薄壁杆件截面几何特性计算的比拟有限元法

AN ANALOGOUS MODEL FOR FINITE ELEMENT ANALYSIS OF SECTIONAL PROPERTIES OF THIN-WALLED BARS

  • 摘要: 针对任意截面形式的开闭口薄壁截面几何特性的计算,提出了一种便于计算机实现的比拟有限元法。根据能量驻值原理导出的截面单元扇性坐标控制方程,通过采用有限元比拟方法,建立了求解截面扇性坐标等几何特性的计算机算法,并用FORTRAN语言编制了相应的计算机程序CPTBGS。本文所提出算法的优点是物理概念明确且效率很高,特别适用于具有任意截面形式的开闭口薄壁杆件截面几何特性的计算机计算。

     

    Abstract: An effective algorithm for calculation of the sectional properties of thin-walled bars with generalsections is presented in the paper. Based on the principle of maximum shear strain energy, the governing equations with nodal sectional coordinates as unknowns are established. An effective solution technique which incorporates the concept of FEM (finite element method) is provided to calculate the primary unknowns. As a result, the sectional properties can be obtained conveniently. A microcomputer program CPTBGS (A Computer Program for Cross-sectional Properties of Thin-walled Bars with General Sections) is developed in FORTRAN language.Several examples are provided to validate the proposed method and the developed program CPTBGS.

     

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