CN116180566A - Built-in negative stiffness damping system for controlling internal and external vibration of inhaul cable surface - Google Patents

Built-in negative stiffness damping system for controlling internal and external vibration of inhaul cable surface Download PDF

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Publication number
CN116180566A
CN116180566A CN202310124989.6A CN202310124989A CN116180566A CN 116180566 A CN116180566 A CN 116180566A CN 202310124989 A CN202310124989 A CN 202310124989A CN 116180566 A CN116180566 A CN 116180566A
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cable
damper
negative stiffness
internal
end plate
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陈林
孙利民
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Tongji University
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Tongji University
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    • E—FIXED CONSTRUCTIONS
    • E01—CONSTRUCTION OF ROADS, RAILWAYS, OR BRIDGES
    • E01D—CONSTRUCTION OF BRIDGES, ELEVATED ROADWAYS OR VIADUCTS; ASSEMBLY OF BRIDGES
    • E01D19/00—Structural or constructional details of bridges
    • E—FIXED CONSTRUCTIONS
    • E01—CONSTRUCTION OF ROADS, RAILWAYS, OR BRIDGES
    • E01D—CONSTRUCTION OF BRIDGES, ELEVATED ROADWAYS OR VIADUCTS; ASSEMBLY OF BRIDGES
    • E01D19/00—Structural or constructional details of bridges
    • E01D19/16—Suspension cables; Cable clamps for suspension cables ; Pre- or post-stressed cables

Abstract

The invention relates to the technical field of structural engineering, in particular to a built-in negative stiffness damping system for controlling internal and external vibration of a guy cable surface, which is used for controlling vibration of a guy cable main body, and comprises a stand column, a cross beam, a negative stiffness device, a damper and a connecting rod, wherein the cross beam is arranged above the stand column, a first hole is arranged at the top end far away from the stand column, the damper is arranged at one side of the cross beam far away from the stand column and is connected with the guy cable main body, and the damper is symmetrically arranged along a vertical plane where the guy cable main body is arranged; the negative stiffness device is arranged inside the beam with the hollow inside and is connected with the inhaul cable body through a connecting rod. The built-in negative stiffness damping system for controlling the internal and external vibration of the inhaul cable surface provides negative stiffness and damping effect when the inhaul cable vibrates in two directions outside the inhaul cable surface.

Description

Built-in negative stiffness damping system for controlling internal and external vibration of inhaul cable surface
Technical Field
The invention relates to the technical field of structural engineering, in particular to a built-in negative stiffness damping system for controlling internal and external vibration of a guy cable surface.
Background
The inhaul cable has important application in large-span cable bearing bridges, such as cable-stayed bridges, suspension bridges, middle-lower-bearing arch bridges and the like. With the increase of bridge span, the length of the stay cable is increased, and the number of the stay cables used in the bridge is also increased, for example, the length of the longest stay cable of a first large-span cable-stayed bridge-Changtai Changjiang river public iron bridge in the world under construction reaches 630m, the length of the stay cable of a third-tower cable-nest-horse inter-city railway saddle mountain highway dual-purpose Changjiang river bridge under construction reaches 650m, and the number of stay cables used in the whole bridge exceeds 500. The stay cable is slender, has high axial stress and high rigidity, but has small transverse rigidity, and is easy to generate transverse vibration, including vibration in two directions of an in-plane (vertical plane of the cable) and an out-of-plane (horizontal aspect of a vertical stay cable axis). The fundamental frequency of vibration of the cable in two directions is low and distributed densely, and meanwhile, the damping of the cable is low, so that vibration with various forms and mechanisms is easy to occur under the action of loads such as wind, rain and vehicles. If the vibration of the bridge inhaul cable is light, the pedestrian is not safe, and the normal operation of the bridge is affected; the cable is easy to cause damage to protective structures including cable jackets, armcaps, waterproof seals and the like due to long-term vibration, accelerates corrosion and fatigue of steel wires, and finally can cause sudden fracture and failure of pull/slings, so that the safety of the whole bridge is endangered.
With the increase of the number of in-service cable structures, the length of the inhaul cable is continuously increased, meanwhile, the wind environment is deteriorated, the service life of some bridges is prolonged, and the vibration control of the inhaul cable is a key problem for bridge construction and safe operation. The existing long inhaul cables can be provided with dampers to lift the damping of the inhaul cables to realize vibration control. Various types of dampers have been used in damping of cable structures, including viscous shear dampers, viscous dampers, friction dampers, rubber dampers, eddy current dampers, magnetorheological dampers, and the like. The damping effect of the dampers is in direct proportion to the ratio of the distance between the installation position of the dampers and the similar cable anchoring point to the total length of the cable, and the installation position of the dampers needs to be heightened to meet the damping requirement along with the increase of the length of the cable; meanwhile, the existing cable stayed bridge inhaul cable adopts an anchoring structure of an anchor plate on a beam, the installation height of a damper is further increased, the installation height of a cable stayed-suspended cable mixed system bridge inhaul cable damper of turkish is more than 7m, and a series of problems of installation, detection and maintenance are caused by the overlarge installation height, so that the attractive appearance of the bridge is influenced. Therefore, the development of the damping effect of the improved damper has important engineering significance for overcoming the limit of the mounting height of the damper on the damping effect.
The control of the internal and external vibration of the inhaul cable surface in the engineering structure still has a urgent need to solve the problem, the existing damper has been applied, but the problems of large installation height and insufficient long cable damping promotion exist, and an effective and practical inhaul cable damping enhancement technology is not yet available.
Disclosure of Invention
In order to solve the problems, the invention aims to provide a built-in negative stiffness damping system for controlling the internal and external vibration of a guy cable surface, which provides a new scheme for controlling the internal and external vibration of the guy cable surface and effectively reduces the installation height of a damper.
The aim of the invention can be achieved by the following technical scheme:
the invention provides a built-in negative stiffness damping system for controlling the internal and external vibration of a guy cable surface, which is used for controlling the vibration of a guy cable main body (also called guy cable or cable for short), and comprises a stand column, a cross beam, a negative stiffness device, a damper and a connecting rod,
the negative stiffness device is arranged in a beam with a hollow inside, the beam is arranged above the upright post, a first hole is formed in the top end far away from the upright post, the damper is arranged on one side of the beam far away from the upright post and connected with the inhaul cable main body, and the damper is symmetrically arranged along the vertical plane where the inhaul cable main body is arranged;
the negative stiffness device comprises a first end plate, a second end plate, a first guide pipe, a second guide pipe, an amplifying lever, a fixing plate, a compression spring and a guide pipe; one end part of the first conduit is connected with the first end plate, the other end part of the first conduit is nested outside the second conduit, the end part of the second conduit far away from the first conduit is connected with one end part of the amplifying lever, and the end part of the amplifying lever far away from the second conduit is connected with the second end plate;
the fixed plate is arranged at one end of the second guide pipe close to the amplifying lever, the guide pipe is sleeved on the first guide pipe, the compression spring is sleeved on the first guide pipe and the second guide pipe, one end of the compression spring is connected with the fixed plate, and the other end of the compression spring is connected with the guide pipe; the first end plate and the second end plate are connected with the inner wall of the beam;
the amplifying lever is provided with a middle hole, the connecting rod penetrates through the first hole and is connected with the amplifying lever through the middle hole, and the end part, far away from the amplifying lever, of the connecting rod is connected with the inhaul cable body.
In one embodiment of the invention, the amplifying lever is connected to the second end plate by a ball joint, the first conduit is connected to the first end plate by a hinge lug, the second conduit is connected to the amplifying lever by a ball joint, and the amplifying lever is connected to the second end plate by a ball joint.
In the invention, when the inhaul cable main body does not vibrate, the central axis of the connecting rod along the length direction of the inhaul cable main body is vertical to the central axis of the amplifying lever along the length direction of the amplifying lever;
when the inhaul cable main body vibrates in the vertical direction (in-plane) and in the direction (out-of-plane) which is horizontally perpendicular to the vertical plane where the inhaul cable is located under the action of wind and other power loads, the amplifying lever is driven to rotate around the spherical hinge on the second end plate through the connecting rod, meanwhile, the compression spring rotates around the spherical hinge on the first end plate, the precompression in the compression spring generates thrust which is perpendicular to the axis direction of the cross beam, and force for pushing the inhaul cable main body to continue to move is generated, so that the negative stiffness effect is realized;
when the inhaul cable main body vibrates in the plane and out of the plane, the inhaul cable main body drives the damper to extend or compress to generate damping force.
In the invention, the negative stiffness device is arranged inside the cross beam of the supporting damper to form a whole; the negative stiffness device and the damper form a parallel system, so that the damping of the integral vibration of the inhaul cable is improved, and the vibration control is realized.
In one embodiment of the invention, the spring is compressed to shorten when the guide tube approaches the fixed plate; by adjusting the spacing between the first end plate and the second end plate, the length of the spring and the initial pressure can be adjusted.
In one embodiment of the invention, the cable main body is provided with a cable clamp on the outer surface, and the cable clamp comprises two half cable clamps which are fixed by a bolt sleeve.
In one embodiment of the invention, the damper is connected with the half cable clamp through a spherical hinge; the connecting rod is connected with the half cable clamp through a spherical hinge; the damper is connected with the cross beam through a spherical hinge.
In one embodiment of the invention, the first end plate outer surface is provided with first threads; the beam is provided with second threads matched with the first threads on the inner wall of the connecting part of the beam and the first end plate.
In one embodiment of the invention, the first end plate is screwed into the cross beam by means of the first thread cooperating with the second thread and is fixedly connected with the cross beam.
In one embodiment of the invention, a limit rubber ring is further arranged in the cross beam, and the outer surface of the limit rubber ring is connected with the inner wall of the cross beam and sleeved outside the fixing plate;
the limiting rubber ring is used for limiting the displacement of the fixing plate in the direction perpendicular to the axis of the fixing plate.
In one embodiment of the invention, the central axis of the cross beam along the length direction is perpendicular to the central axis of the upright post along the height direction, and is perpendicular to the vertical plane where the inhaul cable main body is located.
In one embodiment of the invention, the bottom of the upright is fixedly connected with a girder or other structure of the bridge, and supports a cross beam.
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.
In one embodiment of the invention, the central axis of the damper is perpendicular to the central axis of the inhaul cable main body, and the included angle between the central axis of the damper and the vertical plane of the inhaul cable main body is 10 degrees to 80 degrees.
In one embodiment of the invention, the stiffness coefficient k of the negative stiffness device when the main surface of the inhaul cable vibrates ns (Unit: N/m) approximately determined as follows
Figure BDA0004081860690000041
Wherein f 0 For initial compression of the spring (unit: N), l s For the length of the compression spring position in the initial position (unit: m), l is the length of the amplification lever (unit: m), l 1 The distance (unit: m) between the connecting rod and the connecting point of the amplifying lever and the connecting point of the second end plate is the distance between the connecting rod and the amplifying lever;
when the rigidity coefficient of the connecting rod is k, the negative rigidity coefficient of the negative rigidity device to the cable surface internal vibration is
Figure BDA0004081860690000042
Compared with the prior art, the invention has the following beneficial effects:
(1) According to the built-in negative stiffness damping system for controlling the internal and external vibration of the inhaul cable, when the inhaul cable vibrates in two directions outside the surface, negative stiffness and damping effect are provided, compared with the existing damper scheme, the negative stiffness is used for improving the damping effect, or the installation height of the damper is reduced when the given damping requirement is met;
(2) The negative stiffness device in the built-in negative stiffness damping system for controlling the internal and external vibration of the inhaul cable surface is arranged in the existing damper supporting cross beam, and forms a whole with the damper system, so that the negative stiffness device has good aesthetic property;
(3) According to the built-in negative stiffness damping system for controlling the internal and external vibration of the inhaul cable surface, the initial length of the compression spring can be adjusted through screwing in or screwing out the first end plate, and vibration control requirements of different inhaul cables or different stages of installation and use of the inhaul cable are met.
Drawings
FIG. 1 is a front view of a cable in-plane vibration controlled internal negative stiffness damping system;
FIG. 2 is a side view of a cable in-plane vibration controlled internal negative stiffness damping system;
FIG. 3 is a graphical representation of mechanical analysis of a negative stiffness device in a built-in negative stiffness damping system for controlling internal and external vibrations of a cable surface of a pull-sling (cable not vibrated);
FIG. 4 is a graphical representation of mechanical analysis of a negative stiffness device in a built-in negative stiffness damping system for controlling internal and external vibrations of a cable surface of a pull-sling (cable vibration);
FIG. 5 is a diagram of a damping analysis model of a built-in negative stiffness damping system for controlling internal and external vibrations of a cable surface of a pull sling and the whole cable;
FIG. 6 shows the cable damping lifting effect before and after the present technique is employed in example 1;
reference numerals in the drawings: 1. a column; 2. a cross beam; 3. a damper; 4. a connecting rod; 5. a cable body; 6. a first end plate; 7. a second end plate; 8. a first conduit; 9. a second conduit; 10. an amplifying lever; 11. a fixing plate; 12. a guide tube; 13. a compression spring; 14. a limit rubber ring; 15. a half cable clip; 16. a bolt set; 17. a first hole; 18. and a middle hole.
Detailed Description
The invention provides a built-in negative stiffness damping system for controlling internal and external vibration of a guy cable surface, which is used for controlling vibration of a guy cable main body and comprises a stand column, a cross beam, a negative stiffness device, a damper and a connecting rod,
the negative stiffness device is arranged in a beam with a hollow inside, the beam is arranged above the upright post, a first hole is formed in the top end far away from the upright post, the damper is arranged on one side of the beam far away from the upright post and connected with the inhaul cable main body, and the damper is symmetrically arranged along the vertical plane where the inhaul cable main body is arranged;
the negative stiffness device comprises a first end plate, a second end plate, a first guide pipe, a second guide pipe, an amplifying lever, a fixing plate, a compression spring and a guide pipe; one end part of the first conduit is connected with the first end plate, the other end part of the first conduit is nested outside the second conduit, the end part of the second conduit far away from the first conduit is connected with one end part of the amplifying lever, and the end part of the amplifying lever far away from the second conduit is connected with the second end plate;
the fixed plate is arranged at one end of the second guide pipe close to the amplifying lever, the guide pipe is sleeved on the first guide pipe, the compression spring is sleeved on the first guide pipe and the second guide pipe, one end of the compression spring is connected with the fixed plate, and the other end of the compression spring is connected with the guide pipe; the first end plate and the second end plate are connected with the inner wall of the beam;
the amplifying lever is provided with a middle hole, the connecting rod penetrates through the first hole and is connected with the amplifying lever through the middle hole, and the end part, far away from the amplifying lever, of the connecting rod is connected with the inhaul cable body.
In one embodiment of the invention, the amplifying lever is connected to the second end plate by a ball joint, the first conduit is connected to the first end plate by a hinge lug, the second conduit is connected to the amplifying lever by a ball joint, and the amplifying lever is connected to the second end plate by a ball joint.
In the invention, when the inhaul cable main body does not vibrate, the central axis of the connecting rod along the length direction of the inhaul cable main body is vertical to the central axis of the amplifying lever along the length direction of the amplifying lever;
when the inhaul cable main body vibrates in the vertical direction (in-plane) and in the direction (out-of-plane) which is horizontally perpendicular to the vertical plane where the inhaul cable is located under the action of wind and other power loads, the amplifying lever is driven to rotate around the spherical hinge on the second end plate through the connecting rod, meanwhile, the compression spring rotates around the spherical hinge on the first end plate, the precompression in the compression spring generates thrust which is perpendicular to the axis direction of the cross beam, and force for pushing the inhaul cable main body to continue to move is generated, so that the negative stiffness effect is realized;
when the inhaul cable main body vibrates in the plane and out of the plane, the inhaul cable main body drives the damper to extend or compress to generate damping force.
In the invention, the negative stiffness device is arranged inside the cross beam of the supporting damper to form a whole; the negative stiffness device and the damper form a parallel system, so that the damping of the integral vibration of the inhaul cable is improved, and the vibration control is realized.
In one embodiment of the invention, the spring is compressed to shorten when the guide tube approaches the fixed plate; by adjusting the spacing between the first end plate and the second end plate, the length of the spring and the initial pressure can be adjusted.
In one embodiment of the invention, the cable main body is provided with a cable clamp on the outer surface, and the cable clamp comprises two half cable clamps which are fixed by a bolt sleeve.
In one embodiment of the invention, the damper is connected with the half cable clamp through a spherical hinge; the connecting rod is connected with the half cable clamp through a spherical hinge; the damper is connected with the cross beam through a spherical hinge.
In one embodiment of the invention, the first end plate outer surface is provided with first threads; the beam is provided with second threads matched with the first threads on the inner wall of the connecting part of the beam and the first end plate.
In one embodiment of the invention, the first end plate is screwed into the cross beam by means of the first thread cooperating with the second thread and is fixedly connected with the cross beam.
In one embodiment of the invention, a limit rubber ring is further arranged in the cross beam, and the outer surface of the limit rubber ring is connected with the inner wall of the cross beam and sleeved outside the fixing plate;
the limiting rubber ring is used for limiting the displacement of the fixing plate in the direction perpendicular to the axis of the fixing plate.
In one embodiment of the invention, the central axis of the cross beam along the length direction is perpendicular to the central axis of the upright post along the height direction, and is perpendicular to the vertical plane where the inhaul cable main body is located.
In one embodiment of the invention, the bottom of the upright is fixedly connected with a girder or other structure of the bridge, and supports a cross beam.
In one embodiment of the invention, the damper is selected from one of viscous dampers, viscous shear dampers, or friction dampers.
In one embodiment of the invention, the central axis of the damper is perpendicular to the central axis of the inhaul cable main body, and the included angle between the central axis of the damper and the vertical plane of the inhaul cable main body is 10 degrees to 80 degrees.
In one embodiment of the invention, the stiffness coefficient k of the negative stiffness device when the main surface of the inhaul cable vibrates ns (Unit: N/m) approximately determined as follows
Figure BDA0004081860690000061
Wherein f 0 For initial compression of the spring (unit: N), l s For the length of the compression spring position in the initial position (unit: m), l is the length of the amplification lever (unit: m), l 1 The distance (unit: m) between the connecting rod and the connecting point of the amplifying lever and the connecting point of the second end plate is the distance between the connecting rod and the amplifying lever;
when the rigidity coefficient of the connecting rod is k, the negative rigidity coefficient of the negative rigidity device to the cable surface internal vibration is
Figure BDA0004081860690000062
The invention will now be described in detail with reference to the drawings and specific examples.
In the description of the present invention, unless explicitly stated and limited otherwise, the terms "connected," "connected," and "fixed" are to be construed broadly, and may be, for example, fixedly connected, detachably connected, or integrally formed; can be mechanically or electrically connected; can be directly connected or indirectly connected through an intermediate medium, and can be communicated with the inside of two elements or the interaction relationship of the two elements. The specific meaning of the above terms in the present invention will be understood in specific cases by those of ordinary skill in the art.
In the present invention, unless expressly stated or limited otherwise, a first feature "above" or "below" a second feature may include both the first and second features being in direct contact, as well as the first and second features not being in direct contact but being in contact with each other through additional features therebetween. Moreover, a first feature being "above," "over" and "on" a second feature includes the first feature being directly above and obliquely above the second feature, or simply indicating that the first feature is higher in level than the second feature. The first feature being "under", "below" and "beneath" the second feature includes the first feature being directly under and obliquely below the second feature, or simply means that the first feature is less level than the second feature.
In the description of the present embodiment, the terms "upper", "lower", "left", "right", and the like are orientation or positional relationships based on those shown in the drawings, merely for convenience of description and simplicity of operation, and do not indicate or imply that the apparatus or elements referred to must have a specific orientation, be constructed and operated in a specific orientation, and thus should not be construed as limiting the invention. Furthermore, the terms "first," "second," and the like, are used merely for distinguishing between descriptions and not for distinguishing between them.
Example 1
The embodiment provides a built-in negative stiffness damping system for controlling the internal and external vibration of a guy cable surface, which is used for controlling the vibration of a guy cable main body 5, and comprises a stand column 1, a cross beam 2, a negative stiffness device, a damper 3 and a connecting rod 4 as shown in figures 1-2,
the cross beam 2 is arranged above the upright post 1, a first hole 17 is formed in the top end far away from the upright post 1, the damper 3 is arranged on one side, far away from the upright post 1, of the cross beam 2, and is connected with the inhaul cable main body 5, and the damper 3 is symmetrically arranged along the vertical plane where the inhaul cable main body 5 is arranged;
the negative stiffness device is arranged inside the beam 2 with the hollow inside and comprises a first end plate 6, a second end plate 7, a first guide pipe 8, a second guide pipe 9, an amplifying lever 10, a fixed plate 11, a guide pipe 12 and a compression spring 13; one end part of the first conduit 8 is connected with the first end plate 6 through a spherical hinge, the other end part is nested outside the second conduit 9, the end part of the second conduit 9 far away from the first conduit 8 is connected with one end part of an amplifying lever 10 through a spherical hinge, and the end part of the amplifying lever 10 far away from the second conduit 9 is connected with the second end plate 7 through a spherical hinge; the fixed plate 11 is arranged at one end of the second guide pipe 9 close to the amplifying lever 10, the guide pipe 12 is sleeved on the first guide pipe 8, the compression spring 13 is sleeved on the first guide pipe 8 and the second guide pipe 9, one end of the compression spring is connected with the fixed plate 11, and the other end of the compression spring is connected with the guide pipe 12; the first end plate 6 and the second end plate 7 are connected with the inner wall of the beam 2; the outer surface of the first end plate 6 is provided with first threads; the connecting part of the cross beam 2 and the first end plate 6 is provided with a second thread matched with the first thread on the inner wall; the first end plate 6 is matched with the second thread by means of the first thread, screwed into the cross beam 2 and fixedly connected with the cross beam 2; the beam 2 is internally provided with a limit rubber ring 14 for limiting the displacement of the fixed plate 11 in the direction vertical to the axis direction, and the outer surface of the limit rubber ring 14 is connected with the inner wall of the beam 2 and sleeved outside the fixed plate 11; the amplifying lever 10 is provided with a middle hole 18, the connecting rod 4 passes through the first hole 17 and is connected with the amplifying lever 10 through the middle hole 18, and the end part of the connecting rod 4 far away from the amplifying lever 10 is connected with the inhaul cable main body 5 through a spherical hinge.
The outer surface of the inhaul cable main body 5 is provided with a cable clamp, the cable clamp comprises two half cable clamps 15, the two half cable clamps 15 are fixed through a bolt sleeve 16, the damper 3 is connected with the half cable clamps 15 through spherical hinges, the connecting rod 4 is connected with the half cable clamps 15 through spherical hinges, and the damper 3 is connected with the cross beam 2 through spherical hinges;
the central axis of the cross beam 2 along the length direction is vertical to the central axis of the upright post 1 along the height direction and vertical to the vertical surface of the inhaul cable main body 5; the bottom of the upright post 1 is fixedly connected with a girder or other structures of the bridge, and supports a cross beam 2; the damper 3 is selected from one of a viscous damper, a viscous shear damper or a friction damper; the central axis of the damper 3 is perpendicular to the central axis of the inhaul cable main body 5, and the included angle between the central axis of the damper and the vertical plane where the inhaul cable main body 5 is located is 10 degrees to 80 degrees.
In the embodiment, the negative stiffness device is arranged inside the cross beam 2 supporting the damper 3 to form a whole; the negative stiffness device and the damper 3 form a parallel system, so that the damping of the integral vibration of the inhaul cable is improved, and the vibration control is realized; when the guide pipe 12 approaches the fixed plate 11, the compression spring 13 is compressed and shortened; by adjusting the distance between the first end plate 6 and the second end plate 7, the length and the initial pressure of the compression spring 13 can be adjusted.
When the inhaul cable main body 5 does not vibrate, the central axis of the connecting rod 4 along the length direction is perpendicular to the central axis of the amplifying lever 10 along the length direction;
when the inhaul cable main body 5 vibrates in the vertical direction (in-plane) and in the direction (out-of-plane) which is horizontally perpendicular to the vertical plane where the inhaul cable main body 5 is located under the action of wind and other power loads, the amplifying lever 10 is driven to rotate around the spherical hinge on the second end plate 7 through the connecting rod 4, meanwhile, the compression spring 13 rotates around the spherical hinge on the first end plate 6, the precompression inside the compression spring 13 generates thrust force perpendicular to the axis direction of the cross beam 2, force for pushing the inhaul cable main body 5 to continue to move is generated, and the negative stiffness effect is achieved;
when the cable body 5 vibrates in and out of the plane, the damper 3 is driven to extend or compress, and a damping force is generated.
As shown in FIG. 3, in the initial installation position (with the cable not vibrated), f 0 For initial compression of the spring 13 (unit: N), l s To compress the springThe length (unit: m) of the 13 position at the initial position, l is the length (unit: m) of the amplifying lever 10, l 1 The distance (unit: m) between the connection point of the connecting rod 4 and the amplifying lever 10 and the connection point of the amplifying lever 10 and the second end plate 7.
When the inhaul cable vibrates, the connecting rod 4 drives the amplifying lever 10 to deviate from the initial position, and the stress balance of the negative stiffness device is shown in fig. 4. When the inhaul cable main body 5 vibrates in the plane and the connecting rod 4 is rigid, the rigidity coefficient k of the negative rigidity device ns (unit: N/m) is approximately determined by the following formula:
Figure BDA0004081860690000091
when the rigidity coefficient of the connecting rod 4 is k, the negative rigidity coefficient of the device to the in-plane vibration of the cable is as follows:
Figure BDA0004081860690000092
the negative stiffness means is dimensioned as in table 1 below, taking into account the infinite stiffness of the connecting rod 4.
Table 1 negative stiffness device coefficients in the examples
Figure BDA0004081860690000093
The cable parameters considered in this example are shown in table 2.
Table 2 parameters of the cable in the examples
Figure BDA0004081860690000094
The damper 3 can be equivalent to a viscous unit (viscosity coefficient c d ) And a spring unit (stiffness coefficient k d ) The parallel structure is also required to provide a built-in negative stiffness damping system for controlling the internal and external vibration of the guy cable surface aiming at the embodimentA spring unit with a negative stiffness is connected in parallel. The mathematical model of the cable after installation of the vibration damping system of this embodiment is shown in fig. 5. The nth order vibration damping of the cable may be calculated as follows:
Figure BDA0004081860690000095
wherein, the liquid crystal display device comprises a liquid crystal display device,
Figure BDA0004081860690000101
Figure BDA0004081860690000102
Figure BDA0004081860690000103
Figure BDA0004081860690000104
according to the negative stiffness device coefficient shown in the table 1 and the cable parameter of the table 2, the coefficient of the damper 3 can be analyzed and adjusted by utilizing the formula, and the maximum value of the damping specific energy of any first-order mode of the cable can be realized. In this embodiment, the viscous damper 3 is considered, the stiffness of which is negligible, i.e. k d =0. Fig. 6 shows a variation curve of the first-order modal damping ratio of the cable of table 2 along with the variation of the equivalent damping coefficient, and it can be seen that the maximum modal damping ratio is 0.011 when the damper 3 is installed at 2.25% by using the conventional damping technology (no negative stiffness effect), and the maximum modal damping ratio is 0.0156 when the embodiment (negative stiffness coefficient is-178560N/m) is adopted, and the maximum modal damping ratio is improved by 41%. Accordingly, if the same damping ratio (0.011) is achieved, the mounting distance of the damper 3 in the present embodiment can be greatly reduced to about 1.8%, and a 20% reduction is achieved.
The previous description of the embodiments is provided to facilitate a person of ordinary skill in the art in order to make and use the present invention. It will be apparent to those skilled in the art that various modifications can be readily made to these embodiments and the generic principles described herein may be applied to other embodiments without the use of the inventive faculty. Therefore, the present invention is not limited to the above-described embodiments, and those skilled in the art, based on the explanation of the present invention, should make improvements and modifications without departing from the scope of the present invention.

Claims (10)

1. A built-in negative stiffness damping system for controlling internal and external vibration of a guy cable surface is used for controlling vibration of a guy cable main body (5) and is characterized by comprising a stand column (1), a cross beam (2), a negative stiffness device, a damper (3) and a connecting rod (4),
the negative stiffness device is arranged inside a beam (2) with a hollow inside, the beam (2) is arranged above the upright post (1), a first hole (17) is formed in the top end far away from the upright post (1), the damper (3) is arranged on one side, far away from the upright post (1), of the beam (2) and is connected with the inhaul cable main body (5), and the damper (3) is symmetrically arranged along a vertical plane where the inhaul cable main body (5) is arranged;
the negative stiffness device comprises a first end plate (6), a second end plate (7), a first guide pipe (8) and a second guide pipe (9), an amplifying lever (10), a fixing plate (11), a compression spring (13) and a guide pipe (12); one end part of the first conduit (8) is connected with the first end plate (6), the other end part of the first conduit is nested outside the second conduit (9), the end part of the second conduit (9) far away from the first conduit (8) is connected with one end part of the amplifying lever (10), and the end part of the amplifying lever (10) far away from the second conduit (9) is connected with the second end plate (7);
the fixed plate (11) is arranged at one end of the second guide pipe (9) close to the amplifying lever (10), the guide pipe (12) is sleeved on the first guide pipe (8), the compression spring (13) is sleeved on the first guide pipe (8) and the second guide pipe (9), one end of the compression spring is connected with the fixed plate (11), and the other end of the compression spring is connected with the guide pipe (12); the first end plate (6) and the second end plate (7) are connected with the inner wall of the cross beam (2);
the amplifying lever (10) is provided with a middle hole (18), the connecting rod (4) penetrates through the first hole (17) and is connected with the amplifying lever (10) through the middle hole (18), and the end part, far away from the amplifying lever (10), of the connecting rod (4) is connected with the inhaul cable main body (5).
2. The internal and external vibration control negative stiffness damping system for the guy cable according to claim 1, wherein the guy cable body (5) is provided with a cable clamp on the outer surface, the cable clamp comprises two half cable clamps (15), and the two half cable clamps (15) are fixed through a bolt sleeve (16).
3. The internal negative stiffness damping system for controlling the internal and external vibration of a guy cable surface according to claim 2, wherein the damper (3) is connected with the half cable clamp (15) through a spherical hinge; the connecting rod (4) is connected with the half cable clamp (15) through a spherical hinge; the damper (3) is connected with the cross beam (2) through a spherical hinge.
4. The internal negative stiffness damping system for cable plane internal and external vibration control according to claim 1, characterized in that the first end plate (6) outer surface is provided with a first thread; the connecting part of the cross beam (2) and the first end plate (6) is provided with second threads matched with the first threads on the inner wall.
5. A system for controlling internal and external vibrations of a cable surface according to claim 1, wherein the first end plate (6) is connected to the first conduit (8) by means of a spherical hinge.
6. The internal negative stiffness damping system for controlling the internal and external vibration of a guy cable surface according to claim 1, wherein the second conduit (9) is connected with the amplifying lever (10) through a spherical hinge; the amplifying lever (10) is connected with the second end plate (7) through a spherical hinge.
7. The internal negative stiffness damping system for controlling the internal and external vibration of a guy cable surface according to claim 1, wherein a limiting rubber ring (14) is further arranged in the cross beam (2), and the outer surface of the limiting rubber ring (14) is connected with the inner wall of the cross beam (2) and sleeved outside the fixed plate (11);
the limiting rubber ring (14) is used for limiting the displacement of the fixing plate (11) in the direction perpendicular to the axis of the fixing plate.
8. The internal negative stiffness damping system for controlling internal and external vibration of a guy cable surface according to claim 1, wherein the central axis of the cross beam (2) along the length direction is perpendicular to the central axis of the upright post (1) along the height direction, and is perpendicular to the vertical surface where the guy cable body (5) is located.
9. A built-in negative stiffness damping system for in-plane and out-of-plane vibration control of a cable according to claim 1, wherein the damper (3) is selected from one of a viscous damper, a viscous shear damper or a friction damper.
10. The internal and external vibration control negative stiffness damping system for the guy cable according to claim 1, wherein the central axis of the damper (3) is perpendicular to the central axis of the guy cable body (5), and the included angle between the central axis of the damper and the vertical plane of the guy cable body (5) is 10-80 degrees.
CN202310124989.6A 2023-02-16 2023-02-16 Built-in negative stiffness damping system for controlling internal and external vibration of inhaul cable surface Pending CN116180566A (en)

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CN202310124989.6A CN116180566A (en) 2023-02-16 2023-02-16 Built-in negative stiffness damping system for controlling internal and external vibration of inhaul cable surface

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Application Number Priority Date Filing Date Title
CN202310124989.6A CN116180566A (en) 2023-02-16 2023-02-16 Built-in negative stiffness damping system for controlling internal and external vibration of inhaul cable surface

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CN116180566A true CN116180566A (en) 2023-05-30

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