ARTICLE
Dynamic instability analysis of porous sigmoid functionally graded truncated conical shells subjected to combined pressures
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1
School of Architecture and Transportation Engineering, Guilin University of Electronic Technology, Guilin, China
2
School of Physics and Telecommunication, Yulin Normal University, Yulin, China
Submission date: 2025-11-05
Final revision date: 2026-06-02
Acceptance date: 2026-06-13
Online publication date: 2026-06-22
Publication date: 2026-06-23
Corresponding author
Wei WU
School of Physics and Telecommunication, Yulin Normal University, Yulin, China
Journal of Theoretical and Applied Mechanics 2026;64(2):165-181
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ABSTRACT
An improved model for assessing the material properties of porous sigmoid functionally graded (S-FGM) conical shells is introduced. Governing equations are derived within thin-shell theory, incorporating static hydraulic pressure, axial periodic loading, and a Winkler–Pasternak foundation. Critical frequencies and unstable regions are obtained via the Galerkin and Bolotin methods. Parametric studies show that the critical frequency decreases with higher porosity, half-vertex angle, or radius-thickness ratio, but increases with ceramic content or foundation stiffness. Porosity fraction and static axial loading notably affect instability regions, while hydraulic pressure has a negligible effect.
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