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论文类型：期刊论文

发表时间：2017-07-21

发表刊物：JOURNAL OF SOUND AND VIBRATION

收录刊物：SCIE、EI

卷号：400

页面范围：369-386

ISSN号：0022-460X

关键字：B-spine wavelet on the interval; Wavelet finite element; Spectral analysis; Wave modeling

摘要：This paper presents a hybrid method that combines the B-spline wavelet on the interval (BSWI) finite element method and spectral analysis based on fast Fourier transform (FFT) to study wave propagation in One-Dimensional (1D) structures. BSWI scaling functions are utilized to approximate the theoretical wave solution in the spatial domain and construct a high-accuracy dynamic stiffness matrix. Dynamic reduction on element level is applied to eliminate the interior degrees of freedom of BSWI elements and substantially reduce the size of the system matrix. The dynamic equations of the system are then transformed and solved in the frequency domain through FFT-based spectral analysis which is especially suitable for parallel computation. A comparative analysis of four different finite element methods is conducted to demonstrate the validity and efficiency of the proposed method when utilized in high-frequency wave problems. Other numerical examples are utilized to simulate the influence of crack and delamination on wave propagation in 1D rods and beams. Finally, the errors caused by FFT and their corresponding solutions are presented. (C) 2017 Elsevier Ltd. All rights reserved.