摘要
利用数学分析的基本知识建立了联合载荷作用下压杆的一般控制方程.基于两点边值问题的打靶法计算了悬臂梁在某些特定联合载荷作用下的后屈曲载荷.通过与T im oshenko用椭圆积分法所得结果进行比较,证明了方法的可行性.
Using the fundamental knowledge of mathmatical analysis, this paper estabilishes the general controlling equation of a compressive rod under a combined load. The post-buckling loads of a cantilever beam and a simple supporting beam under several kinds of specified combined loads are calculated by numerical intergral based in shooting method. The rationality of the method is proved by compared with the results given by Timosenko using elliptical intergral method by Rao using finite element method.
出处
《数学的实践与认识》
CSCD
北大核心
2006年第8期140-143,共4页
Mathematics in Practice and Theory
基金
江苏大学高级人才基金(04jdg010)
关键词
压杆
稳定性
联合载荷
打靶法
compressive rod
stability
combined load
shooting method
