摘要
从弹性力学平面问题的基本方程出发,导出了弹性力学平面问题的位移函数,提出了相应的位移函数差分法。该方法克服了应力差分法不能适用于位移边界条件的不足,可以求解具有任意边界的平面问题。用该方法对两端固支的方形深梁作了计算并与有限元法计算结果作了比较,表明该方法具有较好的精度。
A displacement function for a elasticity's plane problem is obtained, and an appropriate differential methed is presented The methed ,avoiding the its unsuitability in solving the problem with displacement boundary condition,can solve any plane problems with boundary conditions As an example, a deep beam fixed with ends is analysed by the method ,and the solution is compared with the solution of finite element method It is indicated that the methed is a new numerical one with higher accuracy in structure analysis
出处
《江汉石油学院学报》
CSCD
北大核心
1997年第3期83-86,共4页
Journal of Jianghan Petroleum Institute
关键词
弹性力学
位移函数
差分格式
平面问题
elasticity mechanicals
plane stress
plane strain
displacement
function
differntial methed
boundary condition