Nonlinear dynamic response and global stability of an air compressor vibration system

作     者：Li, Yuanping Wang, Xuemin Chen, Siyu Lu, Hongbing 

作者机构：Jinan Univ Minist Educ Key Lab Disaster Forecast & Control Engn Guangzhou Guangdong Peoples R China Jinan Univ Coliege Mech & Construct Engn Guangzhou Guangdong Peoples R China Univ Texas Dallas Dept Mech Engn Richardson TX 75083 USA Cent S Univ State Key Lab High Performance Complex Mfg Changsha Hunan Peoples R China 

出 版 物：《JOURNAL OF LOW FREQUENCY NOISE VIBRATION AND ACTIVE CONTROL》 (J. Low Freq. Noise Vib. Act. Control)

年 卷 期：2019年第38卷第3-4期

页      面：1081-1095页

核心收录：

学科分类：07[理学] 082403[工学-水声工程] 08[工学] 070206[理学-声学] 0824[工学-船舶与海洋工程] 0702[理学-物理学] 

基　　金：The author(s) disclosed receipt of the following financial support for the research  authorship  and/or publication of this article: the National Science Foundation (NSF) under Grant No. ECCS-1307997 

主　　题：Compressor parametric pendulum system bifurcation chaos 

摘      要：This study proposes a strategy for the vibration isolation mounting of an air compressor to attenuate the vibration near the primary resonance region by using a system with dynamic negative stiffness. The vibration system is modelled as a parametric pendulum system. The nonlinear dynamic responses, including the global stability of the air compressor vibration system, are investigated analytically. The efficiency of the proposed vibration isolation strategy is numerically demonstrated over the original device. To analyse the bifurcation of the nonlinear response of the pendulum system, the phase portrait, bifurcation diagram and maximum Lyapunov exponent of the pendulum system are obtained numerically. Furthermore, the Floquet multiplier level is obtained by solving the perturbation equation numerically and can be used to determine the global stability of the air compressor vibration system.