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Applied Mathematics and Mechanics (English Edition) ›› 1986, Vol. 7 ›› Issue (2): 117-123.

• 论文 • 上一篇    下一篇

THE RESPONSE ANALYSIS OF SEVERAL NONLINEAR ISOLATION SYSTEMS SUBJECTEDTO RANDOM EXCITATION

庄表中1, 陈乃立1, 傅博2, 高瞻3   

  1. 1. Department of Mechanics, Zhejiang University, Hangzhou;
    2. Institute 623, Beijing;
    3. Department of Mechanics, Zhejiang University, Hangzhou
  • 收稿日期:1984-03-24 出版日期:1986-02-18 发布日期:1986-02-18

THE RESPONSE ANALYSIS OF SEVERAL NONLINEAR ISOLATION SYSTEMS SUBJECTEDTO RANDOM EXCITATION

Zhuang Biao-zhong1, Chen Nai-li1, Fu Bo2, Gao Zhan3   

  1. 1. Department of Mechanics, Zhejiang University, Hangzhou;
    2. Institute 623, Beijing;
    3. Department of Mechanics, Zhejiang University, Hangzhou
  • Received:1984-03-24 Online:1986-02-18 Published:1986-02-18

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摘要： 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.

关键词: homothetic motion, Steiner formula, Holditch theorem

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.

Key words: homothetic motion, Steiner formula, Holditch theorem

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