High-Static-Low-Dynamic Stiffness Isolation with Asymmetric Stiffness Structure

Abstract

An asymmetric stiffness structure, comprising a permanent magnet (PM) and an electromagnetic coil (EC), has been designed to create a vibration isolator with high-static-low-dynamic stiffness (HSLDS). The mathematical model of the system is established using the molecular current method and is compared with simulation results. Additionally, a nonlinear dynamic model of the single-degree-of-freedom vibration isolation system is developed. The influence of factors such as excitation and current on the displacement transmissibility of the system is analyzed using the incremental harmonic balance method (IHB). To validate the findings, an experimental test system is constructed. The results of the validation demonstrate that by adjusting the current in the EC, without altering the structural parameters of the system, the natural isolation frequency of the vibration isolation system can be reduced. This adjustment broadens the vibration isolation frequency band.

Keywords

high-static-low-dynamic stiffness electromagnetism vibration isolation current

Get full access to this article

View all access options for this article.

References

Carrella

Brennan

M. J.

Kovacic

, et al. (2009). On the force transmissibility of a vibration isolator with quasi-zero-stiffness. Journal of Sound and Vibration, 322(4–5), 707–717. https://doi.org/10.1016/j.jsv.2008.11.034

Cooper

Neil

Woodruff

(1973). Optimum permanent-magnet dimensions for repulsion applications. IEEE Transactions on Magnetics, 9(2), 125–127. https://doi.org/10.1109/TMAG.1973.1067575

Lau, S.

Zhang

W. S.

(1992). Nonlinear vibrations of piecewise-linear systems by incremental harmonic balance method. Journal of Applied Mechanics, 59(1), 153–160. https://doi.org/10.1115/1.2899421

Ledezma

D. B.

Luna

(2013). Theoretical and experimental analysis of shock isolation using non linear stiffness. Journal of the Acoustics Society of America, 134, 065002. https://doi.org/10.1121/1.4831398

Ledezma-Ramirez

D. F.

Ferguson

N. S.

Brennan

M. J.

(2012). An experimental switchable stiffness device for shock isolation. Journal of Sound & Vibration, 331(23), 4987–5001. https://doi.org/10.1016/j.jsv.2012.06.010

Robertson

Cazzolato

Zander

(2011). A simplified force equation for coaxial cylindrical magnets and thin coils. IEEE Transactions on Magnetics, 47(8), 2045–2049. https://doi.org/10.1109/TMAG.2011.2129524

Ting

Lingxiang

(2017). Design and performance analysis of a composite low-frequency vibration isolator. Journal of Vibration and Shock, 36(19), 232–235. https://doi.org/10.13465/j.cnki.jvs.2017.19.035

Yan

Wang

Kang

C. X.

, et al. (2017). Self-Sensing electromagnetic transducer for vibration control of space antenna reflector. IEEE/ASME Transactions on Mechatronics, 22(5), 1944–1951. https://doi.org/10.1109/TMECH.2017.2712718

Zhou

Liu

(2010). A tunable high-static–low-dynamic stiffness vibration isolator. Journal of Sound and Vibration, 329(9), 1254–1273. https://doi.org/10.1016/j.jsv.2009.11.001

10.

Zhou

Liu

(2011). Characterization of an electromagnetic vibration isolator. Journal of Electromagnetic Analysis and Applications, 3(12), 519–528. https://doi.org/10.4236/jemaa.2011.312079

11.

Zhou J

Zhang

(2005). Incremental harmonic balance method for predicting amplitudes of a multi-dof non-linear wheel shimmy system with combined Coulomb and quadratic damping. Journal of Sound and Vibration, 279(1–2), 403–416. https://doi.org/10.1016/j.jsv.2003.11.005