摘要
本文对不同刚度、不同长度、不同支承条件的具有对称截面的重叠梁,在任何载荷作用下产生的弯扭变形而引起的接触问题进行了分析,导出了单侧线接触、双侧线接触时的压力分布规律及点接触定理;给出了一个静不定梁算例,当外载变化时将出现单侧接触区、双侧接触区与点接触的复杂情况,而数值计算描述了当外载增长时接触区与反力变化的发展过程。
In this paper an analysis of contact problems about two overlapping symmetrical elastic beams which are subjected to bending and torsion by the action of arbitrary loads is presented. The two beams have different cross sections, stiffnesses, lengths and supported conditions. The laws of the pressure distribution on one-sided and two-sided line contact are developed and the theorems of point contact are proved. An example of statically indeterminate beams is given. The numerical calculation shows that the one-sided, two-sided line contact segments and the reactions at the contact points vary with the increase of the acted loads.
出处
《力学学报》
EI
CSCD
北大核心
1991年第2期172-180,共9页
Chinese Journal of Theoretical and Applied Mechanics
基金
国家自然科学基金
关键词
梁
接触
弯曲
扭转
对称
截面
contact of beams, bending and torsion
