复合结构梁断面的扭转中心

一、引言 精确地计算梁断面的弯心和扭心位置是研究梁或叶片结构的弹性静、动力学的基础。一些特殊断面,如开口或闭口薄壁断面的弯心和扭心,已有许多研究。相反,复合结构梁或复合材料梁断面的研究还相当少。Muskhelishvili把圣文南扭转理论推广到非均匀介质梁,并求得了几种简单形状断面梁的扭转函数。近年来相继发表了一些用差分法和有限元法求解扭转函数和扭转刚度的文章。

CENTRE OF TWIST OF COMPOSITE CONSTRUCTION BEAMS

In this paper, the centre of twist for beams with a composite rectangular cross section compounded of two different uniform isotropic materials is derived both analytically and numerically over a range of aspect, stiffness and split ratios. The analytical solution is exact in the view of the "mathematical theory of elasticity" and can be considered as the standard for appraising the developing numerical techniques for section property analysis of more complex composite beams.