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In Chap. 4 , the mathematical principle and physical interpretation of the stochastic averagingStochastic averaging methods along with the derivation and solution of the averaged FPK equation for single degree-of-freedom (SDOF) nonlinear systems under various random excitations are elucidated.

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Stochastic Averaging Methods of Quasi-Hamiltonian Systems Under Gaussian White Noise Excitations

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  • 发表日期：

    2025年

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  • Wei-Qiu Zhu,
  • Mao-Lin Deng,
  • Guo-Qiang Cai

摘要

In Chap. 4 , the mathematical principle and physical interpretation of the stochastic averagingStochastic averaging methods along with the derivation and solution of the averaged FPK equation for single degree-of-freedom (SDOF) nonlinear systems under various random excitations are elucidated.