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Acta Mechanica Solida Sinica

, Volume 24, Issue 5, pp 450–460 | Cite as

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

  • Xingwu Zhang
  • Xuefeng Chen
  • Zhengjia He
  • Zhibo Yang
Article

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.

Key words

multivariable B-spline wavelet on the interval hyperboloidal shell open cylindrical shell 

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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2011

Authors and Affiliations

  • Xingwu Zhang
    • 1
  • Xuefeng Chen
    • 1
  • Zhengjia He
    • 1
  • Zhibo Yang
    • 1
  1. 1.State Key Laboratory for Manufacturing System Engineering, School of Mechanical EngineeringXi’an Jiaotong UniversityXi’anChina

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