Open Access

ARTICLE

A Class of Wavelet-based Flat Shell Elements Using B-spline Wavelet on the Interval and Its applications

Xiang Jiawei¹, Chen Xuefeng², Yang Lianfa³, He Zhengjia⁴

1 School of Mechantronic Engineering, Guilin University of Electronic Technology, Guilin, P.R.C.
2 School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an, P.R.C.
3 School of Mechantronic Engineering, Guilin University of Electronic Technology, Guilin, P.R.C.
4 School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an, P.R.C.

Computer Modeling in Engineering & Sciences 2008, 23(1), 1-12. https://doi.org/10.3970/cmes.2008.023.001

Abstract

A class of flat shell elements is constructed by using the scaling functions of two-dimensional tensor product B-spline wavelet on the interval (BSWI). Unlike the process of direct wavelets adding in the wavelet Galerkin method, the element displacement field represented by the coefficients of wavelets expansions was transformed from wavelet space into physical space via the constructed two-dimensional transformation matrix. Then, the BSWI flat shell element is constructed by the assembly of BSWI plane elastomechanics and Mindlin plate elements. Because of the good character of BSWI scaling functions, the BSWI flat shell element combine the accuracy of B-spline functions approximation and various wavelet-based elements for structural analysis. Some static and dynamic numerical examples are studied to demonstrate the present element with higher efficiency and precision than the traditional element.

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Keywords

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