Wavelet Finite Element Method Analysis of Bending Plate Based on Hermite Interpolation

Abstract:

In this paper, a new kind of finite element method (FEM) is proposed, which use the two-dimensional Hermite interpolation scaling function constructed by tensor product as the basis interpolation function of field function, and then combine with the energy functional with related mechanics and variational principle, the wavelet finite element equations for solving elastic thin plate unit that constructed in this paper are derived. Then the bending problem of thin plate is solved very quickly and availably through the matlab program. The numerical example in this paper indicates the correctness and validity of this method, and has high calculation precision and convergence speed. Moreover, it also provides a reliable method to solve the free vibration problem of thin plate and the pipe crack problems.

• Periodical: Applied Mechanics and Materials (Volume 389)
• Pages: 267-272
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.389.267
• Online since: August 2013
• Authors: Peng Shen, Yu Min He, Zhi Shan Duan, Zhong Bin Wei, Pan Gao
• Keywords: Hermite Interpolation, Tensor Product, Thin Plate Bending, Wavelet Finite Element Method

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