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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.

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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