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AN IMPROVED ARC-LENGTH METHOD AND APPLICATION IN THE POST-BUCKLING ANALYSIS FOR COMPOSITE STRUCTURES
引用本文:朱菊芬,初晓婷. AN IMPROVED ARC-LENGTH METHOD AND APPLICATION IN THE POST-BUCKLING ANALYSIS FOR COMPOSITE STRUCTURES[J]. 应用数学和力学(英文版), 2002, 23(9): 1081-1088. DOI: 10.1007/BF02437719
作者姓名:朱菊芬  初晓婷
作者单位:Department of Engineering Mechanics,Dalian University of Technology,Dalian 116023,P R China,Department of Engineering Mechanics,Dalian University of Technology,Dalian 116023,P R China
基金项目:Foundation item:the Aeronauties Science Foundation of China(00B01001)
摘    要:
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.

收稿时间:2001-03-09

An improved arc-length method and application in the post-buckling analysis for composite structures
Zhu Ju-fen Professor,Chu Xiao-ting. An improved arc-length method and application in the post-buckling analysis for composite structures[J]. Applied Mathematics and Mechanics(English Edition), 2002, 23(9): 1081-1088. DOI: 10.1007/BF02437719
Authors:Zhu Ju-fen Professor  Chu Xiao-ting
Affiliation:Department of Engineering Mechanics, Dalian University of Technology, Dalian,116023, PR China
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.
Keywords:nonlinear  finite element analysis  arc-length method
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