Abstract:A new torsion Quasi-Zero-Stiffness vibration isolator is proposed. It can adjust the positive stiffness to adapt to the load change, and adjust the negative stiffness synchronously to make the isolator always work in the quasi-zero-stiffness state. The vibration isolator is composed of a torsion magnetic spring (TMS) and leaf springs. The TMS is composed of inner and outer ring magnets magnetized radially. Adjusting the relative axial positions of the inner and outer rings can change the negative stiffness. The torque calculation model of the TMS is obtained using the equivalent magnetic charge method. The influences of spring parameters on the stiffness characteristics were analyzed. The dynamic model of the system was established and the dynamic response of the isolator was solved using harmonic balance method. The influence of excitation amplitude and damping ratio on the isolation performance of the isolator was analyzed. The results show that the isolator has good isolation effect under different loads. Vibration isolator prototype was manufactured, the experiment of torque and angular displacement curve is in good agreement with theoretical calculation results. The experimental results show that the isolator can realize the synchronous adjustment of positive and negative stiffness by adjusting the relative axial position of TMS and the effective length of spring.
Key words: torsion vibration isolation; quasi-zero-stiffness; variable load; nonlinear analysis
[1] XU J W, YANG X F, LI W, et al. Design of quasi-zero stiffness joint actuator and research on vibration isolation performance[J]. Journal of Sound and Vibration, 2020, 479:115367.
[2] 王晓杰, 刘辉, 郦文平, 等. 准零刚度扭转隔振器振动传递特性研究[J]. 机械工程学报, 2018,54(21):49-56.
WANG Xiao-jie, LIU Hui, LI Wen-ping, et al. Vibration transmission characteristics of a quasi-zero stiffness torsional isolator[J]. Journal of Mechanical Engineering, 2018,54(21):49-56.
[3] ZHANG Q L, XIA S Y, XU D L, et al. A torsion–translational vibration isolator with quasi-zero stiffness[J]. Nonlinear Dynamics, 2020, 99(2):1467-1488.
[4] 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, 301:678-689.
[5] CARRELLA A, BRENNAN M J, WATERS T P, et al. Force and displacement transmissibility of a nonlinear isolator with high-static-low-dynamic-stiffness[J]. International Journal of Mechanical Sciences, 2012, 55(1):22-29.
[6] SHAN Y, WU W, CHEN X. Design of a miniaturized pneumatic vibration isolator with high-static-low-dynamic stiffness[J]. Journal of Vibration and Acoustics, 2015,137(4).
[7] 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(15):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(15): 124-129.
[8] ZHOU J X, XU D L, BISHOP S. A torsion quasi-zero stiffness vibration isolator[J]. Journal of Sound and Vibration, 2015, 338:121-133.
[9] ZHENG Y S, ZHANG X N, LUO Y, et al. Analytical study of a quasi-zero stiffness coupling using a torsion magnetic spring with negative stiffness[J]. Mechanical Systems and Signal Processing, 2018, 100:135-151.
[10] 刘兴天, 黄修长, 张志谊,等. 激励幅值及载荷对准零刚度隔振器特性的影响[J]. 机械工程学报, 2013,49(6): 89-94.
LIU Xing-tian, HUANG Xiu-chang, ZHANG Zhi-yi, et al. Influence of excitation amplitude and load on the characteristics of quasi-zero stiffness isolator[J]. Journal of Mechanical Engineering, 2013, 49(6): 89-94.
[11] HUANG X C, LIU X T, HUA H X. Effects of stiffness and load imperfection on the isolation performance of a high-static-low-dynamic-stiffness non-linear isolator under base displacement excitation[J]. International Journal of Non-Linear Mechanics, 2014, 65:32-43.
[12] 程春, 李舜酩, 王勇,等. 考虑载荷变化的准零刚度隔振器动态特性[J]. 振动、测试与诊断, 2017, 37(4): 743-749.
CHENG Chun, LI Shun-ming, WANG Yong, et al. Dynamic analysis of quasi-zero-stiffness vibration isolator considering load variation[J]. Journal of Vibration, Measurement and Diagnosis,2017, 37(4): 743-749.
[13] LAN C C, YANG S A, WU Y S. Design and experiment of a compact quasi-zero-stiffness isolator capable of a wide range of loads[J]. Journal of Sound and Vibration, 2014, 333(20):4843-4858.
[14] LE T D, NGUYEN V A D. Low frequency vibration isolator with adjustable configurative parameter[J]. International Journal of Mechanical Sciences, 2017, 134:224-233.
[15] YE K, JI J C, BROWN T. Design of a quasi-zero stiffness isolation system for supporting different loads[J]. Journal of Sound and Vibration, 2020, 471: 115198.
[16] RAVAUD R, LEMARQUAND G, LEMARQUAND V, et al. Permanent magnet couplings: field and torque three-dimensional expressions based on the coulombian model[J]. IEEE Transactions on Magnetics, 2009, 45(4):1950-1958.