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Nonlinear free vibration and postbuckling of symmetrically laminated orthotropic imperfect shallow cylindrical panels with two adjacent edges simply supported and the other edges clamped. (English) Zbl 0619.73046
A unified approximate solution to the Marguerre-type equations for the titled problem is formulated by the use of the Galerkin procedure. The corresponding flat-plate problem is treated as a special case. Numerical results for fundamental nonlinear free vibration and postbuckling behavior of isotropic, orthotropic and symmetrically laminated cross-ply shallow cylindrical panels are presented for various curvatures, in-plane forces, geometrically initial imperfections, and geometries of laminations. Present results are compared with available data.

MSC:
74H45 Vibrations in dynamical problems in solid mechanics
74G60 Bifurcation and buckling
74K15 Membranes
74K25 Shells
74E30 Composite and mixture properties
74R20 Anelastic fracture and damage
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