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Indexed by:期刊论文

Date of Publication:2017-07-21

Journal:JOURNAL OF SOUND AND VIBRATION

Included Journals:SCIE、EI

Volume:400

Page Number:369-386

ISSN No.:0022-460X

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

Abstract: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.