几种非线性隔离系统受随机激励时的响应分析
The Response Analysis of Several Nonlinear Isolation Systems Subjected to Random Excitation
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摘要: 非线性隔离系统在现代隔振技术中是常用的.本文用Fokkef-Planck方程、统计线性化等方法研究了在随机激励下,硬非线性刚度类减振器的最佳阻尼选择;非反对称非线性刚度的单自由度隔离系统的响应特征;两自由度非线性隔离系统的响应分析.并通过计算实例,讨论了非线性隔离系统的一些参数选择.Abstract: The nonlinear isolation system is popular in modern isolation mounting. By using Fokker-Planck equation and the statistical linearization met hod and under the condition of random excitation are discussed in this article the best damping selection of the dashpots of the stiffening nonlinear stiffness, the response characteristics of the single-degree-of-freedom isolation system ofnon-antisymmetrical and nonlinear stiffness, and the response analysis of two-degree-of-freedom nonlinear isolation systems. The selection of some parameters of the nonlinear isolation system is also dealt with by virtue of calculation examples.
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[1] Светлипкий В.А.,Случайные Колебанця Механцческцх Сцсмем,Мосва 《МАШИНОСТРОЕНИЕ》(1975) [2] Iwan,W.D,Ageneralization of the method of equivalent linearization,International Journal of Nonlinear Mechanics,8(1973),279-287 [3] Bover,D.C.C,Moment equation methods for nonlinear stochastic systems.J.Math.Anal.Appl,65(1978),306-320. [4] 庄表中、陈乃立、秦瑞芬,非线性减振器的鉴别及其受白噪声激励时的响应分析,振动与冲击,2(1984). -
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