联合载荷作用下简支矩形板的屈曲和过屈曲

THE BUCKLING AND POST-BUCKLING OF SIMPLY-SUPPORTED RECTANGULAR PLATES UNDER COMBINATIONLOADS

本文研究了简支正交各向异性矩形板在两对板受中面压力作用下的屈曲和过屈曲性态,得到了载荷的稳定性区域,证明了临界载荷最多为二重的。利用多参数摄动方法求得临界载荷附近板的过屈曲状态的渐近解,分析了在二重临界载荷附近,当载荷按比例变化时,板的可能的过屈曲状态及其与参数的依赖关系。

The buckling and post-buckling behaviour of simply-supported ortho-tropic rectangular plates subjected to compressive forces along two opposite edges in the mid-plane is studied in this paper. The stability region of the load is obtained and it is shown that the critical load is at most double. By using the perturbation method with double parameters the asymptotic solution of the buckled state near the critical load is given, the possible buckled states and the dependence of them on parameters are analysed under the proportionally loading condition when the critical load is double.