The free vibration behavior of sandwich conical shells with reinforced cores is investigated in the present study using experimental, analytical, and numerical methods. A new effective smeared method is employed to superimpose the stiffness contribution of skins with those of the stiffener in order to achieve equivalent stiffness of the whole structure. The stiffeners are also considered as a beam to support shear forces and bending moments in addition to the axial forces. Using Donnell’s shell theory and Galerkin method, the natural frequencies of the sandwich shell are subsequently derived. To validate analytical results, experimental modal analysis (EMA) is further conducted on the conical sandwich shell. For this purpose, a method is designed for manufacturing specimens through the filament winding process. For more validation, a finite element model (FEM) is built. The results revealed that all the validations were in good agreement with each other. Based on these analyses, the influence of the cross-sectional area of the stiffeners, the semi-vertex angle of the cone, stiffener orientation angle, and the number of stiffeners are investigated as well. The results achieved are novel and can be thus employed as a benchmark for further studies.

本研究使用实验、分析和数值方法研究了带有加强芯的夹层圆锥壳的自由振动行为。采用一种新的有效涂抹方法将蒙皮的刚度贡献与加劲肋的刚度贡献叠加，以实现整个结构的等效刚度。除了轴向力之外，加强筋也被认为是支撑剪切力和弯矩的梁。使用 Donnell 壳理论和 Galerkin 方法，随后推导出夹心壳的固有频率。为了验证分析结果，在锥形夹心壳上进一步进行了实验模态分析 (EMA)。为此，设计了一种通过纤维缠绕工艺制造样品的方法。如需更多验证，建立有限元模型（FEM）。结果表明，所有的验证都相互吻合。在这些分析的基础上，还研究了加强筋截面积、圆锥半顶角、加强筋取向角和加强筋数量的影响。取得的结果是新颖的，因此可以用作进一步研究的基准。