摘要
本文通过虚功原理建立了弹性长圆管在弯曲与外压共同作用下的控制方程.从半弯矩理论出发,采用三角级数法数值求解了极值型失稳问题,重点研究了初始非圆度的影响,文中还讨论了 S.Kyriakides & P.K.Shaw 在“弹性圆管在弯曲与外压联合作用下的响应与稳定性”一文中引用的几条假设的合理性和级数解的收敛性.
Formulates the governing equationes of the long elastic circular pipes under combined bending and exter- nal pressure are formuluted by means of Virtural Work Principle.From“Semi-moment”theory,the limit insta- bility is solved numerically by the aid of series methods.In estigates the effects of initial out of roundness on buckling emphatically.In addition,discusses the reasonablenoss of the several assumptions used in“responds and stability of elastoplastic circular pipes under combined bending and external pressure”(S.Kyriades & P.K. Shaw,1982)and the convergence of the series solves.
出处
《大连铁道学院学报》
1991年第4期41-46,共6页
Journal of Dalian Railway Institute
关键词
弹性力学
屈曲
弹性稳定性
elasticity mechanics
buckling
elastic stability
elastic instability/long elastic circular pipes
limit instability
