径向均布荷载下弹性约束圆弧拱的屈曲分析

Buckling Analysis of Elastically Restrainted Circular Arches under Uniform Radial Load

采用线性方法研究了面内径向均布载荷作用下,轴向及径向为弹性支撑圆拱的面内屈曲问题,得到了圆拱临界载荷的解析解。该结果可以退化成铰支支座形式时圆拱的临界载荷结果。最后利用所得到的解析结果,分析了轴向及径向弹簧刚度分别对圆拱临界载荷的影响,研究结果对实际工程有一定的指导意义。

The in-plane buckling of circular arches with elastical supports which are subjected to a radialload uniformly distributed around the arch axis has been investigated with linear method. Analytical solu-tions for the critical buckling load are obtained for circular arches. The analytical solutions will be equal tothe circular arches critical load of one with pin supports. Adopting the analytical solutions, radical and axisspring stiffness affect for circular arches critical load was analyzed numerically at last. The results can bringsome guidance to engineering practice.