The Fast Fourier Transform Method for The Generalized Eigenvalue Problem
Wu Feng, Xu Xiaoming, Zhong Wanxie
State Key Laboratory of Structural Analysis of Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian, Liaoning 116024, P.R. China
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.
2014, Vol. 33 
