Multivariable wavelet finite element for flexible skew thin plate analysis

Abstract

Flexible skew thin plate is widely used in mechanical engineering, architectural engineering and structural engineering. High-precision analysis is very important for structural design and improvement. In this paper, the multivariable wavelet finite element (MWFE) based on B-spline wavelet on the interval (BSWI) is constructed for flexible skew thin plate analysis. First, the finite element formulation is derived from multivariable generalized potential energy function. Then the generalized field variables are interpolated and calculated by BSWI. Different from the traditional wavelet finite element, the analysis precision can be improved because the generalized displacement and stress field variables are interpolated and calculated independently, the secondary calculation and the computational error are avoided. In order to verify the effectiveness of the constructed MWFE, several numerical examples are given in the end.