Applications of Wavelet Galerkin FEM to Bending of Beam and Plate Structures

Zhou Youhe; Wang Jizeng; Zheng Xiaojing

Volume 19 Issue 8

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Abstract

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Article Navigation > Applied Mathematics and Mechanics > 1998 > 19(8): 697-706

Zhou Youhe, Wang Jizeng, Zheng Xiaojing. Applications of Wavelet Galerkin FEM to Bending of Beam and Plate Structures[J]. Applied Mathematics and Mechanics, 1998, 19(8): 697-706.

Citation:

Zhou Youhe, Wang Jizeng, Zheng Xiaojing. Applications of Wavelet Galerkin FEM to Bending of Beam and Plate Structures[J]. Applied Mathematics and Mechanics, 1998, 19(8): 697-706.

Citation:

Zhou Youhe, Wang Jizeng, Zheng Xiaojing. Applications of Wavelet Galerkin FEM to Bending of Beam and Plate Structures[J]. Applied Mathematics and Mechanics, 1998, 19(8): 697-706.

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Applications of Wavelet Galerkin FEM to Bending of Beam and Plate Structures

Department of Mechanics, Lanzhou University, Lanzhou 730000, P. R. China

Received Date: 1997-01-03
Rev Recd Date: 1998-03-01
Publish Date: 1998-08-15

Abstract

Abstract

In this paper,an approach is proposed for taking calculations of high order differentials of scalng functions in wavelet theory in order to apply the wavelet Galerkin FEM to numerical analysis of hose boundary-value problems with order higher than 2.After that,it is realized that the wavelet alerkin FEM is used to solve mechanical problems such as bending of beams and plates.The numercal results show that this method has good precision.
- applications of wavelet theory,
- scaling functions,
- operation of high-order derivations,
- Galerkin FEM,
- bending of beams and plates

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References(6)

References

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[4]	K.Amarat unga and J.William,Wavelet-Galerkin solution for one-dimensional partial differential equations,Internat.J.Numer.Methods in Engrg.,37(16)(1994),2703-2716.
[5]	J.Ko,A.J.Kurdila and M.Pilant,A class of wavelet-based finite element methods for computational mechanics,Proc.35th Structures,Structural Dynamics and Materials Conference,Hilton Head, South Carolina,May(1994),665-675.
[6]	周又和、王记增,广义小波高斯积分法及其在微分方程中的应用,《第七届全国现代数学和力学会议文集》,上海大学出版社,上海(1997),464-467.

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