Ng, T. Y.; Lam, K. Y.; Reddy, J. N. Dynamic stability of cylindrical panels with transverse shear effects. (English) Zbl 0942.74034 Int. J. Solids Struct. 36, No. 23, 3483-3496 (1999). 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. Cited in 2 Documents MSC: 74H55 Stability of dynamical problems in solid mechanics 74K25 Shells Keywords:simply-supported isotropic cylindrical panels; dynamic stability; Donnell’s shell theory; first-order shear deformation theory; system of Mathieu-Hill equations; normal-mode expansion; parametric resonance; Bolotin’s method; thickness-to-radius ratio; instability regions PDFBibTeX XMLCite \textit{T. Y. Ng} et al., Int. J. Solids Struct. 36, No. 23, 3483--3496 (1999; Zbl 0942.74034) Full Text: DOI