J4 ›› 2008, Vol. 19 ›› Issue (9): 0-1133.

• 机械科学 •    

被动隔振的非线性动力学研究

陈安华1;高威2;高永毅1   

  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2008-05-10 发布日期:2008-05-10

Research on Nonlinear Dynamics of a Vibration-isolated Body

Chen Anhua1;Gao Wei2;Gao Yongyi1
   

  • Received:1900-01-01 Revised:1900-01-01 Online:2008-05-10 Published:2008-05-10

摘要:

研究了由基础振动激励的被动隔振体的非线性振动特性和振动稳定性。考虑隔振系统的非线性刚度和隔振材料的非线性阻尼,建立了被动隔振体的非线性动力学方程;用谐波平衡法研究了其非线性振动特性,导出了频率响应方程;讨论了非线性因素的影响;分析了隔振体振动的稳定性,得出了稳定区和不稳定区的分界线方程。

关键词: 被动隔振;非线性振动;频率响应特性;稳定性

Abstract:

Seismic response characteristics and vibration stability of the body isolated by the resilient material with nonlinear stiffness and nonlinear damping were investigated herein.The nonlinear dynamics equation including nonlinear stiffness and damping was developed.The frequency response equation was derived and nonlinear dynamic response to a seismic excitation were analyzed by the method of harmonic balance.The effectness of nonlinear factors and vibration stability were studied.The conclusions of the paper are helpful to the accurate design and effect analysis of vibration isolators.

Key words: vibration isolation;nonlinear vibration;frequency response characteristic;stability

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