Dynamic stability of cylindrical panels with transverse shear effects

Abstract The dynamic stability of simply-supported, isotropic cylindrical panels under combined static and periodic axial forces are investigated. An extension of Donnells shell theory to a first-order shear deformation theory is used, and a system of Mathieu–Hill equations are obtained via a normal-mode expansion, and the parametric resonance response was analyzed using Bolotins method. Results are compared with those obtained using the classical shell theory. The effects of the thickness-to-radius ratio on the instability regions are examined in detail.

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