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通过解析法研究外压作用下功能梯度加劲薄圆柱壳的非线性屈曲和后屈曲性能。通过其在内部的偏心环和纵梁对壳体进行加固,假定壳体和加固件的材料性能在厚度方向为连续梯度。根据VonKarman理论中的刚度法和传统的壳理论推导出基本关系和平衡方程,可更准确地选择三种关于挠曲的近似公式,且使用盖勒金法得出的显式表达式可以推测出临界荷载和后屈曲压力-挠曲曲线。数值结果显示了加固件能有效地增强壳体稳定性。
The nonlinear buckling and post-buckling behavior of functionally stiffened thin cylindrical shells subjected to external pressure were investigated by analytical method. The shell is reinforced by its inner eccentric rings and stringers, assuming that the material properties of the shell and reinforcement are continuous in the thickness direction. According to the rigid law in VonKarman’s theory and the traditional shell theory, the basic relation and equilibrium equation are deduced, and three approximate formulas about deflection can be selected more accurately. The explicit expressions obtained by the Gueljinko method can be inferred Critical load and post-buckling pressure-deflection curves. Numerical results show that the reinforcement can effectively enhance the stability of the shell.