摘要
由变分法中的最小势能原理导出一端固定一端自由梁柱屈曲时的最小极限压力，并用总位能的二阶变分说明这个最小极限压力就是该梁柱的欧拉临界压力Ｐｃｒ。
In this paper,on the basis of the principle of minimm potential energy,the minimm limit compression force is obtained by the variation calculus and,by using the second order variation of the total potential energy,the minimm limit force is proved to be the critical pressure for the beam,which is fixed at one end and free at the other end to lose stability.
出处
《贵州工业大学学报（自然科学版）》
CAS
1998年第2期18-22,46,共6页
Journal of Guizhou University of Technology(Natural Science Edition)
关键词
屈曲
稳定平衡
临界压力
变分法
梁柱
buckling
stable equilibrium
variation
positive definite quality
oritical pressure
