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

Chia, Chuen-Yuan

Int. J. Solids Struct. 23, 1123-1132 (1987).

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

Keywords:

single-made analysis; perturbation; load carrying capacity; unified approximate solution; Marguerre-type equations; Galerkin procedure; flat- plate problem; fundamental nonlinear free vibration; postbuckling; isotropic; orthotropic; symmetrically laminated cross-ply shallow cylindrical panels; various curvatures; in-plane forces; geometrically initial imperfections; geometries of laminations