摘要
本文应用半逆解法给出了矩形截面悬臂梁在多种荷载共同作用时的应力与位解的解析解,指出了此解析解可分解为各种简单荷载作用下的解析解之和,因而符合叠加原理.通过将各种荷载作用下的解析解与有限元解进行对比分析,得到一些有意义的结果.
By virtue of semi-inverse method in theory of elasticity. the analytic solution of the stress and the displacement of a rectangular cantilcver beam under existance of multiple loads are given. The analytic solution can be divided into some solutions under single existance of thosc loads. so the reduplicativc principle can be used. By contrasting the analytic solution with the finite element solution .some bcneficial results can be obtained.
关键词
悬臂梁
应力
位移
有限元
解析解
cantilever beam
stress
displacement
finite element method