CN109780130A - A kind of nonlinear energy trap shock-absorbing means for whole star vibration suppression - Google Patents

A kind of nonlinear energy trap shock-absorbing means for whole star vibration suppression Download PDF

Info

Publication number
CN109780130A
CN109780130A CN201910152269.4A CN201910152269A CN109780130A CN 109780130 A CN109780130 A CN 109780130A CN 201910152269 A CN201910152269 A CN 201910152269A CN 109780130 A CN109780130 A CN 109780130A
Authority
CN
China
Prior art keywords
spring
shock
guide rail
absorbing means
energy trap
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Granted
Application number
CN201910152269.4A
Other languages
Chinese (zh)
Other versions
CN109780130B (en
Inventor
穆安乐
王鹏
杨明星
王丹
冯阳
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Xian University of Technology
Original Assignee
Xian University of Technology
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Xian University of Technology filed Critical Xian University of Technology
Priority to CN201910152269.4A priority Critical patent/CN109780130B/en
Publication of CN109780130A publication Critical patent/CN109780130A/en
Application granted granted Critical
Publication of CN109780130B publication Critical patent/CN109780130B/en
Expired - Fee Related legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Abstract

The invention discloses a kind of nonlinear energy trap shock-absorbing means for whole star vibration suppression, including two geometric linear springs, a support Hookean spring, mass block, guide rail, bracket and bottom plate composition;The shock-absorbing means is installed along adapter conical shell wall;It is moved along the rail by mass block and three Hookean spring movements is driven to realize purer cube stiffness characteristics, to constitute nonlinear energy trap device to achieve the effect that absorbing.The present invention has haved the function that vertical and horizontal vibration suppression by arranging nonlinear energy trap shock-absorbing means on satellite adapter conical shell wall and introducing Hookean spring along guide rail direction;The nonlinear energy trap apparatus structure is simple simultaneously, can easily be accommodated and installs, and has many advantages, such as that robustness is good, effectively wide-band vibration can inhibit and be not required to additional power source.

Description

A kind of nonlinear energy trap shock-absorbing means for whole star vibration suppression
Technical field
The invention belongs to rocket launching powered phase Satellite Vibration control technology fields, are related to a kind of for whole star vibration suppression Nonlinear energy trap shock-absorbing means.
Background technique
In the powered phase of carrier rocket transmitting, environment locating for satellite is the most severe.In this stage, satellite can simultaneously by The influence of a variety of load, and these load are distributed in wider frequency domain more.These oscillating loads frequently can lead to satellite And sensing element failure thereon, and the most crucial position of carrier rocket is exactly satellite, satellite is damaged, and means that rocket is sent out Penetrate the failure of task.Since nonlinear energy trap shock-absorbing means has the advantage of wideband absorbing, and there is quality and small in size etc. Advantage, therefore the Satellite Vibration suppression technology based on nonlinear energy trap shock-absorbing means is just most important at carrier rocket transmitting One of project.Usual nonlinear energy trap shock-absorbing means is adopted more since self gravitation effect will affect the feature of non-linear rigidity Ensure that it, with non-linear rigidity, therefore can only solve the problems, such as oscillation crosswise with being horizontally arranged, but carrier rocket emits Powered phase, satellite bears from longitudinal load more, and nonlinear energy trap shock-absorbing means can not very good solution master at present The problem of dynamic section longitudinally shakes.
Summary of the invention
The object of the present invention is to provide a kind of nonlinear energy trap shock-absorbing means for whole star vibration suppression, solve existing There is the problem of nonlinear energy trap shock-absorbing means present in technology can not inhibit powered phase satellite extensional vibration.
The technical scheme adopted by the invention is that a kind of nonlinear energy trap shock-absorbing means for whole star vibration suppression, Including bottom plate, there are two rail brackets, rail brackets to be provided with groove, be provided with guide rail in groove, lead for opposite setting on bottom plate Rail passes through described two rail brackets, and the both ends of guide rail are screwed on guide supporting, guide supporting screws bolts It is fixed on rail brackets;Mass block is socketed on guide rail, mass block can be moved back and forth along guide rail;The both ends of mass block point It is not connected with the overhead gage of geometric linear spring, the lower baffle plate of geometry spring is bolted in hinged groove, and hinged groove is set It sets on spring support, spring support is bolted on bottom plate, and the present apparatus is integrally one using guide rail as the symmetrical of axis Structure;Support Hookean spring is provided between mass block and rail brackets, support Hookean spring is socketed on guide rail, supports line Property spring one end quality of connection block, the other end be fixed on guide supporting upper surface setting boss on, below with boss into Row connection;Boss is connect with rail brackets with two screws.
Bottom plate is provided with elongated slot, and the elongated slot and spring support of bottom plate and the hole of rail brackets lower end are attached with bolt.
Guide rail surface is evenly arranged with multiple holes, adjusts and leads by selecting the hole of suitable guide rail to connect with guide supporting The length of rail.
Geometric linear spring is fixed between overhead gage and lower baffle plate, the guiding axis of the pilot hole of overhead gage and lower baffle plate it Between carry out clearance fit.
The two sides of nonlinear energy trap shock-absorbing means bottom plate are provided with boss, and the boss is along adapter conical shell wall balanced welding It is connected on adapter conical shell wall.
Device inclination installation, the condition that the support Hookean spring of described device need to meet are as follows:
k1H=mg sin θ, k1=2kla/ l, la< 0, u < h
Wherein k1For the rigidity of support spring (9), h is the decrement of support spring (9), and m is mass block quality, and k is several The rigidity of what spring (8), laFor the decrement of geometry spring (8), l is that the original of geometry spring (8) is long, and u is mass block deviation The displacement of initial position, θ are the angle of satellite adapter conical shell bus and horizontal plane.
The beneficial effects of the present invention are:
1. the present invention using linear geometry spring and linear support spring cooperation by the way of, solve nonlinear energy because of The problem of being influenced spring cube stiffness characteristics by self gravity factor, realizes purer cube stiffness characteristics.
2. the present invention not only reduces self gravity to along guide rail direction by being arranged along satellite adapter conical shell wall The influence of cube rigidity, while can play and the effect inhibited jointly is vibrated to vertical and horizontal.
3. the present invention can be by adjusting separately the relative position of spring support and rail brackets come to geometry spring and branch Support spring applies different precompressions to obtain different rigidity, so that device is more flexible adjustable.
4. the present invention is fixed on overhead gage and lower baffle plate in the seasonal geometric linear spring of design, the pilot hole of overhead gage Clearance fit is carried out between the guiding axis of lower baffle plate, haveing an advantage that prevents geometry spring from bending during stretching.
5. the configuration of the present invention is simple, lighter weight are easily installed and adjust, the environment suitable for the vibration of whole star is subtracted Vibration.
Detailed description of the invention
Fig. 1 is whole star nonlinear energy trap shock-absorbing means structural schematic diagram of the invention;
Fig. 2 is whole star nonlinear energy trap shock-absorbing means cross-sectional view;
Fig. 3 is the structural diagram of base plate of whole star nonlinear energy trap shock-absorbing means
Fig. 4 is scheme of installation of the whole star nonlinear energy trap shock-absorbing means in adapter;
In figure, 1. guide rails, 2. guide supportings, 3. rail brackets, 4. bottom plates, 5. hinged grooves, 6. bolts, 7. spring supports, 8. geometric linear spring, 9. support Hookean springs, 10. mass blocks, 11. spring supportings, 12. overhead gages, 13. lower baffle plates, 14. circles Shape boss, 15. satellite conical shell adapters
Specific embodiment
The following describes the present invention in detail with reference to the accompanying drawings and specific embodiments.
A kind of nonlinear energy trap shock-absorbing means for whole star vibration suppression, it is characterised in that: including bottom plate 4, bottom plate 4 There are two rail brackets 3, rail brackets 3 are provided with groove for upper opposite setting, and guide rail 1 is provided in groove, and guide rail 1 passes through described Two rail brackets 3, the both ends of guide rail 1 are screwed on guide supporting 2, and guide supporting 2 is bolted to guide rail On bracket 3;Mass block 10 is socketed on guide rail 1, mass block 10 can be moved back and forth along guide rail 1;The both ends of mass block 10 point It is not connected with the overhead gage 12 of geometric linear spring 8, the lower baffle plate 13 of geometry spring 8 is fixed in hinged groove 5 by bolt 6, Hinged groove 5 is arranged on spring support 7, and spring support 7 is bolted on bottom plate 4, and the present apparatus is integrally one to lead Rail 1 is the symmetrical structure of axis;It is provided with support Hookean spring 9 between mass block 10 and rail brackets 3, supports Hookean spring 9 It is socketed on guide rail 1, supports one end quality of connection block 10 of Hookean spring 9, the other end is fixed on the setting of 3 upper surface of guide supporting Boss 14 on, be attached below with boss 14;Boss 14 is connect with rail brackets 3 with two screws.
Bottom plate 4 is provided with elongated slot, and the elongated slot and spring support 7 of bottom plate 4 and the hole of 3 lower end of rail brackets are connected with bolt It connects, facilitates the position of adjustment support to adjust the precompression of geometry spring 8 and support spring 9.
1 surface of guide rail is evenly arranged with multiple holes, is adjusted by selecting hole and the connection of guide supporting 2 of suitable guide rail 1 The length of whole guide rail 1.
Geometric linear spring 8 is fixed between overhead gage 12 and lower baffle plate 13, the pilot hole and lower baffle plate 13 of overhead gage 12 Guiding axis between carry out clearance fit, haveing an advantage that prevents geometry spring 8 from bending during stretching.
The two sides of nonlinear energy trap shock-absorbing means bottom plate 4 are provided with boss, and the boss is symmetrical along adapter conical shell wall It is welded on adapter conical shell wall, only weight component has an impact a cube stiffness characteristics, not only reduces gravity, but also can be with Have the function that absorb vertical and horizontal vibration.
Institute's device of the present invention is vertically-mounted, the condition that the support Hookean spring 9 need to meet are as follows:
k1H=mg sin θ, k1=2kla/ l, la< 0, u < h
Wherein k1For the rigidity of support spring 9, h is the decrement of support spring 9, and m is mass block quality, and k is geometry bullet The rigidity of spring 8, laFor the decrement of geometry spring 8, l is that the original of geometry spring 8 is long, and u is that mass block deviates initial position Displacement, θ are the angle of satellite adapter conical shell bus and horizontal plane.
Mass block 10 is attached on guide rail 1 and moves along guide rail 1, and initial position is equilbrium position, such as Fig. 1 institute Show.It is moved downward when mass block 10 deviates initial position, mass block 10 drives the two geometric linear springs 8 in left and right to do stretching fortune Dynamic, mass block 10 drives support spring 9 to do compression movement;It is moved upwards when mass block 10 deviates initial position, 10 band of mass block Dynamic support spring 9 does extensional motion.
As shown in Figure 1, the decrement h of support spring 9 is used to support gravity caused by mass block, and support spring 9 is flat Weighing apparatus position is just mass block initial position, that is, is met: k1H=mgsin θ, wherein wherein k1For the rigidity of support spring 9, h is The decrement of support spring 9, m are mass block quality, and θ is the angle of adapter conical shell bus and horizontal plane.
As shown in Fig. 2, the right and left of mass block 10 respectively opens a slot, the overhead gage of geometry spring and the slot of mass block are used It is bolted composition revolute pair.Lower baffle plate and hinged groove are also attached composition revolute pair with bolt.It is several in order to prevent What spring 8 bends during stretching, carries out clearance fit between the pilot hole of overhead gage 12 and the guiding axis of lower block 13.
It, can be by adjusting as shown in figure 3, be provided with elongated slot at the hole cooperation of bottom plate and guide supporting 3 and spring supporting 11 Its position cooperated applies different precompressions to geometry spring 8.
When mass block is subjected to displacement u, the restoring force that geometry spring can be provided along guide rail direction relative to initial position are as follows:
F=2ku (l-l0)/l+ku3(l0/l3)+O(u3)
When considering that gravity factor and additional support spring 9 act on, generated restoring force are as follows:
F=u (k1+2kla/l)+ku3(l0/l3)+k1h-mgsinθ
Wherein l0Long for geometry spring original, l is compressed length, laFor reduction length and meet la=l-l0
Purer cube rigidity in order to obtain needs that Monomial coefficient is allowed to be 0, i.e. k1=-2kla/l
, and la< 0.
Therefore, support spring and geometric linear spring need to meet condition: k1H=mg sin θ, k1=2kla/ l, la < 0, u < h.
As shown in figure 4, bottom plate 4 is arranged symmetrically along the conical shell wall of adapter, the boss of insole board be welded in conical shell wall it On.
A kind of nonlinear energy trap shock-absorbing means working principle for whole star vibration suppression provided by the invention is as follows:
Carrier rocket generates violent vibration in transmitting powered phase, and vibration is transmitted at satellite and the rocket faying face along rocket body, shape At the displacement excitation source of satellite adapter, cause satellite adapter that high vibration occurs.Along with the vibration of satellite adapter, The beginning of mass block 10 is moved up and down along guide rail 1.When mass block 10, which deviates equilbrium position, to be moved down, the overhead gage 12 of spring Lower baffle plate 13 is driven to start to deflect down, the axis of overhead gage 12 is drawn out from the hole of lower baffle plate 13, and along with geometry spring 8 Stretching, meanwhile, mass block 10, which is moved down, produces compression to support spring 9, and mass block 10 starts after reaching certain position It replys.When mass offset equilbrium position moves up, spring overhead gage 12 drives lower baffle plate 13 to start to upward deflect, overhead gage Axis be drawn out from the hole of lower baffle plate 13, and along with the stretching of geometry spring 8, meanwhile, mass block 10 is moved down to branch Support spring produces stretching.Mass block 10 moves back and forth in this way, which absorbs most of energy, and is consumed, and plays The effect of absorbing.It is in tilted layout along adapter conical shell due to being, so the vibration of vertical direction had both can be absorbed in the device, The vibration of horizontal direction can be absorbed again.
This structure considers that 10 gravity of mass block makes the rigidity of structure by the cooperation of geometry spring and support spring Reach purer cube stiffness characteristics, realizes the requirement of nonlinear energy trap device.
The present invention using linear geometry spring and linear support spring cooperation by the way of, solve nonlinear energy because by Self gravity factor influences the problem of spring cube stiffness characteristics, realizes purer cube stiffness characteristics.Along satellite adapter Conical shell wall is arranged, and not only reduces self gravity to the influence along guide rail direction cube rigidity, while can be played to vertical To the effect inhibited jointly with oscillation crosswise, the relative position for adjusting spring supporting and guide supporting is come to geometry spring and support Spring applies different precompressions to obtain different rigidity, so that device is more flexible adjustable.Geometric linear spring is fixed on On overhead gage and lower baffle plate, clearance fit is carried out between the pilot hole of overhead gage and the guiding axis of lower baffle plate, is had an advantage that Prevent geometry spring from bending during stretching, in addition to this, the configuration of the present invention is simple, lighter weight, be easily installed and Adjustment, the environment suitable for the vibration of whole star carry out vibration damping.

Claims (6)

1. a kind of nonlinear energy trap shock-absorbing means for whole star vibration suppression, it is characterised in that: including bottom plate (4), bottom plate (4) there are two rail brackets (3), rail brackets (3) to be provided with groove, guide rail (1), guide rail are provided in groove for opposite setting on (1) described two rail brackets (3) are passed through, the both ends of guide rail (1) are screwed on guide supporting (2), guide supporting (2) it is bolted on rail brackets (3);It is socketed on guide rail (1) mass block (10), mass block (10) can be along guide rail (1) it moves back and forth;The both ends of mass block (10) are connected with the overhead gage (12) of geometric linear spring (8) respectively, geometry spring (8) Lower baffle plate (13) be fixed in hinged groove (5) by bolt (6), hinged groove (5) is arranged on spring support (7), spring branch Frame (7) is bolted on bottom plate (4), and the present apparatus is integrally a symmetrical structure with guide rail (1) for axis;In mass block (10) support Hookean spring (9) is provided between rail brackets (3), support Hookean spring (9) is socketed on guide rail (1), is propped up One end quality of connection block (10) of Hookean spring (9) is supportted, the other end is fixed on the boss (14) of rail brackets (3) upper surface setting On, it is attached below with boss (14);Boss (14) is connect with rail brackets (3) with two screws.
2. a kind of nonlinear energy trap shock-absorbing means for whole star vibration suppression according to claim 1, feature exist In the bottom plate (4) is provided with elongated slot, the elongated slot and spring support (7) of bottom plate (4) and the hole bolt of rail brackets (3) lower end It is attached.
3. a kind of nonlinear energy trap shock-absorbing means for whole star vibration suppression according to claim 1, feature exist In guide rail (1) surface is evenly arranged with multiple holes, is connected by the hole and guide supporting (2) that select suitable guide rail (1) To adjust the length of guide rail (1).
4. a kind of nonlinear energy trap shock-absorbing means for whole star vibration suppression according to claim 1, feature exist In the geometric linear spring (8) is fixed between overhead gage (12) and lower baffle plate (13), and the pilot hole of overhead gage (12) is under Clearance fit is carried out between the guiding axis of baffle (13).
5. a kind of nonlinear energy trap shock-absorbing means for whole star vibration suppression according to claim 1, feature exist In the two sides of the nonlinear energy trap shock-absorbing means bottom plate (4) are provided with boss, and the boss is symmetrical along adapter conical shell wall It is welded on adapter conical shell wall.
6. a kind of nonlinear energy trap shock-absorbing means for whole star vibration suppression according to claim 3, feature exist In: described device inclination installation;The condition that support Hookean spring (9) need to meet are as follows:
k1H=mgsin θ, k1=2kla/ l, la< 0, u < h
Wherein k1For the rigidity of support spring (9), h is the decrement of support spring (9), and m is mass block quality, and k is geometry spring (8) rigidity, laFor the decrement of geometry spring (8), l is that the original of geometry spring (8) is long, and u is that mass block deviates initial bit The displacement set, θ are the angle of satellite adapter conical shell bus and horizontal plane.
CN201910152269.4A 2019-02-28 2019-02-28 Nonlinear energy trap vibration absorption device for whole-satellite vibration suppression Expired - Fee Related CN109780130B (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN201910152269.4A CN109780130B (en) 2019-02-28 2019-02-28 Nonlinear energy trap vibration absorption device for whole-satellite vibration suppression

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN201910152269.4A CN109780130B (en) 2019-02-28 2019-02-28 Nonlinear energy trap vibration absorption device for whole-satellite vibration suppression

Publications (2)

Publication Number Publication Date
CN109780130A true CN109780130A (en) 2019-05-21
CN109780130B CN109780130B (en) 2021-01-15

Family

ID=66486620

Family Applications (1)

Application Number Title Priority Date Filing Date
CN201910152269.4A Expired - Fee Related CN109780130B (en) 2019-02-28 2019-02-28 Nonlinear energy trap vibration absorption device for whole-satellite vibration suppression

Country Status (1)

Country Link
CN (1) CN109780130B (en)

Cited By (16)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN110296182A (en) * 2019-06-28 2019-10-01 西安理工大学 A kind of tuning quality damper vibration damping system being incorporated to nonlinear energy trap
CN110566617A (en) * 2019-09-17 2019-12-13 天津理工大学 magnetism-rigidity-based non-smooth vibration absorber
CN110566616A (en) * 2019-09-17 2019-12-13 天津理工大学 passive variable-rigidity non-smooth vibration absorber
CN110886808A (en) * 2019-12-04 2020-03-17 上海大学 Amplitude limiting type nonlinear energy trap vibration damper
CN110939673A (en) * 2019-12-04 2020-03-31 上海大学 Nonlinear vibration damper of coupling segmental rigidity
CN111140616A (en) * 2020-01-14 2020-05-12 天津理工大学 Negative stiffness enhanced nonlinear vibration absorber
CN111219296A (en) * 2020-04-14 2020-06-02 扬州大学 Device suitable for restraining vortex-induced vibration of wind turbine tower
CN111306243A (en) * 2020-04-01 2020-06-19 青岛理工大学 Slideway type nonlinear energy trap vibration damper
CN111396498A (en) * 2019-12-06 2020-07-10 浙江运达风电股份有限公司 Nonlinear vibration damper for 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
CN111641351A (en) * 2020-05-18 2020-09-08 扬州大学 Vortex vibration piezoelectric power generation device with broadband energy collection function
CN111706468A (en) * 2020-05-18 2020-09-25 扬州大学 Vortex vibration power generation device with broadband energy collection characteristic
CN114086806A (en) * 2021-10-11 2022-02-25 东南大学 Two-dimensional eccentric rotation nonlinear energy trap device and vibration absorption and energy consumption method
CN114370478A (en) * 2021-12-29 2022-04-19 同济大学 Inertial volume type nonlinear energy trap vibration damping system with adjustable nonlinear rigidity
CN114542854A (en) * 2022-02-18 2022-05-27 中铁建港航局集团勘察设计院有限公司 Damping device for engineering machinery supporting leg
CN115095624A (en) * 2022-06-16 2022-09-23 哈尔滨工程大学 Elastic device, control method, vibration absorber, vibration isolator and vibration energy collector

Citations (9)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO2013191736A1 (en) * 2012-06-18 2013-12-27 Launchpoint Technologies, Inc. Electromagnetic valve apparatus with nonlinear spring
CN203753421U (en) * 2014-01-07 2014-08-06 沈阳航空航天大学 Nonlinear energy-trap damping device for inhibiting whole spacecraft vibration
CN104401240A (en) * 2014-11-24 2015-03-11 吉林大学 Two-dimensional nonlinear vibration-isolating suspension frame of seats of off-road vehicle
CN205883084U (en) * 2016-07-08 2017-01-11 上海大学 Realize whole star self -power owner integrated nonlinear vibration controlling means passively
CN106795713A (en) * 2014-10-09 2017-05-31 圣戈班普拉科公司 Non-linear dynamic absorber and its usage for sound insulation
CN106969088A (en) * 2017-04-12 2017-07-21 上海大学 A kind of isolation mounting for taking into account height frequency vibration
CN108692157A (en) * 2018-08-08 2018-10-23 广东机电职业技术学院 A kind of laboratory multimedia management equipment
CN108716521A (en) * 2018-06-01 2018-10-30 中国人民解放军海军工程大学 A kind of energy gathering apparatus based on nonlinear energy trap
CN108831684A (en) * 2018-06-14 2018-11-16 河南许智电力科技有限公司 A kind of fixed device of power transformer

Patent Citations (9)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO2013191736A1 (en) * 2012-06-18 2013-12-27 Launchpoint Technologies, Inc. Electromagnetic valve apparatus with nonlinear spring
CN203753421U (en) * 2014-01-07 2014-08-06 沈阳航空航天大学 Nonlinear energy-trap damping device for inhibiting whole spacecraft vibration
CN106795713A (en) * 2014-10-09 2017-05-31 圣戈班普拉科公司 Non-linear dynamic absorber and its usage for sound insulation
CN104401240A (en) * 2014-11-24 2015-03-11 吉林大学 Two-dimensional nonlinear vibration-isolating suspension frame of seats of off-road vehicle
CN205883084U (en) * 2016-07-08 2017-01-11 上海大学 Realize whole star self -power owner integrated nonlinear vibration controlling means passively
CN106969088A (en) * 2017-04-12 2017-07-21 上海大学 A kind of isolation mounting for taking into account height frequency vibration
CN108716521A (en) * 2018-06-01 2018-10-30 中国人民解放军海军工程大学 A kind of energy gathering apparatus based on nonlinear energy trap
CN108831684A (en) * 2018-06-14 2018-11-16 河南许智电力科技有限公司 A kind of fixed device of power transformer
CN108692157A (en) * 2018-08-08 2018-10-23 广东机电职业技术学院 A kind of laboratory multimedia management equipment

Non-Patent Citations (1)

* Cited by examiner, † Cited by third party
Title
张同恂: "《魔法物理 超级讲解 高一 上 人教版》", 30 June 2006 *

Cited By (22)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN110296182A (en) * 2019-06-28 2019-10-01 西安理工大学 A kind of tuning quality damper vibration damping system being incorporated to nonlinear energy trap
CN110566617A (en) * 2019-09-17 2019-12-13 天津理工大学 magnetism-rigidity-based non-smooth vibration absorber
CN110566616A (en) * 2019-09-17 2019-12-13 天津理工大学 passive variable-rigidity non-smooth vibration absorber
CN110886808B (en) * 2019-12-04 2021-08-06 上海大学 Amplitude limiting type nonlinear energy trap vibration damper
CN110886808A (en) * 2019-12-04 2020-03-17 上海大学 Amplitude limiting type nonlinear energy trap vibration damper
CN110939673A (en) * 2019-12-04 2020-03-31 上海大学 Nonlinear vibration damper of coupling segmental rigidity
CN110939673B (en) * 2019-12-04 2021-10-08 上海大学 Nonlinear vibration damper of coupling segmental rigidity
CN111396498B (en) * 2019-12-06 2021-08-17 浙江运达风电股份有限公司 Nonlinear vibration damper for wind turbine tower
CN111396498A (en) * 2019-12-06 2020-07-10 浙江运达风电股份有限公司 Nonlinear vibration damper for wind turbine tower
CN111140616A (en) * 2020-01-14 2020-05-12 天津理工大学 Negative stiffness enhanced nonlinear vibration absorber
CN111424832A (en) * 2020-03-23 2020-07-17 广州大学 Tuned mass damper with adjustable nonlinear energy trap and inertial volume
CN111424832B (en) * 2020-03-23 2021-08-17 广州大学 Tuned mass damper with adjustable nonlinear energy trap and inertial volume
CN111306243A (en) * 2020-04-01 2020-06-19 青岛理工大学 Slideway type nonlinear energy trap vibration damper
CN111219296A (en) * 2020-04-14 2020-06-02 扬州大学 Device suitable for restraining vortex-induced vibration of wind turbine tower
CN111219296B (en) * 2020-04-14 2021-12-17 扬州大学 Device suitable for restraining vortex-induced vibration of wind turbine tower
CN111641351A (en) * 2020-05-18 2020-09-08 扬州大学 Vortex vibration piezoelectric power generation device with broadband energy collection function
CN111706468A (en) * 2020-05-18 2020-09-25 扬州大学 Vortex vibration power generation device with broadband energy collection characteristic
CN114086806A (en) * 2021-10-11 2022-02-25 东南大学 Two-dimensional eccentric rotation nonlinear energy trap device and vibration absorption and energy consumption method
CN114370478A (en) * 2021-12-29 2022-04-19 同济大学 Inertial volume type nonlinear energy trap vibration damping system with adjustable nonlinear rigidity
CN114542854A (en) * 2022-02-18 2022-05-27 中铁建港航局集团勘察设计院有限公司 Damping device for engineering machinery supporting leg
CN115095624A (en) * 2022-06-16 2022-09-23 哈尔滨工程大学 Elastic device, control method, vibration absorber, vibration isolator and vibration energy collector
CN115095624B (en) * 2022-06-16 2023-09-22 哈尔滨工程大学 Elastic device, control method, vibration absorber, vibration isolator and vibration energy collector

Also Published As

Publication number Publication date
CN109780130B (en) 2021-01-15

Similar Documents

Publication Publication Date Title
CN109780130A (en) A kind of nonlinear energy trap shock-absorbing means for whole star vibration suppression
JP2019530841A (en) Tower vibration control device
CN110017603B (en) Supporting seat convenient to mount for heat pump hot water unit
CN104896002B (en) Frequency-adjustable compound vibration-damper
CN105605148B (en) A kind of vibration insulating system of vehicle-mounted CT equipment
CN104590029B (en) Electric Locomotive and pantograph type current collector
CN100414137C (en) Damping device and method for setting natural frequency of damping body in the damping device
CN1950719B (en) Device for emitting seismic vibration waves
CN213840077U (en) Mining equipment vibration damping mount
CN105156578A (en) Vertical adjustable frequency modulation mass damper
CN211009706U (en) Base damping device of coal mine mining machine
JP2003278827A (en) Damper for tower like structure
CN207671516U (en) A kind of adjustable mounting structure of elevator door-motor
CN111599334B (en) Novel noise reduction box and control method
CN101725663B (en) Shockproof device of mechanical equipment
CN205593546U (en) Test machine with shock -absorbing structure
US11643278B2 (en) Screw forwarding device for a screw feeder
CN110206839A (en) Damper and its application and the mass spectrometric shock-absorption device of vehicle-carried mobile and haulage vehicle
CN218261483U (en) Adjustable elevator main machine vibration reduction combined structure
CN220796442U (en) Transformer damper device of making an uproar falls
CN213452356U (en) Anti-seismic pipeline support
CN109131009A (en) Compartment vibration damping mounting, compartment and dumper
CN211436944U (en) Shock attenuation reciprocating sieve
CN212358679U (en) Guide rail type TMD vibration damper capable of achieving frequency modulation in grading mode
CN216304616U (en) Dynamic compactor and counterweight mechanism thereof

Legal Events

Date Code Title Description
PB01 Publication
PB01 Publication
SE01 Entry into force of request for substantive examination
SE01 Entry into force of request for substantive examination
GR01 Patent grant
GR01 Patent grant
CF01 Termination of patent right due to non-payment of annual fee

Granted publication date: 20210115

CF01 Termination of patent right due to non-payment of annual fee