平稳随机振动响应的实数域虚拟激励法

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振动与冲击 ›› 2011, Vol. 30 ›› Issue (12) : 85-87,1.

论文

平稳随机振动响应的实数域虚拟激励法

郑浩哲

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Real domain pseudo excitation method for stationary random vibration responses

Zheng Hao-zhe

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摘要

针对时不变平稳系统，建议了计算线性随机振动响应功率谱密度的一种实数域虚拟激励算法。基本原理是根据哈特莱变换与傅里叶变换变换关系构造系统的实数型虚拟激励和实数型系统函数，计算结构的实数型虚拟振动响应，由实数型虚拟激励和虚拟响应计算结果确定系统随机振动响应的功率谱密度。研究结果表明，建议的方法可以方便地处理随机激励间的相关性和相干性，与传统的复数型虚拟激励法相比较，只需确定实数型虚拟激励和在频域计算实数型虚拟响应，就能精确算出结构随机振动响应的功率谱密度，计算形式比较简单和可行。

Abstract

A real domain pseudo-excitation method (PEM) is proposed for computing the power spectral density (PSD) of the linear time variant systems subjected to stationary stochastic external excitations. This method consists of that in accordance with relationship between the Hartley transform and Fourier transform to construct the real pseudo exceptions and to determine the real transfer function, to compute the real pseudo response of structure, and to calculate the PSD of random vibration responses. The results show that the statistical relevancies and coherences among the excitations can be easily evaluated; compared with the traditional complex field PEM, using real pseudo excitations and real pseudo responses to evaluate the PSD of structural random vibrations responses, this method is simpler and practicable.

导出引用

郑浩哲. 平稳随机振动响应的实数域虚拟激励法[J]. 振动与冲击, 2011, 30(12): 85-87,1

Zheng Hao-zhe. Real domain pseudo excitation method for stationary random vibration responses[J]. Journal of Vibration and Shock, 2011, 30(12): 85-87,1