Abstract
This paper investigates the shock isolation characteristics of an electromagnetic bistable vibration isolator (BVI) with tunable magnetic controlled stiffness. The theoretical model of the BVI is established. The maximum acceleration ratio (MAR), maximum absolute displacement ratio (MADR), and maximum relative displacement ratio (MRDR) are introduced to evaluate the shock isolation performance of the BVI. The kinetic and potential energy are observed to further explore the performance of the BVI. The effects of the potential barrier, shape of potential well, and damping ratio on the BVI are discussed compared with the linear vibration isolators (LVIs). The results demonstrate that the intrawell oscillations and snap-through oscillations are determined by the excitation amplitude and duration time of main pulse. MADR and MRDR of the BVI are smaller than those of the LVI. The maximum acceleration peak amplitude of the BVI is far below that of the LVI, especially when the snap-through oscillation occurs. In brief, the proposed BVI has a better shock isolation performance than the LVI and has the potential to suppress the shock of space structures during the launch and on-orbit deploying process.
Issue Section:
Research Papers
References
1.
Ding
, J.
, and Tzou
, H.
, 2002
, “Micro-Electromechanics of Sensor Patches of Free Paraboloidal Shell Structronic Systems
,” Proceedings of the ASME 2002 International Mechanical Engineering Congress and Exposition. Recent Advances in Solids and Structures
, New Orleans, LA
, Nov. 17–22
, pp. 191
–199
.2.
Zhang
, S. X.
, Duan
, B. Y.
, Yang
, G. G.
, Zong
, Y. L.
, and Zhang
, Y. Q.
, 2013
, “An Approximation of Pattern Analysis for Distorted Reflector Antennas Using Structural-Electromagnetic Coupling Model
,” IEEE Trans. Antennas Propag.
, 61
(9
), pp. 4844
–4847
. 3.
Meguro
, A.
, Shintate
, K.
, Usui
, M.
, and Tsujihata
, A.
, 2009
, “In-Orbit Deployment Characteristics of Large Deployable Antenna Reflector Onboard Engineering Test Satellite VIII
,” Acta Astronaut.
, 65
(9–10
), pp. 1306
–1316
. 4.
Jha
, A. K.
, Inman
, D. J.
, and Plaut
, R. H.
, 2002
, “Free Vibration Analysis of an Inflated Toroidal Shell
,” ASME J. Vib. Acoust.
, 124
(3
), pp. 387
–396
. 5.
Sharma
, A.
, Kumar
, R.
, Vaish
, R.
, and Chauhan
, V. S.
, 2015
, “Active Vibration Control of Space Antenna Reflector Over Wide Temperature Range
,” Compos. Struct.
, 128
, pp. 291
–304
. 6.
Wang
, J.
, Sun
, S.
, Tang
, L.
, Hu
, G.
, and Liang
, J.
, 2021
, “On the Use of Metasurface for Vortex-Induced Vibration Suppression or Energy Harvesting
,” Energy Convers. Manage.
, 235
, p. 113991
. 7.
Algermissen
, S.
, Monner
, H. P.
, Knott
, P.
, and Sekora
, R.
, 2011
, “Closed-Loop Subspace Identification for Vibration Control of Structure Integrated Antenna Arrays
,” 2011 Aerospace Conference
, Big Sky, MT
, Mar. 5–12
, IEEE, pp. 1
–12
.8.
Lv
, L.
, Wang
, Y.
, Shi
, H.
, Xian
, K.
, and Peng
, F.
, 2015
, “Numerical and Experimental Study on Optimal Control for Active Vibration Suppression of the Antenna Structure
,” 34th Chinese Control Conference (CCC)
, Hangzhou, China
, July 28–30
, IEEE, pp. 2407
–2412
.9.
Luo
, Y. J.
, Xu
, M. L.
, Yan
, B.
, and Zhang
, X. N.
, 2015
, “PD Control for Vibration Attenuation in Hoop Truss Structure Based on a Novel Piezoelectric Bending Actuator
,” J. Sound Vib.
, 339
, pp. 11
–24
. 10.
An
, Z. Y.
, Xu
, M. L.
, Luo
, Y. J.
, and Wu
, C. S.
, 2015
, “Active Vibration Control for a Large Annular Flexible Structure via a Macro-Fiber Composite Strain Sensor and Voice Coil Actuator
,” Int. J. Appl. Mech.
, 7
(4
), p. 1550066
. 11.
Li
, D.
, Jiang
, J.
, Liu
, W.
, and Fan
, C.
, 2015
, “A new Mechanism for the Vibration Control of Large Flexible Space Structures With Embedded Smart Devices
,” IEEE/ASME Trans. Mechatron.
, 20
(4
), pp. 1653
–1659
. 12.
Junkins
, J. L.
, and Kim
, Y.
, 1993
, Introduction to Dynamics and Control of Flexible Structures
, AIAA Education Series
, Washington, DC
.13.
Preumont
, A.
, 2002
, Responsive Systems for Active Vibration Control
, Springer Science & Business Media
, Brussels, Belgium
.14.
Lan
, C. C.
, Yang
, S. A.
, and Wu
, Y. S.
, 2014
, “Design and Experiment of a Compact Quasi-Zero-Stiffness Isolator Capable of a Wide Range of Loads
,” J. Sound Vib.
, 333
(20
), pp. 4843
–4858
. 15.
Ibrahim
, R. A.
, 2008
, “Recent Advances in Nonlinear Passive Vibration Isolators
,” J. Sound Vib.
, 314
(3–5
), pp. 371
–452
. 16.
Zhang
, L. J.
, Zhu
, C. M.
, Shi
, X.
, and Zhang
, P.
, 2010
, “A Novel Shock Isolator for Heavy Structure Installation
,” Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci.
, 224
(C2
), pp. 283
–292
. 17.
Ma
, H. Y.
, Yan
, B.
, Zhang
, L.
, Zheng
, W. G.
, Wang
, P. F.
, and Wu
, C. Y.
, 2020
, “On the Design of Nonlinear Damping With Electromagnetic Shunt Damping
,” Int. J. Mech. Sci.
, 175
, p. 105513
. 18.
Ma
, H. Y.
, and Yan
, B.
, 2021
, “Nonlinear Damping and Mass Effects of Electromagnetic Shunt Damping for Enhanced Nonlinear Vibration Isolation
,” Mech. Syst. Signal Process
, 146
, p. 107010
. 19.
Yan
, B.
, Ma
, H. Y.
, Yu
, N.
, Zhang
, L.
, and Wu
, C. Y.
, 2020
, “Theoretical Modeling and Experimental Analysis of Nonlinear Electromagnetic Shunt Damping
,” J. Sound Vib.
, 471
, p. 115184
. 20.
Yan
, B.
, Ma
, H. Y.
, Zhang
, L.
, Wu
, C. Y.
, and Zhang
, X. N.
, 2020
, “Electromagnetic Shunt Damping for Shock Isolation of Nonlinear Vibration Isolators
,” J. Sound Vib.
, 479
, p. 115370
. 21.
Yan
, B.
, Ma
, H. Y.
, Zheng
, W. G.
, Jian
, B.
, Wang
, K.
, and Wu
, C. Y.
, 2019
, “Nonlinear Electromagnetic Shunt Damping for Nonlinear Vibration Isolators
,” IEEE/ASME Trans. Mechatron.
, 24
(4
), pp. 1851
–1860
. 22.
Ismail
, M. I.
, and Ferguson
, N. S.
, 2017
, “Passive Shock Isolation Utilising Dry Friction
,” Shock Vib.
, 2017
, pp. 1
–21
. 23.
Silveira
, M.
, Pontes
, B. R.
, and Balthazar
, J. M.
, 2014
, “Use of Nonlinear Asymmetrical Shock Absorber to Improve Comfort on Passenger Vehicles
,” J. Sound Vib.
, 333
(7
), pp. 2114
–2129
. 24.
Yan
, B.
, Wang
, Z.
, Ma
, H.
, Bao
, H.
, Wang
, K.
, and Wu
, C.
, 2020
, “A Novel Lever-Type Vibration Isolator With Eddy Current Damping
,” J. Sound Vib.
, 494
, p. 115862
. 25.
Wu
, Z. J.
, Jing
, X. J.
, Sun
, B.
, and Li
, F. M.
, 2016
, “A 6DOF Passive Vibration Isolator Using X-Shape Supporting Structures
,” J. Sound Vib.
, 380
, pp. 90
–111
. 26.
Fulcher
, B. A.
, Shahan
, D. W.
, Haberman
, M. R.
, Seepersad
, C. C.
, and Wilson
, P. S.
, 2014
, “Analytical and Experimental Investigation of Buckled Beams as Negative Stiffness Elements for Passive Vibration and Shock Isolation Systems
,” ASME J. Vib. Acoust.
, 136
(3
), p. 031009
. 27.
Robertson
, W. S.
, Kidner
, M. R. F.
, Cazzolato
, B. S.
, and Zander
, A. C.
, 2009
, “Theoretical Design Parameters for a Quasi-Zero Stiffness Magnetic Spring for Vibration Isolation
,” J. Sound Vib.
, 326
(1–2
), pp. 88
–103
. 28.
Yao
, Y. H.
, Li
, H. G.
, Li
, Y.
, and Wang
, X. J.
, 2020
, “Analytical and Experimental Investigation of a High-Static-Low-Dynamic Stiffness Isolator With Cam-Roller-Spring Mechanism
,” Int. J. Mech. Sci.
, 186
, p. 105888
. 29.
Yan
, L.
, Xuan
, S.
, and Gong
, X.
, 2018
, “Shock Isolation Performance of a Geometric Anti-Spring Isolator
,” J. Sound Vib.
, 413
, pp. 120
–143
. 30.
Li
, M.
, Cheng
, W.
, and Xie
, R. L.
, 2021
, “A Quasi-Zero-Stiffness Vibration Isolator Using a Cam Mechanism With User-Defined Profile
,” Int. J. Mech. Sci.
, 189
, p. 105938
. 31.
Zhou
, J. X.
, Xu
, D. L.
, and Bishop
, S.
, 2015
, “A Torsion Quasi-Zero Stiffness Vibration Isolator
,” J. Sound Vib.
, 338
, pp. 121
–133
. 32.
Kim
, K. R.
, You
, Y. H.
, and Ahn
, H. J.
, 2013
, “Optimal Design of a QZS Isolator Using Flexures for a Wide Range of Payload
,” Int. J. Precis. Eng. Manuf.
, 14
(6
), pp. 911
–917
. 33.
Ahn
, H. J.
, 2008
, “Performance Limit of a Passive Vertical Isolator Using a Negative Stiffness Mechanism
,” J. Mech. Sci. Technol.
, 22
(12
), pp. 2357
–2364
. 34.
Huang
, X.
, Liu
, X.
, Sun
, J.
, Zhang
, Z.
, and Hua
, H.
, 2014
, “Vibration Isolation Characteristics of a Nonlinear Isolator Using Euler Buckled Beam as Negative Stiffness Corrector: A Theoretical and Experimental Study
,” J. Sound Vib.
, 333
(4
), pp. 1132
–1148
. 35.
Carrella
, A.
, Brennan
, M. J.
, Kovacic
, I.
, and Waters
, T. P.
, 2009
, “On the Force Transmissibility of a Vibration Isolator With Quasi-Zero-Stiffness
,” J. Sound Vib.
, 322
(4–5
), pp. 707
–717
. 36.
Carrella
, A.
, Brennan
, M. J.
, and Waters
, T. P.
, 2007
, “Static Analysis of a Passive Vibration Isolator With Quasi-Zero-Stiffness Characteristic
,” J. Sound Vib.
, 301
(3–5
), pp. 678
–689
. 37.
Tang
, B.
, and Brennan
, M. J.
, 2014
, “On the Shock Performance of a Nonlinear Vibration Isolator With High-Static-Low-Dynamic-Stiffness
,” Int. J. Mech. Sci.
, 81
, pp. 207
–214
. 38.
Ma
, Y.
, He
, M.
, Shen
, W.
, and Ren
, G.
, 2015
, “A Planar Shock Isolation System With High-Static-Low-Dynamic-Stiffness Characteristic Based on Cables
,” J. Sound Vib.
, 358
, pp. 267
–284
. 39.
Deng
, T. C.
, Wen
, G. L.
, Ding
, H.
, Lu
, Z. Q.
, and Chen
, L. Q.
, 2020
, “A Bio-Inspired Isolator Based on Characteristics of Quasi-Zero Stiffness and Bird Multi-Layer Neck
,” Mech. Syst. Signal Process
, 145
, p. 106967
. 40.
Jiang
, G. Q.
, Jing
, X. J.
, and Guo
, Y. Q.
, 2020
, “A Novel Bio-Inspired Multi-Joint Anti-Vibration Structure and Its Nonlinear HSLDS Properties
,” Mech. Syst. Signal Process
, 138
, p. 106552
. 41.
Yan
, G.
, Zou
, H. X.
, Wang
, S.
, Zhao
, L. C.
, Gao
, Q. H.
, Tan
, T.
, and Zhang
, W. M.
, 2020
, “Large Stroke Quasi-Zero Stiffness Vibration Isolator Using Three-Link Mechanism
,” J. Sound Vib.
, 478
, p. 115344
. 42.
Yan
, B.
, Ma
, H. Y.
, Jian
, B.
, Wang
, K.
, and Wu
, C. Y.
, 2019
, “Nonlinear Dynamics Analysis of a Bi-State Nonlinear Vibration Isolator With Symmetric Permanent Magnets
,” Nonlinear Dyn.
, 97
(4
), pp. 2499
–2519
. 43.
Yan
, B.
, Ma
, H. Y.
, Zhang
, L.
, Zheng
, W. G.
, Wang
, K.
, and Wu
, C. Y.
, 2020
, “A Bistable Vibration Isolator With Nonlinear Electromagnetic Shunt Damping
,” Mech. Syst. Signal Process
, 136
, p. 106504
. 44.
Harne
, R. L.
, and Wang
, K.-W.
, 2017
, Harnessing Bistable Structural Dynamics: For Vibration Control, Energy Harvesting and Sensing
, John Wiley & Sons
, New York
.45.
Furlani
, E. P.
, 2001
, Permanent Magnet and Electromechanical Devices: Materials, Analysis, and Applications
, Academic Press
, San Diego, CA
.46.
Yan
, B.
, Zhang
, X. N.
, Luo
, Y. J.
, Zhang
, Z. F.
, Xie
, S. L.
, and Zhang
, Y. H.
, 2014
, “Negative Impedance Shunted Electromagnetic Absorber for Broadband Absorbing: Experimental Investigation
,” Smart Mater. Struct.
, 23
(12
), p. 125044
. 47.
Yan
, B.
, Ma
, H. Y.
, Zhao
, C. X.
, Wu
, C. Y.
, Wang
, K.
, and Wang
, P. F.
, 2018
, “A Vari-Stiffness Nonlinear Isolator With Magnetic Effects: Theoretical Modeling and Experimental Verification
,” Int. J. Mech. Sci.
, 148
, pp. 745
–755
. 48.
Xingtian
, L.
, Xiuchang
, H.
, and Hongxing
, H.
, 2014
, “Performance of a Zero Stiffness Isolator Under Shock Excitations
,” J. Vib. Control
, 20
(14
), pp. 2090
–2099
. 49.
Tseng
, W.-Y.
, and Dugundji
, J.
, 1971
, “Nonlinear Vibrations of a Buckled Beam Under Harmonic Excitation
,” ASME J. Appl. Mech.
, 38
(2
), pp. 467
–476
. 50.
Vakakis
, A. F.
, 2017
, “Intentional Utilization of Strong Nonlinearity in Structural Dynamics
,” Procedia Eng.
, 199
, pp. 70
–77
. 51.
Zheng
, W.
, Yan
, B.
, Ma
, H.
, Wang
, R.
, Jia
, J.
, Zhang
, L.
, and Wu
, C.
, 2019
, “Tuning of Natural Frequency With Electromagnetic Shunt Mass
,” Smart Mater. Struct.
, 28
(2
), p. 025026
. Copyright © 2021 by ASME
You do not currently have access to this content.
