Abstract The symplectic wave-based method is extended to the free and forced vibration analysis of thin orthotropic circular cylindrical shells with arbitrary boundary conditions. The key of this extension is to derive the characteristic equation for thin orthotropic circular cylindrical shells so that the symplectic eigenproblem which gives wave modes can be formed. According to the phase coincidence condition which determinates the relationship between the wave modal shape and natural modal shape, the present method gives an analytical procedure for free vibration analysis. And steady state forced responses under arbitrary boundary conditions are obtained by using the wave propagation analysis based on the symplectic system. Compared with the existing methods for vibration analysis of thin orthotropic circular cylindrical shell, the present method shows better accuracy and convergence, especially for high-frequency vibrations, which is illustrated by the results shown in numerical examples.

中文翻译：

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任意边界条件下正交各向异性圆柱薄壳自由稳态受迫振动分析的基于辛波的方法

摘要 将基于辛波的方法推广到任意边界条件的正交各向异性圆柱薄壳的自由和受迫振动分析。这个扩展的关键是推导出薄正交各向异性圆柱壳的特征方程，从而形成给出波模的辛本征问题。根据确定波形模态与自然模态之间关系的相位重合条件，本方法给出了自由振动分析的解析程序。并利用基于辛系统的波传播分析得到任意边界条件下的稳态受迫响应。与现有的正交各向异性圆柱壳薄壁振动分析方法相比，