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The Analysis of Shallow Shells Based on Multivariable Wavelet Finite Element Method

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Abstract

Based on the generalized variational principle and B-spline wavelet on the interval (BSWI), the multivariable BSWI elements with two kinds of variables (TBSWI) for hyperboloidal shell and open cylindrical shell are constructed in this paper. Different from the traditional method, the present one treats the generalized displacement and stress as independent variables. So differentiation and integration are avoided in calculating generalized stress and thus the precision is improved. Furthermore, compared with commonly used Daubechies wavelet, BSWI has explicit expression and excellent approximation property and thus further guarantee satisfactory results. Finally, the efficiency of the constructed multivariable shell elements is validated through several numerical examples.

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Authors and Affiliations

  1. State Key Laboratory for Manufacturing System Engineering, School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an, 710049, China

    Xingwu Zhang, Xuefeng Chen, Zhengjia He & Zhibo Yang

Authors
  1. Xingwu Zhang
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  2. Xuefeng Chen
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  3. Zhengjia He
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  4. Zhibo Yang
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Corresponding author

Correspondence to Xuefeng Chen.

Additional information

Project supported by the National Natural Science Foundation of China (No. 50875195), the Foundation for the Author of National Excellent Doctoral Dissertation of China (No. 2007B33) and the Key Project of the National Natural Science Foundation of China (No. 51035007).

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Zhang, X., Chen, X., He, Z. et al. The Analysis of Shallow Shells Based on Multivariable Wavelet Finite Element Method. Acta Mech. Solida Sin. 24, 450–460 (2011). https://doi.org/10.1016/S0894-9166(11)60044-X

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  • DOI: https://doi.org/10.1016/S0894-9166(11)60044-X

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