摘要
本文首先利用能量变分原理得到了受径向约束水平受压管柱的屈曲微分方程及其应满足的端部边界条件。通过能量方法得到了管柱处于正弦屈曲状态时变形与载荷的关系,并证明了正弦屈曲中管柱的平衡状态是稳定的;求出了初始正弦屈曲的临界载荷和能保持正弦屈曲状态的最大载荷。屈曲微分方程的数值结果与理论解有良好的一致性。
The differential equation for buckling of tubulars in horizontal holes under axial loads and the two end conditions that the equation should be satisfied are derived by energy variation principle. The deformation functions in sinusoidal buckling process of buckled tubular are determined by the energy method. It is proved that the equilibrium of buckled tubular is stable in the sinusoidal buckling process. Based on the theoretical method, the initial critical sinusoidal buckling load and the maximum load maintaining the sinusoidal buckling are determined. Numerical results are shown to be in good agreement with the theoretical predicfions.
出处
《工程力学》
EI
CSCD
北大核心
2002年第6期44-48,共5页
Engineering Mechanics
基金
国家杰出青年科学基金项目(59825115)
