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This paper presents a new Generalized Beam Theory (GBT) formulation for vibration analysis of isotropic thin truncated conical shells with circular cross-section. In comparison with previous formulations, the present one does not neglect any membrane strain terms and generally provides better results. The natural frequencies and the associated vibration mode shapes are found for elastic thin-walled members under various loading levels and boundary conditions. The formulation is capable of handling members with very large longitudinal variation of the radius. It is shown that the proposed GBT formulation requires a very low number of degrees of freedom, in comparison with standard shell finite element models, and allows the identification of the relevant deformation modes in any vibration mode shape.

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Vibration Analysis of Thin-Walled Conical Shells Subjected to Axial Compression Using a New GBT Approach

  • 会议论文

  • 发表日期：

    2026年

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  • Victor Dan Popa,
  • Mihai Nedelcu,
  • Rodrigo Gonçalves

摘要

This paper presents a new Generalized Beam Theory (GBT) formulation for vibration analysis of isotropic thin truncated conical shells with circular cross-section. In comparison with previous formulations, the present one does not neglect any membrane strain terms and generally provides better results. The natural frequencies and the associated vibration mode shapes are found for elastic thin-walled members under various loading levels and boundary conditions. The formulation is capable of handling members with very large longitudinal variation of the radius. It is shown that the proposed GBT formulation requires a very low number of degrees of freedom, in comparison with standard shell finite element models, and allows the identification of the relevant deformation modes in any vibration mode shape.