On the analysis of a high-static-low-dynamic stiffness vibration isolator with time-delayed cubic displacement feedback

被引:56
作者
Cheng, Chun [1 ]
Li, Shunming [1 ]
Wang, Yong [1 ]
Jiang, Xingxing [1 ]
机构
[1] Nanjing Univ Aeronaut & Astronaut, Coll Energy & Power Engn, Nanjing 210016, Jiangsu, Peoples R China
关键词
Vibration isolator; HSLDS; Piecewise nonlinear; Cubic displacement feedback; Multiple scales method; Isolation performance; DESIGN; SYSTEM; RESONANCES;
D O I
10.1016/j.jsv.2016.05.029
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
The cubic displacement feedback with time delay is proposed in this paper to improve the isolation performance of the high-static-low-dynamic stiffness (HSLDS) vibration isolator. First of all, the frequency response of the controlled HSLDS vibration isolator is obtained by using the multiple scales method and further verified by numerical simulation. Multi valued responses, jump phenomenon and frequency island could coexist and their stabilities are analysed. Then, the effects of feedback gain and time delay on the frequency response are studied. The jump avoidance condition is obtained with the purpose of eliminating the adverse effects of excitation frequency fluctuation. Finally, the force transmissibility is defined to evaluate the isolation performance of the controlled HSLDS vibration isolator. The results show that with feedback parameters properly designed, such feedback control can play the role of damping force and the controlled HSLDS vibration isolator outperforms the passive counterpart. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码:76 / 91
页数:16
相关论文
共 24 条
[1]   No-jerk skyhook control methods for semiactive suspensions [J].
Ahmadian, M ;
Song, XB ;
Southward, SC .
JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME, 2004, 126 (04) :580-584
[2]   Static analysis of a passive vibration isolator with quasi-zero-stiffness characteristic [J].
Carrella, A. ;
Brennan, M. J. ;
Waters, T. P. .
JOURNAL OF SOUND AND VIBRATION, 2007, 301 (3-5) :678-689
[3]   Force and displacement transmissibility of a nonlinear isolator with high-static-low-dynamic-stiffness [J].
Carrella, A. ;
Brennan, M. J. ;
Waters, T. P. ;
Lopes, V., Jr. .
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2012, 55 (01) :22-29
[4]  
Cheng C, 2015, J VIBROENG, V17, P3453
[5]   Feedback stability limits for active isolation systems with reactive and inertial actuators [J].
Elliott, SJ ;
Serrand, M ;
Gardonio, P .
JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME, 2001, 123 (02) :250-261
[6]   Nonlinear analysis, design and vibration isolation for a bilinear system with time-delayed cubic velocity feedback [J].
Gao, X. ;
Chen, Q. .
JOURNAL OF SOUND AND VIBRATION, 2014, 333 (06) :1562-1576
[7]   Resonances of a harmonically forced duffing oscillator with time delay state feedback [J].
Hu, HY ;
Dowell, EH ;
Virgin, LN .
NONLINEAR DYNAMICS, 1998, 15 (04) :311-327
[8]   Principal resonance response of a stochastic elastic impact oscillator under nonlinear delayed state feedback [J].
Huang Dong-Mei ;
Xu Wei ;
Xie Wen-Xian ;
Han Qun .
CHINESE PHYSICS B, 2015, 24 (04)
[9]   Effect of the system imperfections on the dynamic response of a high-static-low-dynamic stiffness vibration isolator [J].
Huang, Xiuchang ;
Liu, Xingtian ;
Sun, Jingya ;
Zhang, Zhiyi ;
Hua, Hongxing .
NONLINEAR DYNAMICS, 2014, 76 (02) :1157-1167
[10]   Recent advances in nonlinear passive vibration isolators [J].
Ibrahim, R. A. .
JOURNAL OF SOUND AND VIBRATION, 2008, 314 (3-5) :371-452