基于退化理论的空间梁单元有限元分析

A DEGENERATED 3D BEAM ELEMENT FOR FINITE ELEMENT ANALYSIS

  • 摘要: 从双线性退化板壳单元出发,演绎推导出了一种可以应用于空间有限元分析的退化梁单元。退化梁单元采用基本的平截面假设,并用轴线节点位移来表示梁单元的三维位移场。在进行单元有限元列式时,仍然沿用三维结构的几何方程和物理方程。在退化梁单元的理论基础上编制了有限元计算程序,通过对几个算例的分析,证明了这种基于退化理论的空间梁单元的精确、高效和通用,这种单元也可以广泛应用于大型结构空间双重非线性有限元分析。

     

    Abstract: In this paper,a degenerated beam element is developed,evolving from a bilinear degenerated shell element.Under the assumption of plane section,the 3D displacement field equation is discretized in terms of nodal displacements.The strain-displacement equations and constitutive equations of 3D structure are utilized in the formulation of the element.A FEM program has been developed.Several examples are tested to demonstrate the effectiveness,accuracy and versatility of this element.It is also shown that the element is applicable in the non-linear finite element analysis of complicated structures.

     

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