薄壁杆件稳定分析的样条有限杆元法

Buckling analysis of thin-walled members using the spline finite member element method

根据势能驻值原理 ,提出在横向荷载作用下薄壁杆件稳定分析的样条有限杆元法。方法采用转换 B3样条函数模拟杆件横截面的翘曲位移场 ,并考虑了杆壁中面上剪切变形的影响 ,能很好地描述剪力滞后现象。适用于任意横截面形状和任意边界条件的薄壁杆件 ,为高层建筑和桥梁结构的稳定分析提供了可靠而有效的分析方法。文中讨论了横向荷载作用下具有不同边界条件的工字型薄壁梁的屈曲分析。数值算例的结果表明了方法的灵活性。

The displacement variational principle was used to develop the spline finite member element method for buckling analysis of thin walled members with shear lag effect. A transformed B 3 spline function was used to simulate the warping displacements along the cross section of the thin walled members. The proposed method is applicable to thin walled members of any cross section with any boundary condition. The method was evaluated by studying the elastic modes of I beams subjected to various loading conditions and different boundary conditions. The versatility, accuracy and efficiency of the proposed method compares well with classical theory.