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    李冬生

    • 教授     博士生导师   硕士生导师
    • 主要任职:建设工程学院副院长
    • 其他任职:建设工程学部副部长、智能结构系统研究所所长
    • 性别:男
    • 毕业院校:哈尔滨工业大学
    • 学位:博士
    • 所在单位:建设工程学院
    • 学科:结构工程. 桥梁与隧道工程
    • 办公地点:土木工程学院综合4号楼311研究室
    • 联系方式:lidongsheng@dlut.edu.cn
    • 电子邮箱:lidongsheng@dlut.edu.cn

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    Analysis of wave motion in one-dimensional structures through fast-Fourier-transform-based wavelet finite element method

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    论文类型:期刊论文

    第一作者:Shen, Wei

    通讯作者:Li, DS (reprint author), Dalian Univ Technol, Fac Infrastruct Engn, Dalian 116024, Peoples R China.

    合写作者:Li, Dongsheng,Zhang, Shuaifang,Ou, Jinping

    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.