考虑剪切变形的矩形截面薄壁杆件畸变分析

在以往不考虑剪切变形的畸变分析理论基础上，假设翘曲位移及切向位移的分布函数，考虑剪切变形的影响，利用最小势能原理建立单位均布畸变荷载作用下的畸变角微分方程。采用一般解法对该畸变角微分方程进行求解，并推导求解的初参数法。随之，通过实例验证了本文理论的正确性，结果表明考虑剪切变形的影响大大提高了考虑畸变效应的计算精度。

Distortion of thin-walled bar with rectangular section taking account of shear deformation

Based on the traditional distortion theory which did not take shear deformation into account, the warping displacement function and tangential displacement function under anti-symmetrical load are supposed. Then taking shear deformation into account and with potential principle, the governing differential equation for distortion angle subjected to uniformly distributed distortion load is established. The differential equation is solved and the format of initial parameters is deduced. With a case, the theory proposed in this paper is verified. It is drawn that taking shear deformation into account results in a fairly higher accuracy.