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The response analysis of several, nonlinear isolation systems subjected to random excitation

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Abstract

The nonlinear isolation system is popular in modern isolation mounting. By using Fokker-Planck equation and the statistical linearization method 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-offreedom isolation system of non-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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References

  1. Sventlijeske, B. A.,Random Vibration toi Manamal System Moskva (1975) (in Russian)

  2. Iwan, W. D., Ageneralization of the method of equivalent linearization.Interactional Journal of Nonlinear Mechanics,8 (1973), 279–287

    Google Scholar 

  3. Bover, D. C. C., Moment equation methods for nonlinearstoch the system.Math. Anal. Appl. 65 (1978), 306–320.

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  4. Zhuang Biao-zhong, Chen Nai-li and Qin Zei-fang, Defferentive and conlineality of dashpots and analysis of its responses to white noise excitation,Journal of Vibration and Shock,2 (1984).

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Communicated by Loo Wen-do

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Biao-zhong, Z., Nai-li, C., Bo, F. et al. The response analysis of several, nonlinear isolation systems subjected to random excitation. Appl Math Mech 7, 117–123 (1986). https://doi.org/10.1007/BF01897054

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  • DOI: https://doi.org/10.1007/BF01897054

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