轴向瞬间阶梯载荷下圆柱壳动力屈曲的双特征参数分析

对于轴向瞬间阶梯载荷下圆柱壳的弹性非轴对称动力屈曲问题，将临界应力和屈曲惯性项指数参数作为双特征参数求解。由能量转换和守恒准则，导出压缩波阵面上的屈曲变形附加约束条件。失稳控制方程、边界条件和波阵面上的连续条件，连同此附加约束条件构成求解两个特征参数和动力失稳模态的完备定解条件。由伽辽金法得出求解双特征参数问题的数值方法。

Twin-Characteristic-Parameters Method for Dynamic Buckling Analysis of Cylindrical Shells under Transient Step Load

The axial load parameter and the exponential parameter that characteristics inertial effect are treated as a couple of characteristic parameters in investigation on the asymmetric dynamic buckling of cylindrical shells subjected to transient, axial step loading. The criterion of energy transformation and conservation are used to derive the supplementary restraint condition of buckling deformation at the front of axial compression wave. The supplementary restraint condition together with stability equations and boundary conditions constitutes the necessary and sufficient conditions for determining the two characteristic parameters. The derived equations are solved by the Galerkin procedure.