The Fast Fourier Transform Method for The Generalized Eigenvalue Problem

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Journal of Vibration and Shock ›› 2014, Vol. 33 ›› Issue (22) : 67-71.

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The Fast Fourier Transform Method for The Generalized Eigenvalue Problem

Wu Feng, Xu Xiaoming, Zhong Wanxie

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Abstract

For the generalized eigenvalue problem, a method based on the fast Fourier transform (FFT) is developed. In the proposed method, the dynamical structural response is viewed as a signal which contains 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 could compute all eigenvalues without the matrix inversion. The numerical example manifests the correction of the proposed method.

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eigenvalue / dynamical structural response / fast Fourier transform / sampling

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Wu Feng;Xu Xiaoming;Zhong Wanxie. The Fast Fourier Transform Method for The Generalized Eigenvalue Problem[J]. Journal of Vibration and Shock, 2014, 33(22): 67-71