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主要探讨轴向压缩下沿轴向任意厚度变化较小的圆柱壳的屈曲特性。通过扰动扩张推导出与任意厚度改变参数相关的压屈临界荷载的一般渐进公式。对影响轴压下圆柱壳屈曲的3种厚度变化模态(轴对称模态、局部畸变和逐步畸变)分别进行了研究。研究发现轴对称模态下薄壳屈曲载荷的一般分析结果与Koiter理论相符。由于厚度逐步变化的圆柱壳薄壁结构在实际工程中应用广泛,故特别对其屈曲进行理论研究,同时还进行了数值分析并与理论结果进行了对比。
In this paper, the buckling characteristics of a cylindrical shell with little change in thickness along the axial direction under axial compression are mainly discussed. A general asymptotic formula for the critical load of buckling associated with any thickness-varying parameter is derived by perturbation of the dilation. Three kinds of thickness variation modes (axisymmetric modes, local distortions and stepwise distortions) that affect the buckling of cylindrical shells under axial compression were studied respectively. It is found that the general analysis results of buckling load of thin shell under axisymmetric modal coincide with Koiter’s theory. Due to the wide variation of the thickness of the thin-walled cylindrical shell in the practical application of a wide range of applications, so its theoretical study of buckling in particular, but also conducted a numerical analysis and compared with the theoretical results.