Paper Info
Title
Wave analysis in one dimensional structures with a wavelet finite element model and precise integration method.
Abstract
Numerical simulation of ultrasonic wave propagation provides an efficient tool for crack identification in structures, while it requires a high resolution and expensive time calculation cost in both time integration and spatial discretization. Wavelet finite element model provides a highorder finite element model and gives a higher accuracy on spatial discretization, B-Spline wavelet interval (BSWI) has been proved to be one of the most commonly used wavelet finite element model with the advantage of getting the same accuracy but with fewer element so that the calculation cost is much lower than traditional finite element method and other high-order element methods. Precise Integration Method provides a higher resolution in time integration and has been proved to be a stable time integration method with a much lower cut-off error for same and even smaller time step. In this paper, a wavelet finite element model combined with precise integration method is presented for the numerical simulation of ultrasonic wave propagation and crack identification in 1D structures. Firstly, the wavelet finite element based on BSWI is constructed for rod and beam structures. Then Precise Integrated Method is introduced with application for the wave propagation in 1D structures. Finally, numerical examples of ultrasonic wave propagation in rod and beam structures are conducted for verification. Moreover, crack identification in both rod and beam structures are studied based on the new model.
Year
Venue
Field
2017
arXiv: Computational Engineering, Finance, and Science
Discretization,Mathematical optimization,Computer simulation,Mathematical analysis,Ultrasonic wave propagation,Finite element method,Beam (structure),Mathematics,Wavelet
DocType
Volume
Citations 
Journal
abs/1712.01454
0
PageRank 
References 
Authors
0.34
4
6
Name
Order
Citations
PageRank
Shuaifang Zhang100.68
Dongdong He232.44
Dongsheng Li354.81
Zhifeng Zhang404.73
Yu Liu512641.98
Wei Shen6138.16