×

Reliability of uncertain flexible laminated skewed plates under random compressions. (English) Zbl 0751.73042

A geometrically nonlinear stochastic thin-plate finite element is formulated to study the reliability of fiber-reinforced laminated plates with structural uncertainties under random in-plane loads. The structural uncertainties considered include modulus of elasticity, Poisson’s ratio, thickness, fiber orientation of individual lamina, and geometric imperfection of the plate. The deterministic formulation of a 48–degree- of-freedom (DOF) skewed quadrilateral laminated thin-plate element is based on tensorial mathematics and classical laminate theory. The stochastic element formulation is accomplished by including the effect of structural uncertainties and random in-plane loads.

MSC:

74H50 Random vibrations in dynamical problems in solid mechanics
74K20 Plates
74E30 Composite and mixture properties
74S05 Finite element methods applied to problems in solid mechanics
PDFBibTeX XMLCite
Full Text: DOI