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Dynamic stability of cylindrical panels with transverse shear effects. (English) Zbl 0942.74034

Summary: We investigate the dynamic stability of simply-supported, isotropic cylindrical panels under combined static and periodic axial forces. An extension of Donnell’s shell theory to a first-order shear deformation theory is used, a system of Mathieu-Hill equations is obtained via a normal-mode expansion, and the parametric resonance response is analyzed by using Bolotin’s method. Results are compared with those obtained from classical shell theories. We examine in detail the effect of thickness-to-radius ratio on the instability regions.

MSC:

74H55 Stability of dynamical problems in solid mechanics
74K25 Shells
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