Linear multi-degree-of-freedom system stochastic response by using the harmonic wavelet transform

被引：32

作者：

Tratskas, P ^{[1
]}

Spanos, PD ^{[1
]}

机构：

[1] Rice Univ, Houston, TX 77005 USA

来源：

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME | 2003年 / 70卷 / 05期

关键词：

D O I：

10.1115/1.1601252

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The wavelet transform is used to capture localized features in either the time domain or the frequency domain of the response of a multi-degree-of-freedom linear system subject to a nonstationary stochastic excitation. The family of the harmonic wavelets is used due to the convenient spectral characteristics of its basis functions. A wavelet-based system representation is derived by converting the system frequency response matrix into a time-frequency wavelet "tensor." Excitation-response relationships are obtained for the wavelet-based representation which involve linear system theory, spectral representation of the excitation and of the response vectors, and the wavelet transfer tensor of the system. Numericalresults demonstrate the usefulness of the developed analytical procedure.

引用

页码：724 / 731

页数：8