Stochastic Averaging Methods in Random Vibration

Stochastic Averaging Methods in Random Vibration
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DOI:
10.1115/1.3151891
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发表时间:
1988-05
影响因子:
14.3
通讯作者:
W. Zhu
W. Zhu
中科院分区:
工程技术1区
文献类型:
--
作者:
W. Zhu

文献摘要

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本文综述了随机振动中的随机平均法。在简要介绍了随机平均方法的基本思想、优点和发展历史之后,提出了三种随机平均方法,并阐述了它们的适用性和最新进展。第二部分综述了随机激励下非线性参数系统的响应预测、稳定性判定和可靠性估计等方面的应用。指出了该方法进一步发展和应用的可能性。
A survey of stochastic averaging methods in random vibration is given. After a brief introduction to the basic ideas, the advantages and the history of the methods, three kinds of stochastic averaging methods are formulated, and their applicability and recent developments are stated. In the second part, the applications of the methods in response prediction, stability decision, and reliability estimation of randomly excited nonlinear and parametric systems are reviewed. The possibility of further developments and applications of the methods is also pointed out.