CN108716521A - A kind of energy gathering apparatus based on nonlinear energy trap - Google Patents

A kind of energy gathering apparatus based on nonlinear energy trap Download PDF

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Publication number
CN108716521A
CN108716521A CN201810554634.XA CN201810554634A CN108716521A CN 108716521 A CN108716521 A CN 108716521A CN 201810554634 A CN201810554634 A CN 201810554634A CN 108716521 A CN108716521 A CN 108716521A
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China
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energy
magnet
nonlinear
gathering apparatus
vibration
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CN201810554634.XA
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CN108716521B (en
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刘树勇
楼京俊
李爽
杨庆超
柴凯
陈志敏
黄梦秋
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Naval University of Engineering PLA
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Naval University of Engineering PLA
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    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16FSPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
    • F16F15/00Suppression of vibrations in systems; Means or arrangements for avoiding or reducing out-of-balance forces, e.g. due to motion
    • F16F15/02Suppression of vibrations of non-rotating, e.g. reciprocating systems; Suppression of vibrations of rotating systems by use of members not moving with the rotating systems
    • FMECHANICAL ENGINEERING; LIGHTING; HEATING; WEAPONS; BLASTING
    • F16ENGINEERING ELEMENTS AND UNITS; GENERAL MEASURES FOR PRODUCING AND MAINTAINING EFFECTIVE FUNCTIONING OF MACHINES OR INSTALLATIONS; THERMAL INSULATION IN GENERAL
    • F16FSPRINGS; SHOCK-ABSORBERS; MEANS FOR DAMPING VIBRATION
    • F16F15/00Suppression of vibrations in systems; Means or arrangements for avoiding or reducing out-of-balance forces, e.g. due to motion
    • F16F15/02Suppression of vibrations of non-rotating, e.g. reciprocating systems; Suppression of vibrations of rotating systems by use of members not moving with the rotating systems
    • F16F15/03Suppression of vibrations of non-rotating, e.g. reciprocating systems; Suppression of vibrations of rotating systems by use of members not moving with the rotating systems using magnetic or electromagnetic means
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J7/00Circuit arrangements for charging or depolarising batteries or for supplying loads from batteries
    • H02J7/32Circuit arrangements for charging or depolarising batteries or for supplying loads from batteries for charging batteries from a charging set comprising a non-electric prime mover rotating at constant speed

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  • Engineering & Computer Science (AREA)
  • General Engineering & Computer Science (AREA)
  • Physics & Mathematics (AREA)
  • Acoustics & Sound (AREA)
  • Aviation & Aerospace Engineering (AREA)
  • Mechanical Engineering (AREA)
  • Power Engineering (AREA)
  • Electromagnetism (AREA)
  • Vibration Prevention Devices (AREA)

Abstract

The invention belongs to Noise and Vibration Control and energy collection technology fields, are related to a kind of mechanical device integrating wideband absorbing and vibrational energy acquisition function, are mainly made of bottom plate, nonlinear energy trap mechanism, vibration energy harvesting unit three parts;Wherein, the buckled beam that both ends are pressurized provides nonlinear energy trap required pure Nonlinear Cubic rigidity jointly with the magnetic spring mechanism for being arranged in both sides, and vibration energy harvesting unit includes mainly induction coil.The device can realize that external mechanical vibration equipment energy is quick, efficient, irreversible in wide frequency range and be transferred to nonlinear energy trap mechanism, vibration equipment is set to be inhibited, and the energy that nonlinear energy trap mechanism is absorbed can further be dissipated by electromagnetic damping, and it is converted into electric energy and is stored, to realize vibration control and energy acquisition dual function, have many advantages, such as that absorbing bandwidth, absorbing are efficient, efficiency of energy collection is high, and the structure being related to is simple, compact, it is adaptable.

Description

A kind of energy gathering apparatus based on nonlinear energy trap
Technical field
The invention belongs to vibration and noise control technology fields and vibration energy harvesting technical field, and in particular to Yi Zhongji In the energy gathering apparatus of nonlinear energy trap.
Background technology
It is well known that dynamic vibration absorber is usually made of mass block, spring and viscous damping, and it is widely used in building It builds, in the structures such as machinery, traditional linear power bump leveller is only when bump leveller intrinsic frequency is equal to the vibration frequency of structure It could effectively inhibit to vibrate, and there are two resonance peaks for tool, in order to overcome linear power bump leveller can only be in narrow band frequency model The shortcomings that enclosing interior inhibition vibration, in recent years, many scholar's achievements in research show to introduce in dynamic vibration absorber non-linear both at home and abroad, It can be effectively increased the bandwidth of vibration suppression, the robustness of dynamic vibration absorber is made to significantly improve.
Nonlinear energy trap is that the non-linear bump leveller of vibration suppression is realized using target energy transmission phenomenon, is commonly referred to as By strong nonlinearity rigidity and viscous damping connection and the additional mass of main structure, the usual very little of additional mass quality, But its strong nonlinearity rigidity can significantly change the dynamic characteristic of original system, and under the conditions of meeting special parameter, can make System vibration energy localizes, and keeps main system vibrational energy irreversible by nonlinear dynamic phenomenons such as target energy transmissions Rapid aggregation is in nonlinear energy trap, and by Damping work in nonlinear energy well structure, to effectively inhibit principal series System vibration.The maximum challenge of the technology at present is how the non-thread performance with strong nonlinearity rigidity is realized by physical mechanism Amount well structure and the structural parameters for meeting nonlinear energy trap characteristic, patent CN103939521A propose to utilize two elastic strings Non-linear rigidity is provided and realizes nonlinear energy well structure, when patent CN205134603U proposes to be pressurized using oval rubber bodies It generates non-linear force and realizes nonlinear energy well structure, but the non-linear rigidity that these mechanism forms provide contains certain line Property item so that nonlinear energy trap engineering has significant limitation.
Energy collection technology is the research hotspot in the fields such as current Internet of Things, electric power, environment-friendly engineering.Especially for machinery System, a large amount of vibrational energy cause the serious wasting of resources by Damping work, and how many scholars will shake if beginning one's study Energy is converted into electrical energy form storage, and is energized for each class of electronic devices such as sensors, to be realization wireless network Or it is distant away from network power supply demand creation advantage.But vibration energy harvesting efficiency only resonates in mechanical equipment It could maximize, the electricity that no person generates is very little.Covibration can aggravate the vibration of mechanical equipment, increase mechanical system Noise, the service life to equipment is also greatly to damage.Therefore, how mechanical system vibration suppressioning effect and collection of energy to be imitated The problem of combination of both rates is current vibration energy harvesting technical field urgent need to resolve.
Invention content
It is a primary object of the present invention in view of the deficiencies of the prior art, provide a kind of vibration based on nonlinear energy trap Two targets of vibration suppression and collection of energy can be achieved at the same time in energy collecting device, the device.
To achieve the above object, the present invention adopts the following technical scheme that:
A kind of energy gathering apparatus based on nonlinear energy trap, it includes bottom plate and is arranged on bottom plate non-thread Property energy wells mechanism, vibration energy harvesting unit;The nonlinear energy trap mechanism is used to absorb the vibration of external mechanical equipment Energy inhibits mechanical equipment vibration, it includes the fixed buckled beam in both ends (bearing certain precompression in both ends) and is symmetrical arranged Mass block, center magnet and external magnet in its both sides, one end of wherein mass block are fixedly connected with buckled beam, the other end with One end of center magnet is connected, and makes center magnet that can move up and down with buckled beam, the inner face of external magnet and intermediate magnetic The outer end face face of iron is arranged;Center magnet and external magnet constitute magnetic spring mechanism, are adjusted using the active force between magnet Save the vertical non-linear restoring force of buckled beam;The extraneous energy that the vibration energy harvesting unit is used to absorb nonlinear energy trap Amount is converted into power storage by electromagnetic damping fast dissipation, it includes coil, and coil is arranged in mass block and external magnet Between, and the cantilever end of center magnet is interspersed in the hollow part of coil;External magnet, center magnet, mass block and coil Axis overlaps, and entire energy gathering apparatus is axisymmetricly tied along buckled beam length direction and mass block central axes direction Structure.
In said program, the precompression at the buckled beam both ends is adjustable.
In said program, the both ends of the buckled beam are separately fixed in the first mounting base, and the first mounting base is along buckled beam The position of length direction is adjustable (symmetrically to be opened up U-shaped sliding slot along buckled beam length direction, and passes through U-shaped sliding slot and bolt and bottom plate It is fixed);The both ends difference face of buckled beam arranges that contour tapped through hole is respectively set in baffle, baffle and mounting base, using the One bolt and lock nut connects baffle and mounting base, the central axes weight of the first bolt and buckled beam along buckled beam length direction It closes;The precompression at buckled beam both ends can be adjusted by the first bolt (locking nut) adjusted between the first mounting base and baffle.
In said program, fixation is bolted in the mass block of the buckled beam and its both sides.
In said program, the shapes such as cylinder can be selected in the center magnet.
In said program, the coil is induction coil.
In said program, the coil both ends are connected with external accumulator, and the external accumulator includes load electricity The elements such as resistance, inductance and capacitance, when being moved with buckled beam for storing center magnet, induction caused by cutting magnetic induction line Electromotive force.
In said program, the position of the external magnet in the axial direction is adjustable, adjusts center magnet and external magnet axis To the spacing in direction.
In said program, the external magnet is arranged in the second mounting base, the second mounting base externally magnet axis pair Title opens up U-shaped sliding slot, is connected and fixed with bottom plate by U-shaped sliding slot and bolt.
In said program, the position of the coil position in the axial direction is adjustable, regulating winding end face and center magnet end Spacing between face.
In said program, the coil is arranged on bobbin winoler, and the lower part of bobbin winoler symmetrically opens up U-shaped along coil central axes Sliding slot is connected and fixed by U-shaped sliding slot and bolt with bottom plate.
In said program, the center magnet and external magnet, axial charging generate repulsive force between each other;It can be used The ferromagnetic materials such as NdFeB.
Preferably, the center magnet and external magnet are cylinder.
The buckled beam that the present invention is pressurized using both ends provides non-thread performance jointly with the magnetic spring mechanism for being arranged in both sides The required pure Nonlinear Cubic rigidity of trap is measured, vibration energy harvesting unit is then mainly by induction coil and external current-regulating circuit Composition;The device can be realized in wide frequency range external mechanical vibration equipment energy it is quick, efficient, irreversible be transferred to it is non- Linear energy trap mechanism, makes vibration equipment be inhibited, and the energy that nonlinear energy trap mechanism is absorbed can further lead to Electromagnetic damping dissipation is crossed, and is converted into electric energy and is stored, to realize vibration control and energy acquisition dual function.The present invention Device have form it is simple, it is compact-sized, it is adaptable the advantages that, compared with traditional linear bump leveller, absorbing frequency band is more It is wide, absorbing is more efficient, efficiency of energy collection higher, provide a new approaches for vibration energy harvesting technology.
Compared with prior art, beneficial effects of the present invention are:
The present invention realizes that required pure cube of nonlinear energy trap is non-thread jointly using buckled beam with magnetic spring mechanism Property rigidity, is more suitable for engineering design demand;And the device has better robustness, can be real simultaneously in wide frequency range Existing vibration suppression and two targets of vibration energy harvesting, greatly improve absorbing efficiency and efficiency of energy collection.
Description of the drawings
Fig. 1 is a kind of tomograph of the energy gathering apparatus based on nonlinear energy trap provided by the invention.
Fig. 2 is a kind of front view of the energy gathering apparatus based on nonlinear energy trap provided by the invention.
Fig. 3 is a kind of vertical view of the energy gathering apparatus based on nonlinear energy trap provided by the invention.
Fig. 4 is a kind of half-sectional left view of the energy gathering apparatus based on nonlinear energy trap provided by the invention.
Wherein, 1- bottom plates, 2- buckled beams, the second mounting bases of 3-, 4- external magnets, 5- bobbin winolers, 6- coils, the centres 7- magnetic Iron, 8- mass blocks, the first mounting bases of 9-, the first bolts of 10-, 11-T type baffles.
Specific implementation mode
For a better understanding of the present invention, the content that the present invention is furture elucidated in the following with reference to the drawings and specific embodiments, But present disclosure is not limited solely to the following examples.
As shown in Figs 1-4, a kind of energy gathering apparatus based on nonlinear energy trap, it includes bottom plate 1, non-linear Energy wells mechanism and vibration energy harvesting unit;Bottom plate 1 can be fixed on the machinery for needing vibration damping by way of hanging or being clamped In equipment, outer surface is arranged nonlinear energy trap mechanism and vibration energy harvesting unit, whole device axisymmetricly structure;
Wherein, nonlinear energy trap mechanism includes the fixed buckled beam 2 in both ends, center magnet 7, external magnet 4 and quality Block 8, center magnet 7, external magnet 4 are cylinder, and the two axial charging generates repulsive force between each other;Buckled beam 2 is along it Two cylindrical mass blocks 8 are symmetrically fixed in the vertical direction in center, and the circumferentially array of two mass blocks 8 opens up the four of face respectively A tapped through hole, 2 corresponding position of buckled beam also open up tapped through hole, and buckled beam 2 and its mass block of both sides 2 is made to connect by bolt Connect fixation;The outer end face of mass block 8 opens up counter sink, and one end of center magnet 7, which is fixed in counter sink, (can add seccotine Hydropexis), make center magnet 7 that can move up and down with buckled beam 2;The other end (cantilever end) of center magnet 7, which is interspersed in, to shake The hollow part of coil 6 in energy collector unit, the inner face of external magnet 4 and the cantilever end face cloth of center magnet 7 It sets on bottom plate 1, mass block 8, center magnet 7 and 4 three central axes of external magnet overlap;
Buckled beam 2, coil 6 and external magnet 4 are separately fixed at the first mounting base 9 being arranged on bottom plate 1, bobbin winoler 5 In the second mounting base 3, the lower part of bobbin winoler 5 and the second mounting base 3 symmetrically opens up U along the vertical direction in 2 center of buckled beam respectively Type sliding slot, and be connected and fixed respectively with bottom plate 1 by U-shaped sliding slot and bolt, in being adjusted by the bolt adjusted in U-shaped sliding slot Between spacing between magnet 7 and external magnet 4 and the spacing between coil end face and center magnet end face.7 He of center magnet External magnet 4 constitutes magnetic spring mechanism, and the vertical non-linear restoring force of buckled beam is adjusted using the active force between magnet.
The pressing plate of two block gaps setting is fixed on the top of first mounting base 9 respectively, and the both ends of buckled beam 2 are embedded in two respectively Between block pressur plate and threaded hole is opened up, and the both ends of buckled beam 2 are fixed in pressing plate by bolt;Under first mounting base 9 Portion symmetrically opens up U-shaped sliding slot along 2 length direction of buckled beam, and is connected and fixed by bolt and bottom plate 1;The both ends of buckled beam 2 are also Face arrangement T-type baffle 11 respectively, lower part and the bottom plate 1 of T-type baffle 11 are connected and fixed;The top of T-type baffle 11 and open up spiral shell Line through-hole, the first mounting base 9 side opposite with T-type baffle 11 open up contour threaded hole, pass through the first bolt 10 and setting The first mounting base 9 of locking nut connection between the first mounting base 9 and T-type baffle 11 and T-type baffle 11, the first bolt 10 with The central axes of buckled beam 2 overlap;By adjusting the first bolt (locking nut) between the first mounting base and baffle, it is adjusted and bends The precompression at curved beam both ends.
The both ends of coil 6 are connected with external accumulator;Wherein external accumulator includes load resistance, inductance, capacitance Equal elements, when being moved with buckled beam for storing center magnet 7, induced electromotive force caused by cutting magnetic induction line.
A kind of energy gathering apparatus based on nonlinear energy trap provided by the present invention, the course of work are as follows: The device is fixed on by clamping or hang on mechanical equipment to be damped, is adjusted bend according to vibration insulating system drive characteristic first Spacing suffered by 2 both ends of curved beam between precompression and external magnet 4 and center magnet 7 makes the two that can provide jointly pure vertical Square non-linear rigidity;The vibration energy harvesting dress being transferred to based on nonlinear energy trap when vibration insulating system vibrational energy is irreversible When setting, mass block 8 and center magnet 7 are vertically vibrated with buckled beam 2, magnetic strength in 7 sectioned coil 6 of center magnet Line, the vibrational energy that nonlinear energy trap is absorbed is damped by system mechanics and the electromagnetism between center magnet 7 and coil 6 hinders The thermal energy that Buddhist nun's fast dissipation, wherein electromagnetic damping are dissipated is partially converted into electric energy, and can be stored by external circuit.By Meet pure Nonlinear Cubic rigidity in the device nonlinear energy trap mechanism, therefore when device absorption vibration insulating system vibrational energy There is no dominant frequencies all to have preferable shock attenuation result, simultaneously without carrying out frequency-tracking to main system in wide frequency range Has higher efficiency of energy collection.
Obviously, above-described embodiment be only intended to clearly illustrate made by example, and not limitation to embodiment.It is right For those of ordinary skill in the art, can also make on the basis of the above description it is other it is various forms of variation or It changes.There is no necessity and possibility to exhaust all the enbodiments.And the obvious variation or change therefore amplified It moves within still in the protection domain of the invention.

Claims (10)

1. a kind of energy gathering apparatus based on nonlinear energy trap, it includes bottom plate and is arranged on bottom plate non-linear Energy wells mechanism, vibration energy harvesting unit;The nonlinear energy trap mechanism includes the fixed buckled beam in both ends and symmetrically sets Set the mass block, center magnet and external magnet in its both sides, one end of wherein mass block is fixed on buckled beam, the other end with One end of center magnet is connected, and the inner face of external magnet and the end face face of center magnet are arranged;The vibration energy harvesting Unit includes coil, and coil is arranged between mass block and external magnet, and the cantilever end of center magnet is interspersed in coil Empty position;The axis coincidence of external magnet, center magnet, mass block and coil.
2. according to its energy gathering apparatus described in claim 1, which is characterized in that the precompression at the buckled beam both ends It is adjustable.
3. according to its energy gathering apparatus described in claim 1, which is characterized in that the both ends of the buckled beam are solid respectively It is scheduled in the first mounting base, the first mounting base is adjustable along the position of buckled beam length direction;Distinguish face cloth in the both ends of buckled beam Baffle is set, baffle opens up contour tapped through hole respectively with mounting base, by the first bolt and lock nut along buckling beam length Direction connects baffle and mounting base, the first bolt are overlapped with the central axes of buckled beam.
4. according to its energy gathering apparatus described in claim 1, which is characterized in that the matter of the buckled beam and its both sides Fixation is bolted in gauge block.
5. according to its energy gathering apparatus described in claim 1, which is characterized in that the coil both ends and external energy storage Circuit is connected, and external accumulator includes load resistance, inductance and capacity cell.
6. according to its energy gathering apparatus described in claim 1, which is characterized in that the external magnet is along its axis side To position it is adjustable.
7. the energy gathering apparatus according to its claim 6, which is characterized in that the external magnet is fixed on second In mounting base, externally magnet central axes symmetrically open up U-shaped sliding slot to the second mounting base, are connected and fixed with bottom plate by U-shaped sliding slot.
8. according to its energy gathering apparatus described in claim 1, which is characterized in that the coil is along its axis direction Position is adjustable.
9. according to its energy gathering apparatus according to any one of claims 8, which is characterized in that the coil is arranged in bobbin winoler On, the lower part circle along the shaft line of bobbin winoler symmetrically opens up U-shaped sliding slot, is connected and fixed with bottom plate by U-shaped sliding slot.
10. according to its energy gathering apparatus described in claim 1, which is characterized in that the center magnet and external magnetic Iron axial charging, generates repulsive force between each other.
CN201810554634.XA 2018-06-01 2018-06-01 Vibration energy collecting device based on nonlinear energy trap Expired - Fee Related CN108716521B (en)

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Cited By (15)

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Publication number Priority date Publication date Assignee Title
CN109780130A (en) * 2019-02-28 2019-05-21 西安理工大学 A kind of nonlinear energy trap shock-absorbing means for whole star vibration suppression
CN109883633A (en) * 2019-02-15 2019-06-14 哈尔滨工程大学 A kind of non-linear vibrating system based on Flow vibration collection of energy
CN110566616A (en) * 2019-09-17 2019-12-13 天津理工大学 passive variable-rigidity non-smooth vibration absorber
CN110566617A (en) * 2019-09-17 2019-12-13 天津理工大学 magnetism-rigidity-based non-smooth vibration absorber
CN110578770A (en) * 2019-09-23 2019-12-17 上海大学 Electromagnetic-piezoelectric composite vibration control device based on synchronous switch damping technology
CN111219296A (en) * 2020-04-14 2020-06-02 扬州大学 Device suitable for restraining vortex-induced vibration of wind turbine tower
CN111424832A (en) * 2020-03-23 2020-07-17 广州大学 Tuned mass damper with adjustable nonlinear energy trap and inertial volume
CN111719725A (en) * 2020-05-18 2020-09-29 长江大学 Building vibration suppression and energy recovery device based on electromagnetic damping
CN113309814A (en) * 2021-04-26 2021-08-27 上海卫星工程研究所 Sandwich type piezoelectric driving and energy collecting vibration damping device and method
CN113323989A (en) * 2021-05-25 2021-08-31 中国农业大学 Vibration reduction device for armrest frame of electric mini-tiller and automatic electromagnetic damping optimization method
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
CN113982344A (en) * 2021-10-11 2022-01-28 东南大学 Two-dimensional magnetic force type nonlinear energy trap device and vibration absorption and energy consumption method
CN114962519A (en) * 2022-02-22 2022-08-30 上海大学 Bistable nonlinear vibration absorber for inhibiting micro-amplitude vibration
CN115059726A (en) * 2022-02-22 2022-09-16 上海大学 Tristable nonlinear vibration absorption device for inhibiting micro-amplitude vibration
CN115296505A (en) * 2022-07-19 2022-11-04 山东大学 Nonlinear energy trap and magnet coil combined energy capturer and control method thereof

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CN109883633A (en) * 2019-02-15 2019-06-14 哈尔滨工程大学 A kind of non-linear vibrating system based on Flow vibration collection of energy
CN109780130A (en) * 2019-02-28 2019-05-21 西安理工大学 A kind of nonlinear energy trap shock-absorbing means for whole star vibration suppression
CN110566616A (en) * 2019-09-17 2019-12-13 天津理工大学 passive variable-rigidity non-smooth vibration absorber
CN110566617A (en) * 2019-09-17 2019-12-13 天津理工大学 magnetism-rigidity-based non-smooth vibration absorber
CN110578770A (en) * 2019-09-23 2019-12-17 上海大学 Electromagnetic-piezoelectric composite vibration control device based on synchronous switch damping technology
CN111424832A (en) * 2020-03-23 2020-07-17 广州大学 Tuned mass damper with adjustable nonlinear energy trap and inertial volume
CN111219296A (en) * 2020-04-14 2020-06-02 扬州大学 Device suitable for restraining vortex-induced vibration of wind turbine tower
CN111719725A (en) * 2020-05-18 2020-09-29 长江大学 Building vibration suppression and energy recovery device based on electromagnetic damping
CN113309814A (en) * 2021-04-26 2021-08-27 上海卫星工程研究所 Sandwich type piezoelectric driving and energy collecting vibration damping device and method
CN113323989A (en) * 2021-05-25 2021-08-31 中国农业大学 Vibration reduction device for armrest frame of electric mini-tiller and automatic electromagnetic damping optimization method
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
CN113982344A (en) * 2021-10-11 2022-01-28 东南大学 Two-dimensional magnetic force type nonlinear energy trap device and vibration absorption and energy consumption method
CN113982344B (en) * 2021-10-11 2023-03-14 东南大学 Two-dimensional magnetic force type nonlinear energy trap device and vibration absorption and energy consumption method
CN114962519A (en) * 2022-02-22 2022-08-30 上海大学 Bistable nonlinear vibration absorber for inhibiting micro-amplitude vibration
CN115059726A (en) * 2022-02-22 2022-09-16 上海大学 Tristable nonlinear vibration absorption device for inhibiting micro-amplitude vibration
CN115059726B (en) * 2022-02-22 2023-10-24 上海大学 Tristable nonlinear vibration absorbing device for inhibiting micro-amplitude vibration
CN114962519B (en) * 2022-02-22 2024-01-30 上海大学 Bistable nonlinear vibration absorber for inhibiting micro-amplitude vibration
CN115296505A (en) * 2022-07-19 2022-11-04 山东大学 Nonlinear energy trap and magnet coil combined energy capturer and control method thereof

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