Influence of porosity distribution on nonlinear free vibration and transient responses of porous functionally graded skew plates
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Date
2021
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Publisher
China Ordnance Industry Corporation
Abstract
This article deals with the investigation of the effects of porosity distributions on nonlinear free vibration and transient analysis of porous functionally graded skew (PFGS) plates. The effective material properties of the PFGS plates are obtained from the modified power-law equations in which gradation varies through the thickness of the PFGS plate. A nonlinear finite element (FE) formulation for the overall PFGS plate is derived by adopting first-order shear deformation theory (FSDT) in conjunction with von Karman's nonlinear strain displacement relations. The governing equations of the PFGS plate are derived using the principle of virtual work. The direct iterative method and Newmark's integration technique are espoused to solve nonlinear mathematical relations. The influences of the porosity distributions and porosity parameter indices on the nonlinear frequency responses of the PFGS plate for different skew angles are studied in various parameters. The effects of volume fraction grading index and skew angle on the plate's nonlinear dynamic responses for various porosity distributions are illustrated in detail. © 2021 The Authors
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Keywords
Frequency response, Grading, Iterative methods, Porosity, Shear deformation, Transient analysis, Vibration analysis, Effective material property, First-order shear deformation theory, Functionally graded skew plates, Non-linear finite elements, Non-linear free vibration, Nonlinear frequency response, Nonlinear strain displacements, Principle of virtual work, Porous plates
Citation
Defence Technology, 2021, 17, 6, pp. 1918-1935