矩形截面薄壁杆件畸变效应分析的半离散解法

Semi-Discrete Numerical Method for Distorsion Effection of Rectangle Cross Section Thin-walled Bar

对矩形截面薄壁杆件提出一种基于势能原理的薄壁杆件扭转分析的半离散解法。该方法放弃了古典薄壁杆理论的两个基本假设，能同时描述剪力滞后和畸变两种现象。杆件核截面的翘曲位移采用转换的Ｂ３样条函数插值，提出了畸变能的概念。导出控制微分方程和自然边界条件，并可得到较符合实际的解答。

Based on the POtential principle, the paper preseat a newsemi-discrete numerical method for rectangle cross secton thin-walled bar's tWist analyses. By abandoning the tWo classic assumption ofthin-walled hap the effection of shear lag and distorsion pheomenoncan be considered under the present theory in the meantime. The newinterPOlation function, called 'trmsformed spline function ', is usedtO simulate the longitudinal wraping displacement along the centerline of the cross section. The new concept of distorsion enemy is in- introduced By means of the vacational principle, a group ofordinnydifferential equations (ODES) and boundmpconditions (BCS) canbe derived and the solution well concordant with practice can be obtained.