Closed-form expression for nonlinear analysis of imperfect sigmoid-FGM plates with variable thickness resting on elastic medium
作者： Pham-Toan Thang , T. Nguyen-Thoi , Jaehong Lee
DOI: 10.1016/J.COMPSTRUCT.2016.02.002
关键词: Plate theory 、 Mechanics 、 Compression (physics) 、 Material properties 、 Buckling 、 Mathematics 、 Structural engineering 、 Closed-form expression 、 Galerkin method 、 Airy function 、 Nonlinear system
摘要: Abstract With the aim of reducing weight structures, functionally graded materials (FGM) plates with variable thickness have been widely used in various engineering applications such as aeronautical, mechanical and ocean structures. However so far, analytical approaches for analyzing instability behaviors FGM are still somehow limited literature. The paper hence presents an approach to investigate influences on buckling postbuckling behavior imperfect sigmoid (S-FGM) resting elastic medium subjected compressive loading. material properties S-FGM assumed be direction according a simple power law distribution terms volume fractions constituents. Governing equations based classical plate theory von Karman-type geometric nonlinearity. initial geometrical imperfections also accounted. By using Galerkin procedure Airy stress function, resulting solved obtain closed form expressions nonlinear equilibrium paths. effects power-law indices, coefficients foundation, parameters stability comprehensively investigated. results reveal that has significant effect under compression
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