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Applications of wavelet galerkin fem to bending of beam and plate structures

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Abstract

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

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Authors and Affiliations

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

    Zhou Youhe, Wang Jizeng & Zheng Xiaojing

Authors
  1. Zhou Youhe
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  2. Wang Jizeng
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  3. Zheng Xiaojing
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Additional information

Communicated by Yeh Kaiyuan

Project supported by the National Natural Science Foundation of China and Science Foundation of the National Education Committee of China for the Scholars Returned from Abroad and for the Exellent Young Teachers in Universities

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Youhe, Z., Jizeng, W. & Xiaojing, Z. Applications of wavelet galerkin fem to bending of beam and plate structures. Appl Math Mech 19, 745–755 (1998). https://doi.org/10.1007/BF02457749

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  • DOI: https://doi.org/10.1007/BF02457749

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