Influence of porosity distribution on nonlinear free vibration and transient responses of porous functionally graded skew plates  

作　　者：Naveen Kumar H S Subhaschandra Kattimani TNguyen-Thoi 

机构地区：[1]Department of Mechanical Engineering,National Institute of Technology Karnataka,Surathkal,575025,India [2]Division of Computational Mathematics and Engineering,Institute for Computational Science,Ton Duc Thang University,Ho Chi Minh City,Viet Nam [3]Faculty of Civil Engineering Ton Duc Thang University,Ho Chi Minh City,Viet Nam

出　　处：《Defence Technology（防务技术）》2021年第6期1918-1935,共18页Defence Technology

摘　　要：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.

关 键 词：Porous functionally graded skew plates Porosity distributions Nonlinear transient response Nonlinear frequency ratio Nonlinear frequency parameter 

分 类 号：TU311.3[建筑科学—结构工程]