Simulation of non-stationary and non-Gaussian random processes by 3rd-order Spectral Representation Method: Theory and POD implementation
Simulation of non-stationary and non-Gaussian random processes by 3rd-order Spectral Representation Method: Theory and POD implementation
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DOI：
10.1016/j.ymssp.2022.109150
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发表时间：
2021-09
影响因子：
8.4
通讯作者：
Lohit Vandanapu;M. Shields
中科院分区：
文献类型：
--
作者：
Lohit Vandanapu;M. Shields
本文介绍了用于非平稳、非高斯随机过程模拟的三阶谱表示方法。所提出的方法扩展了经典的二阶谱表示方法扩展的随机过程从一个进化的双谱和进化的功率谱，从而完全匹配的过程到三阶。一个适当的正交分解（POD）的方法，进一步提出了一个有效的FFT为基础的实现，大大降低了计算成本。两个例子，包括一个完全非平稳地震动过程的模拟，突出了所提出的方法的准确性和有效性。
This paper introduces the 3rd-order Spectral Representation Method for simulation of non-stationary and non-Gaussian stochastic processes. The proposed method extends the classical 2nd-order Spectral Representation Method to expand the stochastic process from an evolutionary bispectrum and an evolutionary power spectrum, thus matching the process completely up to third-order. A Proper Orthogonal Decomposition (POD) approach is further proposed to enable an efficient FFT-based implementation that reduces computational cost significantly. Two examples are presented, including the simulation of a fully non-stationary seismic ground motion process, highlighting the accuracy and efficacy of the proposed method.