开口薄壁结构弯扭屈曲能量原理的有限变形理论分析

Analysis of the Energy Principle of Torsional-Flexural Buckling of Thin-walled Open Cross Section Member by the Finite Deformation Theory

本文从最一般的有限变形理论出发,引入符拉索夫提出的“横截面形状不变”及构件中面内的剪应变为零这两条假设,导出了任意开口薄壁结构考虑几何非线性因素后的总势能表达式.从推导过程中可以清楚地了解各种因素的作用及影响.

The formulas of the total potential energy of arbitrary thin- walled open cross section member counting in the geometric non-linear factors is deduced. The deductions are based on the most general finite deformation theory and the two assumptions that'the shape of cross section remains unchanged' and that'the shear deformation of the middle surface can be ignored'. The actions and influences of various factors are clearly shown in the analysis process.