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An improved arc-length method and application in the post-buckling analysis for composite structures

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Abstract

Based on the conventional arc-length method, an improved arc-length method with high-efficiency is proposed. The weighted modifications with respect to the variation of structural stiffness and extra-interpolation modification by using the information of known equilibrium points are introduced to improve the incremental arc-length. An approximate expansion method for the accumulated and expected arc-length is used to ensure the convergence at given load levels in large range of applications. Numerical results show that the improved arc-length method has well adaptability and higher efficiency in the post-buckling analysis of plates and shells structures for tracing whole load-deflection path and obtaining the convergence values at any specified load levels.

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Authors and Affiliations

  1. Department of Engineering Mechanics, Dalian University of Technology, 116023, Dalian, P R China

    Zhu Ju-fen Professor & Chu Xiao-ting

Authors
  1. Zhu Ju-fen Professor
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  2. Chu Xiao-ting
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Additional information

Communicated by LÜ He-xiang

Foundation item: the Aeronauties Science Foundation of China (00B01001)

Biography: ZHU Ju-fen (1942−)

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Ju-fen, Z., Xiao-ting, C. An improved arc-length method and application in the post-buckling analysis for composite structures. Appl Math Mech 23, 1081–1088 (2002). https://doi.org/10.1007/BF02437719

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  • DOI: https://doi.org/10.1007/BF02437719

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