Fast Fourier transform method for generalized eigenvalue problems

被引：0

作者：

Wu, Feng ^{[1
]}

Xu, Xiao-Ming ^{[1
]}

Zhong, Wan-Xie ^{[1
]}

机构：

[1] State Key Laboratory of Structural Analysis of Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian

来源：

Zhendong yu Chongji/Journal of Vibration and Shock | 2014年 / 33卷 / 22期

关键词：

Dynamical structural response; Eigenvalue; Fast Fourier transform; Sampling;

D O I：

10.13465/j.cnki.jvs.2014.22.012

中图分类号：

学科分类号：

摘要：

For generalized eigenvalue problems, a method based on the fast Fourier transform (FFT) was developed. In the proposed method, the dynamical structural response was viewed as a signal containing all information about the vibrational frequencies. Using FFT to the signal, the vibrational frequencies can be obtained. The method is a kind of direct solution method which can compute all eigenvalues without the matrix inversion. A numerical example manifests the correctness of the proposed method. ©, 2014, Chinese Vibration Engineering Society. All right reserved.

引用

页码：67 / 71and77

页数：7110

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