Zhuang Biao-zhong, Chen Nai-li, Fu Bo, Gao Zhan. The Response Analysis of Several Nonlinear Isolation Systems Subjected to Random Excitation[J]. Applied Mathematics and Mechanics, 1986, 7(2): 109-1114.
 Citation: Zhuang Biao-zhong, Chen Nai-li, Fu Bo, Gao Zhan. The Response Analysis of Several Nonlinear Isolation Systems Subjected to Random Excitation[J]. Applied Mathematics and Mechanics, 1986, 7(2): 109-1114.

# The Response Analysis of Several Nonlinear Isolation Systems Subjected to Random Excitation

• Received Date: 1984-03-24
• Publish Date: 1986-02-15
• 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.
•  [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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沈阳化工大学材料科学与工程学院 沈阳 110142

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