一类准零刚度隔振器的分段非线性动力学特性研究

王心龙; 周加喜; 徐道临

doi:10.3879/j.issn.1000-0887.2014.01.006

一类准零刚度隔振器的分段非线性动力学特性研究

doi: 10.3879/j.issn.1000-0887.2014.01.006

湖南大学机械与运载工程学院, 长沙 410082

基金项目: 国家自然科学基金（11102062；11272116）；高等学校博士学科点专项科研基金（20110161120040）

详细信息

作者简介:
王心龙（1988—），男，湖北公安人，硕士生(E-mail: wuqingjianshen@163.com)

中图分类号: O322
计量
- 文章访问数: 1901
- HTML全文浏览量: 273
- PDF下载量: 1119
- 被引次数: 0
出版历程
- 收稿日期: 2013-10-15
- 修回日期: 2014-01-09
- 刊出日期: 2014-01-15

On Piecewise Nonlinear Dynamic Characteristics of a New-Type Quasi-Zero-Stiffness Vibration Isolator With Cam-Roller-Spring Mechanism

College of Mechanical and Vehicle Engineering, Hunan University, Changsha 410082, P.R.China

Funds: The National Natural Science Foundation of China（11102062；11272116）

摘要

摘要: 建立了一类带有滚轮装置的准零刚度隔振系统的分段非线性动力学模型，利用平均法对系统在基础激励下的动力学特性进行了理论分析，得到了系统主共振响应的一次近似解析解.利用数值方法对动力学方程求解，验证了平均法求解此类分段非线性动力学问题的有效性.进一步，讨论了激励幅值、阻尼对系统响应的影响，利用位移传递率评估了隔振系统的隔振性能.结果表明，激励幅值和阻尼对系统响应具有显著影响：激励幅值较小时，该准零刚度隔振系统的隔振性能明显优于相应的线性系统；而随激励幅值增大时，其隔振性能变差，但最多与线性系统相当，而不会变得更差，此特征优于传统准零刚度隔振系统.
- 准零刚度 /
- 分段非线性 /
- 平均法 /
- 隔振
Abstract: A piecewise nonlinear dynamic model for a new-type quasi-zero-stiffness (QZS) vibration isolation system with cam-roller-spring mechanism was developed. The dynamic characteristics of the QZS system under harmonic base motion were analyzed theoretically with the averaging method, and the primary resonance responses obtained. The analytical solution was verified by the numerical solution to the equation of motion, which confirmed the efficiency of the averaging method to solve the piecewise nonlinear problem. Further, the effects of exciting displacement amplitude and damping on the system responses were discussed. The displacement transmissibility was used to evaluate the performance of vibration isolation. The results show that the exciting displacement amplitude and damping notably influence the system response. When the exciting amplitude is relatively small, the QZS system outperforms the corresponding linear system obviously. The QZS system’s performance goes down as the exciting amplitude increases, but stands no worse than that of the corresponding linear system. This feature of the new-type QZS vibration isolation system is superior to that of the traditional QZS ones.
- quasi-zero stiffness /
- piecewise nonlinear /
- averaging method /
- vibration isolation

HTML全文

参考文献(10)

[1]	Alabuzhev P, Gritchin A, Kim L, Migirenko G, Chon V, Stepanov P. Vibration Protecting and Measuring System With Quasi-Zero Stiffness[M]. New York: Hemisphere Publishing Co, Taylor & Francis Group, 1989.
[2]	Le T D, Ahn K K. A vibration isolation system in low frequency excitation region using negative stiffness structure for vehicle seat[J].Journal of Sound and Vibration,2011,330(26): 6311-6335.
[3]	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.
[4]	Carrella A, Brennan M J, Kovacic I, Waters T P. On the force transmissibility of a vibration isolator with quasi-zero-stiffness[J]. Journal of Sound and Vibration, 2009,322(4/5): 707-717.
[5]	张建卓, 董申, 李旦. 基于正负刚度并联的新型隔振系统研究[J]. 纳米技术与精密工程, 2004,2(4): 314-318.(ZHANG Jian-zhuo, DONG Shen, LI Dan. Study on new type vibration isolation system based on combined positive and negative stiffness[J]. Nanotechnology and Precision Engineering, 2004,2(4): 314-318.(in Chinese))
[6]	刘兴天, 黄修长, 张志谊, 华宏星. 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, HUA Hong-xing. Influence of excitation amplitude and load on the characteristics of quasi-zero stiffness isolator[J]. Journal of Mechanical Engineering,2013,49(6): 89-94.(in Chinese))
[7]	彭献, 黎大志, 陈树年. 准零刚度隔振器及其弹性特性设计[J]. 振动、测试与诊断, 1997,17(4): 44-46. (PENG Xian, LI Da-zhi, 〖FK(〗CHEN Shu-nian〖FK)〗. Quasi-zero stiffness vibration isolators and design for their elastic characteristics[J]. Journal of Vibration, Measurement & Diagnosis, 1997,17(4): 44-46.(in Chinese))
[8]	徐道临, 赵智, 周加喜. 气动可调式准零刚度隔振器设计及特性分析[J]. 湖南大学学报(自然科学版), 2013,40(6): 47-52.(XU Dao-lin, ZHAO Zhi, ZHOU Jia-xi. Design and analysis of an adjustable pneumatic vibration isolator with quasi-zero-stiffness characteristic[J]. Journal of Hunan University (Natural Sciences), 2013,40(6): 47-52.(in Chinese))
[9]	XU Dao-lin, YU Qi-ping, ZHOU Jia-xi, Bishop S R. Theoretical and experimental analysis of a nonlinear magnetic vibration isolator with quasi-zero-stiffness characteristic[J]. Journal of Sound and Vibration, 2013,332(14): 3377-3389.
[10]	Nayfeh A H, Mook D T. Nonlinear Oscillations [M]. New York: John Wiley & Sons, Inc, 1995.