A quasi-zero stiffness vibration isolation system based on bi-stable laminate

PDF(3334 KB)

Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (21) : 116-125.

DENG Zehua, LI Hao, ZHOU Xubin

Author information +

History +

Abstract

Here, according to the principle to decrease the overall stiffness of a system with a parallel negative stiffness mechanism, using negative stiffness feature of a bi-stable laminate and linear spring in series to form a new negative stiffness mechanism, a novel bi-stable laminate-based quasi-zero stiffness (QZS) vibration isolation system with tunable static stiffness was proposed.The mechanical principle of the proposed system was illustrated.Hamilton principle was used to derive the dynamic and static models of the system.The stiffness characteristics of the system were analyzed with theoretical and finite element methods.Results showed that the proposed vibration isolation system can realize different static stiffness characteristics and keep the QZS feature by matching stiffness of series and parallel linear springs.The verification tests of stiffness characteristics and vibration isolation performance were conducted for the manufactured principle prototypes.It was shown that the measured force-displacement curves agree well with the simulation results; the proposed quasi-zero stiffness vibration isolation system can effectively broaden the vibration isolation frequency band of a linear vibration isolation system with the same positive stiffness.Based on the test results, combining with the theoretical model, influence factors on vibration isolation performance were analyzed and discussed.

Key words

negative stiffness / quasi-zero stiffness(QZS) / vibration isolation system / bi-stable laminate

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

DENG Zehua, LI Hao, ZHOU Xubin. A quasi-zero stiffness vibration isolation system based on bi-stable laminate[J]. Journal of Vibration and Shock, 2020, 39(21): 116-125

References

[1] 孟光, 周徐斌. 卫星微振动及控制技术进展[J]. 航空学报, 2015, 36(8): 2609-2619.
MENG Guang, ZHOU Xu-bin. Progress review of satellite micro-vibration and control [J]. Acta Aeronautica et Astronautica Sinica, 2015, 36(8): 2609-2619.
[2] 朱石坚, 楼京俊. 振动理论与隔振技术[M]. 北京: 国防工业出版社, 2006.
ZHU Shi-jian, LOU Jing-jun. Vibration theory and vibration isolation [M]. Beijing: National Defense Industry Press, 2006.
[3] R.A Ibrahim. Recent advances in nonlinear passive vibration isolators [J]. Journal of Sound And Vibration, 2008, 314: 371-452.
[4] Alabuzhev P, Gritchin A. Vibration protection and measuring systems with quasi-zero stiffness [M]. New York: Hemisphere Publishing Corporation, 1989.
[5] Kovacic I, Brennam M J, et al. A Study of a Nonlinear Vibration Isolator with a Quasi-Zero-Stiffness Characteristic [J]. Journal of Sound and Vibration, 2008, 315(3): 700-711.
[6] Gianluca Gatti, Ivanna Kovacic, Michael J Brennan. On the response of a harmonically excited two degree-of-freedom system consisting of a linear and a nonlinear quasi-zero stiffness oscillator [J]. Journal of Sound and Vibration, 2010, 329: 1823-1835.
[7] 杨庆超, 楼京俊, 刘树勇, 等. 准零刚度隔振系统倍周期分岔研究[J]. 武汉理工大学学报(交通科学与工程版), 2013, 37(5): 1022-1025.
YANG Qing-chao, LOU Jing-jun, LIU Shu-yong, et al. Study on period-doubling bifurcation of quasi-zero stiffness vibration isolation system [J]. Journal of Wuhan University of Technology (Transportation Science & Engineering), 2013, 37(5): 1022-1025.
[8] 徐道临, 余奇平, 周加喜, 等. 准零刚度隔振系统跳跃频率区间隔振研究[J]. 中国机械工程, 2014, 25(2): 230-235.
XU Dao-lin, YU Qi-ping, ZHOU Jia-xi, et al. Study on vibration attenuation in jumping frequency interval of quasi-zero stiffness vibration isolator [J]. China Mechanical Engineering, 2014, 25(2): 230-235.
[9] A.D Shaw, S. A. Neild. Relieving the effect of static load errors in nonlinear vibration isolation mounts through stiffness asymmetries [J]. Journal of Sound and Vibration, 2015, 339: 84-98.
[10] Yong Wang, Shunming Li, Simon A. Comparison of the dynamic performance of nonlinear one and two degree-of-freedom vibration isolators with quasi-zero stiffness [J]. Nonlinear dynamics, 2017, 88: 635-654.
[11] 柴凯, 陈燕平, 刘树勇, 等. 准零刚度隔振器的研究进展综述[C]. 全国声学设计与噪声振动控制工程学术会议论文集, 2017.
CHAI Kai, CHEN Yan-ping, LIU Shu-yong, et al. Research progress on quasi-zero stiffness vibration isolator [C].
[12] CC Lan, SA Yang, YS Wu. Design and experiment of a compact quasi zero stiffness isolator capable of a wide range of loads [J]. Journal of Sound & Vibration, 2014, 333(20): 4843-4858.
[13] 彭献, 张施详. 一种准零刚度被动隔振系统的非线性共振响应分析[J]. 湖南大学学报, 2011, 38(8): 34-39.
PENG Xian, ZHANG Shi-xiang. Nonlinear resonance response analysis of a king of passive isolation system with quasi-zero stiffness [J]. Journal of Hunan University (Natural Sciences), 2011, 38(8): 34-39.
[14] 王云峰, 李博, 王利桐. 两端固支屈曲梁准零刚度隔振器的微振动隔振性能分析[J]. 振动与冲击, 2018, 37(5): 124-129.
WANG Yun-feng, LI Bo, WANG Li-tong. Micro-vibration isolation performance of a clamped-clamped buckled beam quasi-zero stiffness isolator [J]. Journal of Vibration and Shock, 2018, 37(5): 124-129.
[15] 王毅, 徐道临, 周加喜. 滚球型准零刚度隔振器的特性分析[J]. 振动与冲击, 2015, 34(4): 142-147.
WANG Yi, XU Dao-lin, ZHOU Jia-xi. Characteristic analysis of a ball-type vibration isolator with quasi-zero stiffness [J]. Journal of Vibration and Shock, 2015, 34(4): 142-147.
[16] Y Zheng, X Zhang, Y Luo, et al. Design and experiment of a high-static-low-dynamic stiffness isolator using a negative stiffness magnetic spring [J]. Journal of Sound & Vibration, 2016, 360: 31-52.
[17] Hyer, M.W. Some observations on the cured shape of thin unsymmetric laminates [J]. Journal of Composite Materials, 1981, 15(2), 175-194.
[18] 陆泽琦. 非线性隔振系统动力学特性研究[D]. 哈尔滨: 哈尔滨工程大学, 2014.
LU Ze-qi. Investigation on dynamic behavior of nonlinear vibration isolation system [D]. Herbin: Herbin Engineering University, 2014.
[19] Shaw A. D, Neild S. A, Wagg D. J, et al. A nonlinear spring mechanism incorporating a bistable composite plate for vibration isolation [J]. Journal of Sound and Vibration, 2013, 332(24): 6265–6275.
[20] 李昊, 赵发刚, 周徐斌. 基于混杂双稳定层合板的准零刚度隔振装置[J]. 力学学报, 2019, 51(2): 354-363.
LI Hao, ZHAO Fa-gang, ZHOU Xu-bin. A quasi-zero stiffness vibration isolator based on hybrid bistable composite laminate [J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(2): 354-363.
[21] 李昊. 双稳定复合材料层板的构型分析及其动力学特性研究[D]. 哈尔滨: 哈尔滨工业大学, 2015.
LI Hao. Configuration analysis and dynamics research of bistable composite laminates [D]. Herbin: Herbin Institute of Technology, 2015.
[22] Carrella A, Brennan M J, Waters T P. Static analysis of a passive vibration isolator with quasi-zero-stiffness characteristic [J]. Journal of sound and vibration, 2007, 301(3-5): 678-689.