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A spline wavelet finite element formulation of thin plate bending

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Abstract

The wavelet scaling functions of spline wavelets are used to construct the displacement interpolation functions of triangular and rectangular thin plate elements. The displacement shape functions are then expressed by spline wavelet functions. A spline wavelet finite element formulation of thin plate bending is developed by using the virtual work principle. Two numerical examples have shown that the bending deflections and moments of thin plates agree well with those obtained by the differential equations and conventional elements. It is demonstrated that the current spline wavelet finite element method (FEM) can achieve a high numerical accuracy and converges fast. The proposed spline wavelet finite element formulation has a wide range of applicability since it is developed in the same way like conventional displacement-based FEM.

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Acknowledgments

Support from the national Natural Science Foundation of China (NSFC), grant number 50668001, is greatly acknowledged. The second author also thanks the financial support from the Program for New Century Excellent Talents (NCET) in University, Ministry of Education, People’s Republic of China.

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Authors and Affiliations

  1. Department of Civil Engineering, Hainan University, 570228, Haikou, People’s Republic of China

    Jian-Gang Han

  2. Department of Civil Engineering, Central South University, 410075, Changsha, People’s Republic of China

    Wei-Xin Ren

  3. School of Science, Xi’an University of Architecture and Technology, 710055, Xi’an, People’s Republic of China

    Yih Huang

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  1. Jian-Gang Han
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  2. Wei-Xin Ren
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  3. Yih Huang
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Correspondence to Wei-Xin Ren.

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Han, JG., Ren, WX. & Huang, Y. A spline wavelet finite element formulation of thin plate bending. Engineering with Computers 25, 319–326 (2009). https://doi.org/10.1007/s00366-009-0124-7

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  • DOI: https://doi.org/10.1007/s00366-009-0124-7

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