Abstract
For the first time, the analysis of the free vibration performance related to the Combined Paraboloidal-Conical Shell (CPCS) structures is evaluated in this paper. To support, the First Shear Deformation Theory (FSDT) and General Shell Hypothesis (GSH) are involved in discovering the primary relationships related to the CPCS's shell segments. In addition, Hamilton's tactic determines the Governing Differential Motion Equations (GDMEs) affiliated with each shell segment of the CPCS. Further, the well-structured technique labeled the Generalized Differential Quadrature (GDQ) procedure is implemented to discretize the GDMEs. Furthermore, the eigenvalue determination is employed to derive the Natural Frequency Parameters (NFPs) of the CPCS structures. Additionally, because no study has been engaged in this structure in the literature, the NFPs measured by the proposed framework are contrasted with the NFPs found by FEM-based commercial software to credit the submitted methodology. In addition, the maximum error is observed to be equal to less than 0.5%. Based on this, the outputs of this paper can be used as the benchmark. Ultimately, by planning and solving novel examples, the effects of the geometry characteristics related to the CPCS are determined on the NFPs of the structure.
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