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

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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.

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Authors and Affiliations

  1. School of Mechatronic Engineering, Guilin University of Electronic Technology, Guilin, 541004, China

    Yongteng Zhong & Jiawei Xiang

  2. Aeronautical Key Lab of Smart Material and Structure, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China

    Yongteng Zhong

  3. State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian, 116024, China

    Jiawei Xiang

Authors
  1. Yongteng Zhong
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  2. Jiawei Xiang
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Correspondence to Jiawei Xiang.

Additional information

Project supported by the National Natural Science Foundation of China (No. 50805028), the Key Project of Chinese Ministry of Education (No. 210170), Guangxi key Technologies R & D Program of China (Nos. 1099022-1 and 0900705_003). This work is also supported in part by the Excellent Talents in Guangxi Higher Education Institutions of China, which is very much appreciated.

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Zhong, Y., Xiang, J. Construction of Wavelet-Based Elements for Static and Stability Analysis of Elastic Problems. Acta Mech. Solida Sin. 24, 355–364 (2011). https://doi.org/10.1016/S0894-9166(11)60036-0

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  • DOI: https://doi.org/10.1016/S0894-9166(11)60036-0

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