梁杆结构几何非线性有限元的数值实现方法

NUMERICAL IMPLEMENTATION OF GEOMETRICALLY NONLINEAR FINITE ELEMENT METHOD FOR BEAM STRUCTURES

  • 摘要: 梁杆结构几何非线性有限元方法主要包括两个部分, 建立虚功方程和实现数值求解. 该文运用对比方法, 分析了采用UL型增量理论的梁杆结构几何非线性有限元法求解过程与连续体求解过程的主要不同点, 特别是论述了确定加载步末的内力状态的重要性和方法.

     

    Abstract: The geometrically nonlinear finite element method for beam structures consists of two parts: the development of virtual work equations and the corresponding numerical implementation. In this study, the solution procedure of the geometrically nonlinear finite element analysis using the Updated Lagrangian (UL) incremental approach for beam structures and three-dimensional continuum is presented, and major differences in the solution process are identified. Particularly, emphasis has been placed on the importance and the methodology of determining internal forces at the end of each load step.

     

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