Acta Mechanica Solida Sinica

, Volume 19, Issue 4, pp 316–326 | Cite as

The construction of wavelet-based truncated conical shell element using B-spline wavelet on the interval

  • Jiawei Xiang
  • Zhengjia He
  • Xuefeng Chen


Based on B-spline wavelet on the interval (BSWI), two classes of truncated conical shell elements were constructed to solve axisymmetric problems, i.e. BSWI thin truncated conical shell element and BSWI moderately thick truncated conical shell element with independent slope-deformation interpolation. In the construction of wavelet-based element, instead of traditional polynomial interpolation, the scaling functions of BSWI were employed to form the shape functions through the constructed elemental transformation matrix, and then construct BSWI element via the variational principle. Unlike the process of direct wavelets adding in the wavelet Galerkin method, the elemental displacement field represented by the coefficients of wavelets expansion was transformed into edges and internal modes via the constructed transformation matrix. BSWI element combines the accuracy of B-spline function approximation and various wavelet-based elements for structural analysis. Some static and dynamic numerical examples of conical shells were studied to demonstrate the present element with higher efficiency and precision than the traditional element.

Key words

B-spline wavelet on the interval finite element method axisymmetric problem truncated conical shell element 


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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2006

Authors and Affiliations

  1. 1.School of Mechantronic EngineeringGuilin University of Electronic TechnologyGuilinChina
  2. 2.School of Mechanical EngineeringXi’an Jiaotong University, The State Key Laboratory for Manufacturing Systems EngineeringXi’anChina

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