宗钟凌, 郭小明. 基于接触协同作用结构非线性屈曲分析[J]. 工程力学, 2011, 28(6): 40-044.
引用本文: 宗钟凌, 郭小明. 基于接触协同作用结构非线性屈曲分析[J]. 工程力学, 2011, 28(6): 40-044.
ZONG Zhong-ling, GUO Xiao-ming. NONLINEAR BUCKLING ANALYSIS OF STRUCTURE BASED ON CONTACT SYNERGY[J]. Engineering Mechanics, 2011, 28(6): 40-044.
Citation: ZONG Zhong-ling, GUO Xiao-ming. NONLINEAR BUCKLING ANALYSIS OF STRUCTURE BASED ON CONTACT SYNERGY[J]. Engineering Mechanics, 2011, 28(6): 40-044.

基于接触协同作用结构非线性屈曲分析

NONLINEAR BUCKLING ANALYSIS OF STRUCTURE BASED ON CONTACT SYNERGY

  • 摘要: 工程结构中结构或构件之间存在接触摩擦现象是较为普遍的,接触协同作用使得结构非线性屈曲问题的数值求解变得困难。该文从这一实际问题出发,采用子结构凝聚自由度的有限元方法得到基于接触界面问题的非线性有限元平衡方程,通过增广拉格朗日乘子法对接触问题的约束条件进行处理,并与柱面弧长法结合,对非线性屈曲问题进行全过程跟踪求解。算例结果表明接触协同作用对结构的非线性屈曲过程影响明显,有必要在实际工程结构设计中考虑接触协同作用的影响。

     

    Abstract: The contact friction problem in structural engineering is very common. Contact synergy makes the solution of nonlinear buckling become more difficulty. From this practical problem, a non-linear finite element equilibrium equation based on the contact interface is build by the finite element method of sub-structure using a cohesion degree of freedom in this paper, and the contact constraint dealt with by the augmented Lagrangian multiplier method is combined with the cylindrical arc-length method combining the problem to track the entire solving process of the nonlinear buckling. The results of number examples show that the contact synergy has a distinct effect to the solving possess of nonlinear buckling, and it is necessary to consider the contact synergy effect in the practical design.

     

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