Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (9): 1081-1088.

• Articles • Previous Articles     Next Articles

AN IMPROVED ARC-LENGTH METHOD AND APPLICATION IN THE POST-BUCKLING ANALYSIS FOR COMPOSITE STRUCTURES

ZHU Ju-fen, CHU Xiao-ting   

  1. Department of Engineering Mechanics, Dalian University of Technology, Dalian 116023, P.R.China
  • Received:2001-03-09 Revised:2002-05-16 Online:2002-09-18 Published:2002-09-18
  • Supported by:

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

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 sheik structures for tracing whole load-deflection path and obtaining the convergence values at any specified load levels.

2010 MSC Number: 

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