In this paper, the dynamic stiffness method (DSM) is developed for the vibration analysis of laminated cylindrical and conical shells, which are partially filled or surrounded by quiescent fluid. The Reissner and Naghdi’s thin shell theory and incompressible fluid equations are employed on the structures and fluid, respectively, so as to characterize the fluid–structure coupling model. Shell elements with/without fluid loadings are derived and assembled by using the dynamic stiffness method. Numerical examples of the free vibration analysis for both empty and fluid-filled shells are validated against previous studies. Remarkable advantages regarding computational efficiency and accuracy of the DSM, especially in high-frequency domain, are presented through response curves compared with finite element calculations. As for partially fluid-filled or fluid-surrounded laminated shells, parametric studies are made to find the effects of material properties, fluid heights and semi-vertex angles on the dynamic characteristics.

中文翻译：

---

使用动态刚度法的部分充满流体或流体包围的复合材料壳的自由振动

在本文中，动态刚度法 (DSM) 被开发用于层状圆柱和圆锥壳的振动分析，这些壳被静止流体部分填充或包围。结构和流体分别采用Reissner和Naghdi的薄壳理论和不可压缩流体方程来表征流固耦合模型。带有/不带有流体载荷的壳单元是通过使用动态刚度方法导出和组装的。空壳和充满流体的壳的自由振动分析的数值示例已根据先前的研究进行验证。与有限元计算相比，通过响应曲线展示了 DSM 在计算效率和精度方面的显着优势，尤其是在高频域中。