Simulation of random envelope processes.

Simulation of random envelope processes.
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DOI:
10.1016/0022-460x(72)90207-6
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发表时间:
1972-03
影响因子:
4.7
通讯作者:
J.-N. Yang
J.-N. Yang
中科院分区:
工程技术2区
文献类型:
--
作者:
J.-N. Yang

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本文提出了一种模拟平稳和非平稳随机包络过程的有效而实用的方法。平稳包络过程用快速傅里叶变换模拟,非平稳包络过程用一系列余弦函数和一系列正弦函数之和的平方根模拟。包络模拟的典型应用是峰谷模拟,峰谷模拟在首次偏移概率、疲劳和裂纹扩展分析中起着重要作用。特别是,随机载荷下的裂纹扩展的应用程序进行了详细说明。
Efficient and practical methods of simulating stationary and nonstationary random envelope processes are presented. The stationary envelope processes are simulated by using the fast Fourier transform while the nonstationary envelope processes are simulated as the square root of the sum of a series of cosine functions and a series of sine functions with random phase angles. Typical applications of the envelope simulation are the simulations of peaks and troughs which play an important role in the analyses of the first excursion probability, fatigue and crack propagation. In particular, applications to the crack propagation under random loadings are demonstrated in detail.