DeepAI AI Chat
Log In Sign Up

Wave analysis in one dimensional structures with a wavelet finite element model and precise integration method

by   Shuaifang Zhang, et al.

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.


page 13

page 15

page 16

page 17


Crack detection in beam structures with a novel Laplace based Wavelet Finite Element method

Beam structure is one of the most widely used structures in mechanical e...

A second order finite element method with mass lumping for wave equations in H(div)

We consider the efficient numerical approximation of acoustic wave propa...

Semi-implicit Integration and Data-Driven Model Order Reduction in Structural Dynamics with Hysteresis

Structural damping is known to be approximately rate-independent in many...

Quasi-3-D Spectral Wavelet Method for a Thermal Quench Simulation

The finite element method is widely used in simulations of various field...

Dispersion and spurious reflections of viscoelastic wave

This article investigates the velocity dispersion and the spurious refle...

Back-propagation of accuracy

In this paper we solve the problem: how to determine maximal allowable e...