Modeling of wave propagation in one-dimension structures using B-spline wavelet on interval finite element

Authors:
Xuefeng Chen;Zhibo Yang;Xingwu Zhang;Zhengjia He
Affiliations:
The State Key Laboratory for Manufacturing Systems Engineering, School of Mechanical Engineering, Xi'an Jiaotong University, Xi'an 710049, PR China;The State Key Laboratory for Manufacturing Systems Engineering, School of Mechanical Engineering, Xi'an Jiaotong University, Xi'an 710049, PR China;The State Key Laboratory for Manufacturing Systems Engineering, School of Mechanical Engineering, Xi'an Jiaotong University, Xi'an 710049, PR China;The State Key Laboratory for Manufacturing Systems Engineering, School of Mechanical Engineering, Xi'an Jiaotong University, Xi'an 710049, PR China
Venue:
Finite Elements in Analysis and Design
Year:
2012

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Abstract

This paper presents an application of B-spline wavelet on interval (BSWI) finite element for one-dimension elastic wave propagation problems. Using central difference method in time domain, numerical results involving wave propagations in rod and beam are obtained and compared with results calculated by classical finite element method. Numerical examples are used to validate the accuracy and efficiency of BSWI element. Based on the Castigliano theorem, the cracked rod and cracked beam BSWI element are constructed in this paper. Then the wave propagation in cracked one-dimension structures is simulated.