Finite element analysis of beam structures based on trigonometric wavelet

Authors:
Wen-Yu He;Wei-Xin Ren
Affiliations:
Department of Civil Engineering, Central South University, Changsha, Hunan Province 410075, China;Department of Civil Engineering, Central South University, Changsha, Hunan Province 410075, China and Department of Civil Engineering, Hefei University of Technology, Hefei, Anhui Province 230009, ...
Venue:
Finite Elements in Analysis and Design
Year:
2012

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Abstract

Taking advantages of trigonometric Hermite wavelet that has both good approximation characteristics of trigonometric function and multi-resolution, local characteristics of wavelet as interpolating function, the trigonometric wavelet finite beam element is formulated in the paper to carry out the bending, free vibration and buckling of beam structures. Due to the Hermite interpolation properties of trigonometric wavelet, the proposed trigonometric wavelet finite beam element formulation can deal with the boundary conditions and connection between adjacent elements as the traditional finite element method does. Several numerical examples on the bending, free vibration and buckling analysis of beam structures have demonstrated that the trigonometric wavelet finite element method can achieve a good accuracy with less element adopted, especially for free vibration analysis.