set outside the crossbeam, which is convenient for adjustment, maintenance and repair. There is enough space to set a long amplification lever to improve the negative stiffness effect. Attached Figure Description

[0036] Figure 1 A front view of an externally applied negative stiffness damping system for controlling in-situ vibration of a cable-stayed plane;

[0037] Figure 2 A side view of an externally applied negative stiffness damping system for controlling in-situ vibration of a cable-stayed plane;

[0038] Figure 3 This is a mechanical analysis diagram of a negative stiffness component in an external negative stiffness damping system for controlling in-plane and out-of-plane vibration of a suspension cable (the cable is not vibrating).

[0039] Figure 4 This is a damping analysis model of an external negative stiffness damping system for controlling the vibration inside and outside the cable plane, and the cable as a whole;

[0040] Figure 5 The cable damping improvement effect before and after using an external negative stiffness damping system in Example 1;

[0041] The following are the labels in the diagram: 1. Cable body; 2. Crossbeam; 3. Column; 4. Damper; 5. Connecting rod; 6. First hinge; 7. Second hinge; 8. Enlarging lever; 9. Intermediate hole; 10. Fixing plate; 11. Compression spring; 12. Guide rod; 13. Guide tube; 14. Half cable clamp; 15. Bolt assembly. Detailed Implementation

[0042] This invention provides an external negative stiffness damping system for controlling the vibration of a cable's inner and outer surfaces. The system comprises a column, a crossbeam, a negative stiffness assembly, a damper, and a connecting rod.

[0043] The crossbeam is positioned above the column, and the damper is positioned on the side of the crossbeam away from the column. It includes a first damper and a second damper. One end of the first damper is connected to the crossbeam via a first hinge, and the other end is connected to the cable body. One end of the second damper is connected to the crossbeam via a second hinge, and the other end is connected to the cable body. The negative stiffness component is positioned between the first hinge and the second hinge.

[0044] The negative stiffness assembly includes a magnifying lever, a fixed plate, a compression spring, a guide rod, and a guide tube; one end of the magnifying lever is connected to a first hinge lug, and the other end is connected to the fixed plate.

[0045] One end of the guide rod is connected to the second hinge lug. The guide tube is sleeved on the outer surface of the guide rod and is movably connected to the guide rod. The compression spring is sleeved on the outside of the guide rod, with one end connected to the fixed plate and the other end connected to the guide tube.

[0046] One end of the connecting rod is connected to the amplifying lever, and the other end is connected to the cable body.

[0047] In this invention, when the cable body is not vibrating, the central axis of the connecting rod along its length is perpendicular to the central axis of the amplifying lever along its length.

[0048] When the main cable vibrates vertically (in-plane) and horizontally (out-of-plane) in a direction perpendicular to the vertical plane of the cable under the action of dynamic loads such as wind, the connecting rod drives the amplifying lever to rotate around the ball joint on the first hinge, while the compression spring rotates around the ball joint on the second hinge. The preload inside the compression spring generates a thrust perpendicular to the axis of the crossbeam, which generates a force to push the main cable to continue moving, thus achieving a negative stiffness effect.

[0049] When the cable body vibrates in-plane or out-of-plane, it causes the damper to elongate or compress, generating damping force.

[0050] In this invention, a negative stiffness component is disposed between the first hinge and the second hinge. The negative stiffness component and the damper form a parallel system to enhance the damping of the overall vibration of the cable and achieve vibration control.

[0051] In one embodiment of the present invention, when the guide tube is close to the fixed plate, the compression spring is compressed; the length and initial pressure of the compression spring can be adjusted by adjusting the distance between the first hinge and the second hinge.

[0052] In one embodiment of the present invention, the amplifying lever is provided with a central hole, and the connecting rod is connected to the amplifying lever through the central hole.

[0053] In one embodiment of the invention, the intermediate hole is located directly above the middle position of the crossbeam along its length.

[0054] In one embodiment of the present invention, a cable clamp is provided on the outer surface of the cable body, the cable clamp including two half-clips, the two half-clips being fixed by a bolt assembly.

[0055] In one embodiment of the present invention, the damper is connected to the half-clip clamp via a ball joint, and the connecting rod is connected to the half-clip clamp via a ball joint.

[0056] In one embodiment of the present invention, the amplifying lever is connected to the first hinge and the fixing plate respectively by ball joints, and the guide rod is connected to the second hinge by ball joints.

[0057] In one embodiment of the present invention, the central axis of the crossbeam along its length is perpendicular to the central axis of the column along its height and perpendicular to the vertical plane where the cable body is located.

[0058] In one embodiment of the present invention, the damper is selected from one of a viscous damper, a viscous shear damper, or a friction damper.

[0059] In one embodiment of the present invention, the central axis of the damper is perpendicular to the central axis of the cable body, and the angle between the damper and the vertical plane in which the cable body is located is 10° to 80°.

[0060] In one embodiment of the invention, the column is located at the midpoint of the crossbeam along its length.

[0061] In one embodiment of the present invention, the stiffness coefficient of the negative stiffness component during in-plane vibration of the cable body is... k ns (Unit: N / m) Approximately determined by the following formula

[0062] ,

[0063] in The initial pressure of the compression spring (unit: N). The length of the compressed spring in its initial position (unit: m). To enlarge the length of the lever (unit: m). The distance between the connection point of the connecting rod and the amplifying lever and the connection point of the amplifying lever and the second hinge (unit: m);

[0064] Considering the stiffness coefficient of the connecting rod is k At that time, the negative stiffness coefficient of the negative stiffness component for in-plane vibration of the cable is:

[0065] .

[0066] The present invention will now be described in detail with reference to the accompanying drawings and specific embodiments.

[0067] In the description of this invention, unless otherwise explicitly specified and limited, the terms "connected," "linked," and "fixed" should be interpreted broadly. For example, they can refer to a fixed connection, a detachable connection, or an integral part; they can refer to a mechanical connection or an electrical connection; they can refer to a direct connection or an indirect connection through an intermediate medium; they can refer to the internal communication of two components or the interaction between two components. Those skilled in the art can understand the specific meaning of the above terms in this invention based on the specific circumstances.

[0068] In this invention, unless otherwise explicitly specified and limited, "above" or "below" the second feature can include direct contact between the first and second features, or contact between the first and second features through another feature between them. Furthermore, "above," "over," and "on top" of the second feature includes the first feature directly above or diagonally above the second feature, or simply indicates that the first feature is at a higher horizontal level than the second feature. "Below," "below," and "under" the second feature includes the first feature directly below or diagonally below the second feature, or simply indicates that the first feature is at a lower horizontal level than the second feature.

[0069] In the description of this embodiment, the terms "upper," "lower," "left," and "right," etc., refer to the orientation or positional relationship shown in the accompanying drawings. They are used only for ease of description and simplification of operation, and do not indicate or imply that the device or element referred to must have a specific orientation, or be constructed and operated in a specific orientation. Therefore, they should not be construed as limitations on the present invention. In addition, the terms "first" and "second" are used only for distinction in description and have no special meaning.

[0070] Example 1

[0071] This embodiment provides an external negative stiffness damping system for controlling the vibration inside and outside the cable surface, used to control the vibration of the cable body 1, such as... Figure 1 and Figure 2 As shown, it includes column 3, beam 2, negative stiffness assembly, damper 4, and connecting rod 5.

[0072] The outer surface of the cable body 1 is provided with cable clamps, each cable clamp including two half-clips 14, which are fixed by bolt assemblies 15. A crossbeam 2 is positioned above the column 3. A damper 4 is positioned on the side of the crossbeam 2 away from the column 3, including a first damper and a second damper. One end of the first damper is connected to the crossbeam 2 via a first hinge 6, and the other end is connected to the half-clip 14 via a ball joint. One end of the second damper is connected to the crossbeam 2 via a second hinge 7, and the other end is connected to the half-clip 14 via a ball joint. A negative stiffness assembly is positioned between the first hinge 6 and the second hinge 7. The negative stiffness assembly includes an amplifying lever 8, a fixed plate 10, a compression spring 11, a guide rod 12, and a guide tube 13. One end of the amplifying lever 8 is connected to the first hinge 6 via a ball joint, and the other end is connected to the fixed plate 10 via a ball joint. The guide rod 12... One end of the guide tube 12 is connected to the second hinge 7 via a ball joint. The guide tube 13 is sleeved on the outer surface of the guide rod 12 and is movably connected to the guide rod 12. The compression spring 11 is sleeved on the outside of the guide rod 12. One end of the compression spring 11 is connected to the fixed plate 10, and the other end is connected to the guide tube 13. The amplifying lever 8 is provided with a middle hole 9, which is located directly above the middle position of the crossbeam 2 along its length. One end of the link is connected to the amplifying lever 8 through the middle hole 9, and the other end is connected to the cable body 1. The column 3 is located at the middle position of the crossbeam 2 along its length. The central axis of the crossbeam 2 along its length is perpendicular to the central axis of the column 3 along its height and perpendicular to the vertical plane where the cable body 1 is located. The central axis of the damper 4 is perpendicular to the central axis of the cable body 1, and the angle between the damper 4 and the vertical plane where the cable body 1 is located is 10° to 80°.

[0073] Among them, the damper 4 is selected from one of the following: viscous damper, viscous shear damper, or friction damper.

[0074] In this embodiment, the negative stiffness component is disposed between the first hinge 6 and the second hinge 7. The negative stiffness component and the damper 4 form a parallel system to enhance the damping of the overall vibration of the cable and realize vibration control. When the guide tube 13 is close to the fixed plate 10, the compression spring 11 is compressed and shortened. By adjusting the distance between the first hinge 6 and the second hinge 7, the length and initial pressure of the compression spring 11 can be adjusted.

[0075] When the cable body 1 is not vibrating, the central axis of the connecting rod 5 along its length is perpendicular to the central axis of the amplifying lever 8 along its length.

[0076] When the cable body 1 vibrates vertically (in-plane) and horizontally (out-of-plane) in a direction perpendicular to the vertical plane where the cable body 1 is located under the action of dynamic loads such as wind, the connecting rod 5 drives the amplifying lever 8 to rotate around the ball joint on the second hinge 7. At the same time, the compression spring 11 rotates around the ball joint on the first hinge 6. The preload inside the compression spring 11 generates a thrust perpendicular to the axis of the crossbeam 2, which generates a force to push the cable body 1 to continue moving, thus achieving a negative stiffness effect.

[0077] When the cable body 1 experiences in-plane and out-of-plane vibrations, it causes the damper 4 to extend or compress, generating damping force.

[0078] like Figure 3 As shown, in the initial installation position (the cable is not vibrating). The initial pressure of the compression spring 11 (unit: N). The length of the compression spring 11 in its initial position (in meters). To enlarge the length of lever 8 (unit: m). The distance between the connection point of connecting rod 5 and amplifying lever 8 and the connection point of amplifying lever 8 and second hinge lug 7 (unit: m).

[0079] When the cable vibrates, the connecting rod 5 causes the amplifying lever 8 to deviate from its initial position, generating a force that propels the cable body to continue moving. When the cable body 1 vibrates in-plane and the connecting rod 5 is rigid, the stiffness coefficient of the negative stiffness component... k ns (Unit: N / m) Approximately determined by the following formula:

[0080] ,

[0081] The stiffness coefficient of the connecting rod 5 is k At that time, the negative stiffness coefficient of the component for in-plane vibration of the cable is:

[0082] ;

[0083] Design the dimensions of the negative stiffness component according to Table 1 below, considering that the stiffness of connecting rod 5 is infinite.

[0084] Table 1 shows the negative stiffness component coefficients in the embodiments.

[0085]

[0086] The cable parameters considered in this embodiment are shown in Table 2.

[0087] Table 2 Cable parameters in the embodiments

[0088]

[0089] A damper can be equivalently represented as a viscous unit (viscosity coefficient) without loss of generality. c d ) and a spring unit (stiffness coefficient) k d The parallel structure, in this embodiment, provides a negative stiffness damping system for controlling in-plane and out-of-plane vibrations of a cable, which also requires a spring unit with negative stiffness connected in parallel. The mathematical model of the cable after installing the vibration reduction system of this embodiment is as follows: Figure 4 As shown. Lassoddi n The damping of a first-order vibration can be calculated using the following formula:

[0090] ,

[0091] in,

[0092] .

[0093] Based on the negative stiffness component coefficients shown in Table 1 and the cable parameters in Table 2, the above formula can be used to analyze and adjust the damper coefficients to determine the maximum value achievable for the damping ratio of any first-order mode of the cable. In this embodiment, a viscous damper is considered, whose stiffness can be neglected, i.e. k d =0, see the analysis diagram. Figure 4 . Figure 5 Table 2 shows the effect of using the external negative stiffness damping system shown in Table 1 for the cables. It can be seen that the logarithmic decay rates (modal damping ratio × 2π) of the first to 13th orders are significantly improved. Among them, when the negative stiffness coefficient is -350kN / m, the first-order logarithmic decay rate is increased to twice that of the system without negative stiffness.

[0094] The above description of the embodiments is provided to enable those skilled in the art to understand and use the invention. It will be apparent to those skilled in the art that various modifications can be made to these embodiments, and the general principles described herein can be applied to other embodiments without inventive effort. Therefore, the present invention is not limited to the above embodiments, and any improvements and modifications made by those skilled in the art based on the interpretation of the present invention, without departing from the scope of the invention, should be within the protection scope of the present invention.

Claims

1. An external negative stiffness damping system for controlling the vibration of a cable body (1) with and without surface vibration, characterized in that, It includes columns (3), beams (2), negative stiffness components, dampers (4), and connecting rods (5). The crossbeam (2) is located above the column (3), and the damper (4) is located on the side of the crossbeam (2) away from the column (3). It includes a first damper and a second damper. One end of the first damper is connected to the crossbeam (2) through a first hinge (6), and the other end is connected to the cable body (1). One end of the second damper is connected to the crossbeam (2) through a second hinge (7), and the other end is connected to the cable body (1). The negative stiffness component is located between the first hinge (6) and the second hinge (7). The negative stiffness assembly includes an amplifying lever (8), a fixed plate (10), a compression spring (11), a guide rod (12), and a guide tube (13); one end of the amplifying lever (8) is connected to the first hinge (6), and the other end is connected to the fixed plate (10). One end of the guide rod (12) is connected to the second hinge (7). The guide tube (13) is sleeved on the outer surface of the guide rod (12) and is movably connected to the guide rod (12). The compression spring (11) is sleeved on the outside of the guide rod (12), with one end connected to the fixing plate (10) and the other end connected to the guide tube (13). One end of the connecting rod (5) is connected to the amplifying lever (8), and the other end is connected to the cable body (1).

2. The external negative stiffness damping system for controlling the vibration inside and outside of a cable surface according to claim 1, characterized in that, The amplifying lever (8) is provided with a central hole (9), and the connecting rod (5) is connected to the amplifying lever (8) through the central hole (9).

3. The external negative stiffness damping system for controlling the vibration inside and outside of a cable surface according to claim 2, characterized in that, The intermediate hole (9) is located directly above the middle position of the crossbeam (2) along its length.

4. The external negative stiffness damping system for controlling the vibration inside and outside of a cable surface according to claim 1, characterized in that, The outer surface of the cable body (1) is provided with a cable clamp, which includes two half cable clamps (14), and the two half cable clamps (14) are fixed by a bolt assembly (15).

5. The external negative stiffness damping system for controlling the vibration inside and outside of a cable surface according to claim 4, characterized in that, The damper (4) is connected to the half-clip (14) by a ball joint, and the connecting rod (5) is connected to the half-clip (14) by a ball joint.

6. The external negative stiffness damping system for controlling the vibration inside and outside of a cable surface according to claim 1, characterized in that, The amplifying lever (8) is connected to the first hinge (6) and the fixing plate (10) respectively by ball joints, and the guide rod (12) is connected to the second hinge (7) by ball joints.

7. The external negative stiffness damping system for controlling the vibration inside and outside the cable surface according to claim 1, characterized in that, The central axis of the crossbeam (2) along its length is perpendicular to the central axis of the column (3) along its height, and is perpendicular to the vertical plane where the cable body (1) is located.

8. The external negative stiffness damping system for controlling the vibration inside and outside of a cable surface according to claim 1, characterized in that, The damper (4) is selected from one of the following: viscous damper, viscous shear damper, or friction damper.

9. The external negative stiffness damping system for controlling the vibration inside and outside of a cable surface according to claim 1, characterized in that, The central axis of the damper (4) is perpendicular to the central axis of the cable body (1), and the angle between the damper (4) and the vertical plane where the cable body (1) is located is 10° to 80°.

10. The external negative stiffness damping system for controlling the vibration inside and outside of a cable surface according to claim 1, characterized in that, The column (3) is located at the middle position of the crossbeam (2) along its length.

Citation Information

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