CN113983272A - Frequency-adjustable negative-stiffness pipeline dynamic vibration absorber and working method thereof - Google Patents
Frequency-adjustable negative-stiffness pipeline dynamic vibration absorber and working method thereof Download PDFInfo
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- CN113983272A CN113983272A CN202111271726.5A CN202111271726A CN113983272A CN 113983272 A CN113983272 A CN 113983272A CN 202111271726 A CN202111271726 A CN 202111271726A CN 113983272 A CN113983272 A CN 113983272A
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16L—PIPES; JOINTS OR FITTINGS FOR PIPES; SUPPORTS FOR PIPES, CABLES OR PROTECTIVE TUBING; MEANS FOR THERMAL INSULATION IN GENERAL
- F16L55/00—Devices or appurtenances for use in, or in connection with, pipes or pipe systems
- F16L55/02—Energy absorbers; Noise absorbers
- F16L55/033—Noise absorbers
- F16L55/035—Noise absorbers in the form of specially adapted hangers or supports
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16F—SPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
- F16F7/00—Vibration-dampers; Shock-absorbers
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16L—PIPES; JOINTS OR FITTINGS FOR PIPES; SUPPORTS FOR PIPES, CABLES OR PROTECTIVE TUBING; MEANS FOR THERMAL INSULATION IN GENERAL
- F16L3/00—Supports for pipes, cables or protective tubing, e.g. hangers, holders, clamps, cleats, clips, brackets
- F16L3/08—Supports for pipes, cables or protective tubing, e.g. hangers, holders, clamps, cleats, clips, brackets substantially surrounding the pipe, cable or protective tubing
- F16L3/10—Supports for pipes, cables or protective tubing, e.g. hangers, holders, clamps, cleats, clips, brackets substantially surrounding the pipe, cable or protective tubing divided, i.e. with two or more members engaging the pipe, cable or protective tubing
- F16L3/1091—Supports for pipes, cables or protective tubing, e.g. hangers, holders, clamps, cleats, clips, brackets substantially surrounding the pipe, cable or protective tubing divided, i.e. with two or more members engaging the pipe, cable or protective tubing with two members, the two members being fixed to each other with fastening members on each side
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- F—MECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
- F16—ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
- F16F—SPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
- F16F2228/00—Functional characteristics, e.g. variability, frequency-dependence
- F16F2228/06—Stiffness
- F16F2228/063—Negative stiffness
Abstract
The invention relates to a frequency-adjustable negative-stiffness pipeline dynamic vibration absorber and a working method thereof, and is characterized in that: the vibration absorber comprises two hoops and a base, wherein the two hoops are arranged on the periphery of the front face of a pipeline to be subjected to vibration attenuation, two elastic curved beams, a variable mass device and a spring damping device are symmetrically arranged on the base, the elastic curved beams are arc-shaped rod bodies, the first ends of the rod bodies are rotatably hinged to the outer side part of the base, the second ends of the rod bodies are provided with cylindrical sliding blocks, and the cylindrical sliding blocks are limited to slide in arc-shaped sliding grooves of the variable mass device.
Description
The technical field is as follows:
the invention relates to a frequency-adjustable negative-stiffness pipeline dynamic vibration absorber and a working method thereof, and belongs to the technical field of pipeline vibration reduction.
Background art:
the dynamic vibration absorber is a mass block-spring resonance system composed of a mass block, a damper, an elastic element and the like, and the basic principle of the dynamic vibration absorber is anti-resonance, namely, the energy of a vibrating object is absorbed through the resonance system, so that the aim of vibration reduction is fulfilled; compared with other types of vibration reduction devices, the dynamic vibration absorber has the advantages of simple structure, convenience in manufacturing, good vibration absorption effect and the like, and therefore, the dynamic vibration absorber is widely used in the field of vibration reduction of equipment.
The pipeline system is widely applied to medium transmission due to the characteristics of high conveying efficiency, convenience in manufacturing, long service life and the like, but the pipeline system is often in a severe vibration environment, and the pipeline system can generate a resonance problem due to basic excitation, pressure pulsation, transmission medium impact and the like in the environment, so that the pipeline system has the problems of fatigue and abrasion, and the transmission efficiency of the pipeline system is reduced due to the vibration problem.
The traditional mass block-spring pipeline dynamic vibration absorber is simple in structure and low in price, but the self parameters of the vibration absorber cannot be changed after being determined, the inherent frequency cannot be adjusted, and the applicable vibration reduction frequency band is narrow; in contrast, researchers have proposed a variable-stiffness and variable-mass dynamic vibration absorber, and the stiffness and the vibration-damping frequency band range of the vibration absorber are changed by adjusting the effective length of a spring and replacing a mass block, but the problems of low tuning precision, frequency modulation requiring disassembly and assembly and the like exist, and the common mass block-spring dynamic vibration absorber has poor effect in low-frequency vibration damping, and a pipeline system often has low-frequency residual vibration due to the long-span characteristic.
The invention content is as follows:
in view of the above, the present invention provides a frequency-adjustable negative-stiffness pipeline dynamic vibration absorber and a working method thereof, which solve the problem of low-frequency vibration attenuation of a pipeline and achieve the adjustable vibration attenuation frequency of the vibration absorber.
In order to achieve the purpose, the invention provides the following technical scheme:
the invention relates to a frequency-adjustable negative-stiffness pipeline dynamic vibration absorber, which is characterized in that: the vibration damping device comprises two hoops, wherein the hoops are arranged on a base on the periphery of the front surface of a pipeline to be damped, two elastic curved beams, a variable mass device and a spring damping device are symmetrically arranged on the base, the elastic curved beams are arc-shaped rod bodies, the first ends of the rod bodies are rotatably hinged on the outer side part of the base, cylindrical sliders are arranged at the second ends of the rod bodies and are limited in arc-shaped chutes of the variable mass device to slide, the variable mass device comprises a mass block box, mass plates arranged in the mass block box, a compression spring and mass blocks with a plurality of superposed sheets, the mass block box comprises two panels arranged in parallel at intervals, a top plate fixedly arranged between the upper parts of the two panels and a middle partition plate fixedly arranged between the middle parts of the two panels, the mass plates slide between the top plate and the middle partition plate in parallel, and the mass blocks are arranged between the mass plates and the top plate, the compression spring is compressed between the middle partition plate and the mass plate, the arc-shaped sliding groove is formed in two inner wall surfaces of the side portion of the panel, one end of the spring damping device is connected with the mass block box, and the other end of the spring damping device is connected with the arc-shaped plate, which is positioned on the periphery of the pipeline to be damped, of the hoop.
Furthermore, guide pillars are vertically arranged on the inner wall surfaces of the two panels, an interval is arranged between the two guide pillars, connecting plates at two side parts of the mass block plate are arranged in the interval, two notches which are matched with the two guide pillars to slide are formed in the mass block plate, the position between the two notches is the connecting plate, a through hole is formed in the top plate, and the through hole is opposite to the connecting plate.
Furthermore, the spring damping device comprises two movable lugs arranged at intervals, a tension spring arranged between the two movable lugs and a damper arranged between the two movable lugs and in the tension spring, and the two movable lugs are respectively connected with the arc-shaped plate and the mass block box through pins.
Furthermore, the two sides of the arc plates are provided with connecting plates, the two arc plates are folded to form a ring shape, and the two hoops penetrate through the two connecting plates at the two sides of the base on the periphery of the front of the pipeline to be damped and are locked and fixed by bolts.
Furthermore, the back surfaces of the two bases on the periphery of the front surface are also provided with two hoops which are clamped on the bases on the periphery of the back surface of the pipeline to be damped, the two bases on the front surface and the two bases on the back surface are staggered by 90 degrees in the circumferential direction, and the two bases on the front surface and the two bases on the back surface are locked and fixed through the arrayed bolts.
The invention discloses a working method of a frequency-adjustable negative-stiffness pipeline dynamic vibration absorber, which is characterized by comprising the following steps of: the elastic curved beam is connected with the base and the cylindrical sliding block through the cylindrical hinge hole, the cylindrical sliding block can slide in the arc-shaped sliding groove of the mass block box, the spring damping device is connected with the base and the mass block box through the movable hangers at two ends, the elastic curved beam is buckled through the tensile force of the spring damping device, so that a balanced negative stiffness state is achieved, the cylindrical sliding block slides from the bottom end to the top end of the arc-shaped sliding groove when the elastic curved beam is buckled, the buckled elastic curved beam is prevented from interfering with the base, meanwhile, the spring damping device and the mass variable device form a mass block-spring vibration absorption system, and a damper in the spring damping device can enable the negative stiffness state to be more stable and can eliminate oscillation existing when the spring works;
in the mass block box, the mass block is placed on the mass block plate, the compression spring is located below the mass block plate, the mass block plate moves upwards to compress the mass block at the top of the mass block box through the upward thrust of the spring, when the mass block needs to be increased or decreased, the mass block plate only needs to be pressed downwards, the compression state of the mass block is relieved, the mass block can be increased or decreased, and the natural frequency of the vibration absorber is changed.
The variable mass device has the advantages that the problem of low-frequency vibration reduction of a pipeline is solved by designing the negative stiffness mechanism, the stability of the negative stiffness state of the mechanism and the high-frequency vibration reduction performance of the vibration absorber are guaranteed by the spring damping device, and meanwhile, the variable mass device realizes the adjustability of the natural frequency of the vibration absorber, and is simple in structure, high in precision and convenient to operate.
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is further described in detail below with reference to specific embodiments and accompanying drawings.
Description of the drawings:
FIG. 1 is a schematic perspective view of the front face of the present invention;
FIG. 2 is a schematic perspective view of the back side of the present invention;
FIG. 3 is a schematic cross-sectional perspective view of the present invention;
FIG. 4 is a partial view of FIG. 3;
FIG. 5 is a cross-sectional view A-A of FIG. 1;
FIG. 6 is a schematic view of the negative stiffness mechanism configuration of the present invention;
FIG. 7 is a schematic cross-sectional view of a variable mass apparatus of the present invention;
FIG. 8 is a schematic view of the spring damper assembly of the present invention;
fig. 9 is a perspective configuration view of a mass block case;
in the figure, 1-base, 2-elastic curved beam, 3-cylindrical slider, 4-variable mass device, 41-mass block box, 42-compression spring, 43-mass block plate, 44-mass block, 5-spring damping device, 51-tension spring, 52-damper, 53-movable suspension loop, 6-rubber pad, 7-bolt and 8-nut.
The specific implementation mode is as follows:
as shown in the figure, the frequency-adjustable negative-stiffness pipeline dynamic vibration absorber comprises a base 1, an elastic curved beam 2, a cylindrical sliding block 3, a variable mass device 4, a spring damping device 5, a rubber pad 6, a screw 7 and a nut 8, wherein the variable mass device 4 comprises a mass block box 41, a compression spring 42, a mass block plate 43 and a mass block 44; the spring damping device 5 comprises a tension spring 51, a damper 52 and a movable hanging lug 53.
The concrete connection structure is as follows: two bases 1 (the two bases on the back can be optional, namely the two bases on the front can also play a role in absorbing vibration) are hooped on the periphery of the front of a pipeline to be damped, one base 1 is provided with two elastic curved beams 2 which are symmetrically arranged, a variable mass device 4 and a spring damping device 5, the elastic curved beams 2 are arc-shaped rod bodies, the first ends of the rod bodies are rotatably hinged on the outer side part of the base 1, the second ends of the rod bodies are provided with cylindrical sliding blocks 3, the cylindrical sliding blocks 3 are limited in arc-shaped sliding grooves 45 of the variable mass device to slide, the variable mass device 4 comprises a mass block box 41, mass plates 43 arranged in the mass block box body, a compression spring 42 and a plurality of superposed mass blocks 44, the mass block box 41 comprises two panels 411 arranged in parallel at intervals, a top plate 412 fixedly arranged between the upper parts of the two panels and a middle partition 413 fixedly arranged between the middle parts of the two panels, the mass plate 43 slides in parallel between the top plate 412 and the middle partition 413, the mass block 44 is arranged between the mass plate 43 and the top plate 412, the compression spring 43 is compressed between the middle partition 413 and the mass plate 43, the arc chute 45 is arranged on two inner wall surfaces of the side part of the panel 411, one end of the spring damping device 5 is connected with the mass block box, and the other end of the spring damping device 5 is connected with the arc plate 101 which is hooped on the periphery of the pipeline to be damped; the two ends of the cylindrical sliding block 3 are limited to slide in the arc-shaped sliding grooves 45 of the two panels 411, rectangular long grooves can be formed in the two panels 411, and guide blocks are arranged on the two sides of the mass block 44 and limited to slide in the rectangular long grooves.
When the vibration absorber works, the base of the vibration absorber is composed of four or two bases 1 and is used for bearing other mechanisms and connecting with a pipeline system; the elastic curved beam 2 is a negative stiffness element, and both ends of the elastic curved beam are provided with cylindrical hinge structures for being hinged with the base 1 and the variable mass device 4; the cylindrical sliding block 3 is used for hinging the elastic curved beam 2 with the variable mass device 4, and the cylindrical sliding block 3 slides in the arc-shaped sliding groove 45 of the mass block box during working.
The compression spring 42 is a spring for fixing the mass block 42, and the mass block 44 can be tightly pressed and fixed in the mass block box 41 by the thrust of the spring during operation; the mass plate 43 is symmetrical left and right, rectangular bosses are arranged on four sides of the mass plate, the notches 432 are formed between the rectangular bosses on two sides, the guide posts 414 slide in the rectangular notches 432, so that the mass plate 43 moves up and down, the mass plate 43 is a bearing platform for placing the mass block 44, and the mass plate 43 is elastically supported by the compression spring 42; the mass 44 is a rubber mass, which is an important component of the vibration absorber, and the natural frequency of the dynamic vibration absorber can be adjusted by changing the number and mass of the mass 44.
The spring damping device 5 comprises two movable lugs 53 arranged at intervals, a tension spring 51 arranged between the two movable lugs and a damper 52 (the damper 52 can be rubber or an air spring and the like) arranged between the two movable lugs and in the tension spring, the two movable lugs are respectively connected with the arc-shaped plate and the mass block box through pins, and the tension spring 51 is a tension spring and has the function of enabling the elastic curved beam 2 to present a negative stiffness state and form a mass block-spring vibration absorption system together with the variable mass device 4; the damper 52 is arranged inside the tension spring 51 and has the function of eliminating the oscillation existing in the spring so as to enable the spring to work more stably; the movable lugs 53 are used in pairs and used for fixing the tension spring 51 and the damper 52, the spring damping device 5 formed by the tension spring 51 and the damper 52 is connected with the variable mass device 4 and the base 1, pin holes are formed in the movable lugs 53, and pin shafts are inserted into the pin holes to be hinged with the two panels 411 and the arc-shaped plate 101.
Preferably, the rubber pad 6 is arranged on the inner periphery of the arc-shaped plate 101, and the rubber pad 6 is in a thin semicircular ring shape, is used in pairs when in use, and plays a role in strengthening and fastening when being used for installing and contacting the vibration absorber and a pipeline system; the two sides of the arc-shaped plate 101 are respectively provided with a connecting plate 102, the two arc-shaped plates are folded to form a ring shape, and the two hoops are respectively fastened and fixed on the base on the periphery of the front of the pipeline to be damped through the two connecting plates on the two sides by penetrating through bolts 7 and nuts 8.
The two bases on the periphery of the front face and the two bases on the periphery of the back face of the pipeline to be damped are also provided with two hoops on the back faces of the two bases on the periphery of the front face, the two bases on the front face and the two bases on the back face are staggered by 90 degrees in the circumferential direction, and the two bases on the front face and the two bases on the back face are locked and fixed through arrayed bolts.
The specific implementation mode is as follows:
the elastic curved beam is connected with the base and the cylindrical sliding block through the cylindrical hinge hole, the cylindrical sliding block can slide in the arc-shaped sliding groove of the mass block box, the spring damping device is connected with the base and the mass block box through the movable hanging lugs at two ends, the elastic curved beam is buckled through the tensile force of the spring damping device, the elastic curved beam is enabled to reach a balanced negative stiffness state, the cylindrical sliding block slides to the top end from the bottom end of the arc-shaped sliding groove when the elastic curved beam is buckled, the buckling of the elastic curved beam is avoided from interfering with the base, meanwhile, the spring damping device and the mass variable device form a mass block-spring vibration absorption system, and a damper in the spring damping device can enable the negative stiffness state to be more stable and can eliminate oscillation existing in the working process of the spring.
In the mass block box, the mass block is placed on the mass block plate, the compression spring is located below the mass block plate, through the upward thrust of the spring, the mass block plate compresses tightly the mass block at the top of the mass block box with upward movement, when the mass block needs to be increased or decreased, the mass block plate is only required to be pressed down through the small hole at the top of the mass block box, the state of compression is relieved by the mass block, the increase or decrease of the mass block can be carried out, and the natural frequency of the vibration absorber is changed.
The negative stiffness mechanism has good performance in the aspects of low frequency and broadband vibration reduction, the vibration reduction system can be well adapted to the vibration of each frequency band through the combination of the negative stiffness mechanism and the mass block-spring vibration absorption system, the vibration reduction efficiency is greatly improved, meanwhile, the natural frequency of the vibration absorber can be adjusted through the novel variable mass device, and the vibration absorber is simple in structure, high in precision and simple and convenient to operate.
The above-mentioned preferred embodiments, further illustrating the objects, technical solutions and advantages of the present invention, should be understood that the above-mentioned are only preferred embodiments of the present invention and should not be construed as limiting the present invention, and any modifications, equivalents, improvements and the like made within the spirit and principle of the present invention should be included in the protection scope of the present invention.
Claims (6)
1. The utility model provides a but frequency modulation formula negative stiffness pipeline dynamic vibration absorber which characterized in that: the vibration damping device comprises two hoops, wherein the hoops are arranged on a base on the periphery of the front surface of a pipeline to be damped, two elastic curved beams, a variable mass device and a spring damping device are symmetrically arranged on the base, the elastic curved beams are arc-shaped rod bodies, the first ends of the rod bodies are rotatably hinged on the outer side part of the base, cylindrical sliders are arranged at the second ends of the rod bodies and are limited in arc-shaped chutes of the variable mass device to slide, the variable mass device comprises a mass block box, mass plates arranged in the mass block box, a compression spring and mass blocks with a plurality of superposed sheets, the mass block box comprises two panels arranged in parallel at intervals, a top plate fixedly arranged between the upper parts of the two panels and a middle partition plate fixedly arranged between the middle parts of the two panels, the mass plates slide between the top plate and the middle partition plate in parallel, and the mass blocks are arranged between the mass plates and the top plate, the compression spring is compressed between the middle partition plate and the mass plate, the arc-shaped sliding groove is formed in two inner wall surfaces of the side portion of the panel, one end of the spring damping device is connected with the mass block box, and the other end of the spring damping device is connected with the arc-shaped plate, which is positioned on the periphery of the pipeline to be damped, of the hoop.
2. The adjustable frequency negative stiffness pipe dynamic vibration absorber of claim 1, wherein: guide pillars are vertically arranged on the inner wall surfaces of the two panels, an interval is arranged between the two guide pillars, connecting plates at two side parts of the mass block plate are arranged in the interval, two notches which are matched with the two guide pillars to slide are formed in the mass block plate, the position between the two notches is the connecting plate, a through hole is formed in the top plate, and the through hole is opposite to the connecting plate.
3. The adjustable frequency negative stiffness pipe dynamic vibration absorber of claim 2, wherein: the spring damping device comprises two movable lugs arranged at intervals, a tension spring arranged between the two movable lugs and a damper arranged between the two movable lugs and in the tension spring, and the two movable lugs are respectively connected with the arc-shaped plate and the mass block box through pins.
4. The tunable negative stiffness pipe dynamic vibration absorber of claim 1, 2 or 3, wherein: the two sides of the arc plates are respectively provided with a connecting plate, the two arc plates are folded to form a ring shape, and the two hoops penetrate through the two connecting plates at the two sides of the periphery of the front of the pipeline to be damped and are locked and fixed by bolts.
5. The adjustable frequency negative stiffness pipe dynamic vibration absorber of claim 4, wherein: the two bases on the periphery of the front face and the two bases on the back face are also provided with two hoops, the bases on the periphery of the back face of the pipeline to be damped are staggered by 90 degrees in the circumferential direction, and the two bases on the front face and the two bases on the back face are locked and fixed through the arrayed bolts.
6. A method for operating the frequency-tunable negative stiffness pipe dynamic vibration absorber of any one of claims 1-5, wherein: the elastic curved beam is connected with the base and the cylindrical sliding block through the cylindrical hinge hole, the cylindrical sliding block can slide in the arc-shaped sliding groove of the mass block box, the spring damping device is connected with the base and the mass block box through the movable hangers at two ends, the elastic curved beam is buckled through the tensile force of the spring damping device, so that a balanced negative stiffness state is achieved, the cylindrical sliding block slides from the bottom end to the top end of the arc-shaped sliding groove when the elastic curved beam is buckled, the buckled elastic curved beam is prevented from interfering with the base, meanwhile, the spring damping device and the mass variable device form a mass block-spring vibration absorption system, and a damper in the spring damping device can enable the negative stiffness state to be more stable and can eliminate oscillation existing when the spring works; in the mass block box, the mass block is placed on the mass block plate, the compression spring is located below the mass block plate, the mass block plate moves upwards to compress the mass block at the top of the mass block box through the upward thrust of the spring, when the mass block needs to be increased or decreased, the mass block plate only needs to be pressed downwards, the compression state of the mass block is relieved, the mass block can be increased or decreased, and the natural frequency of the vibration absorber is changed.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202111271726.5A CN113983272B (en) | 2021-10-29 | 2021-10-29 | Frequency-adjustable negative-stiffness pipeline dynamic vibration absorber and working method thereof |
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| CN202111271726.5A CN113983272B (en) | 2021-10-29 | 2021-10-29 | Frequency-adjustable negative-stiffness pipeline dynamic vibration absorber and working method thereof |
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| CN113983272B CN113983272B (en) | 2023-09-29 |
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN114934966A (en) * | 2022-04-24 | 2022-08-23 | 上海交通大学 | Base structure with unsteady negative-stiffness vibration absorber |
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| CN113503417A (en) * | 2021-08-03 | 2021-10-15 | 福州大学 | Two-degree-of-freedom pipeline active dynamic vibration absorber and using method thereof |
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| JPH09329183A (en) * | 1996-06-11 | 1997-12-22 | Mitsubishi Heavy Ind Ltd | Dynamic vibration absorber |
| CN102121506A (en) * | 2011-03-28 | 2011-07-13 | 重庆长安汽车股份有限公司 | Vibration absorber with adjustable frequency installed on suspended support of automobile |
| DE102014006193A1 (en) * | 2013-05-06 | 2014-12-11 | KÖTTER Consulting Engineers GmbH & Co. KG | Vibration damper or vibration damper |
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN114934966A (en) * | 2022-04-24 | 2022-08-23 | 上海交通大学 | Base structure with unsteady negative-stiffness vibration absorber |
| CN114934966B (en) * | 2022-04-24 | 2023-03-10 | 上海交通大学 | Base structure with unsteady negative-stiffness vibration absorber |
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| CN113983272B (en) | 2023-09-29 |
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