Acta Mechanica Solida Sinica

, Volume 24, Issue 4, pp 355–364 | Cite as

Construction of Wavelet-Based Elements for Static and Stability Analysis of Elastic Problems

Article

Abstract

Two kinds of wavelet-based elements have been constructed to analyze the stability of plates and shells and the static displacement of 3D elastic problems. The scaling functions of B-spline wavelet on the interval (BSWI) are employed as interpolating functions to construct plate and shell elements for stability analysis and 3D elastic elements for static mechanics analysis. The main advantages of BSWI scaling functions are the accuracy of B-spline functions approximation and various wavelet-based elements for structural analysis. The performances of the present elements are demonstrated by typical numerical examples.

Key words

wavelet-based element B-spline wavelet plate and shell stability 3D elastic problem 

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Copyright information

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

Authors and Affiliations

  1. 1.School of Mechatronic EngineeringGuilin University of Electronic TechnologyGuilinChina
  2. 2.Aeronautical Key Lab of Smart Material and StructureNanjing University of Aeronautics and AstronauticsNanjingChina
  3. 3.State Key Laboratory of Structural Analysis for Industrial EquipmentDalian University of TechnologyDalianChina

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