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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。
Aiming at the calculation of geometrical characteristics of thin-walled section with open or closed cross section, a comparative FEM method which is easy to be implemented by computer is proposed. According to the fan-shaped coordinate governing equation of the cross-section element derived from the principle of energy stationed value, a computer algorithm for solving geometrical characteristics such as fan-shaped coordinates is established by using the finite element method. The corresponding computer program CPTBGS is compiled with FORTRAN language. The advantage of the proposed algorithm is its clear physical concept and high efficiency. It is especially suitable for computer calculation of cross-sectional geometric characteristics of thin-walled bars with open or closed cross-section.