Effect of different geometrical non-uniformities on nonlinear vibration of porous functionally graded skew plates: A finite element study

作     者：H.S.Naveen Kumar Subhaschandra Kattimani H.S.Naveen Kumar;Subhaschandra Kattimani

作者机构：Department of Mechanical EngineeringNational Institute of Technology KarnatakaSurathkal575025India 

出 版 物：《Defence Technology（防务技术）》 (Defence Technology)

年 卷 期：2022年第18卷第6期

页      面：918-936页

核心收录：

学科分类：08[工学] 0806[工学-冶金工程] 0817[工学-化学工程与技术] 081402[工学-结构工程] 081304[工学-建筑技术科学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0802[工学-机械工程] 0703[理学-化学] 0813[工学-建筑学] 0814[工学-土木工程] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 0702[理学-物理学] 

主　　题：Functionally graded material Shear deformation theory Porosity distributions Variable thickness Geometrical skewness Nonlinear free vibration 

摘      要：This article presents the investigation of nonlinear vibration analysis of tapered porous functionally graded skew(TPFGS)plate considering the effects of geometrical non-uniformities to optimize the thickness in the structural *** TPFGS plate is analyzed considering linearly,bi-linearly,and exponentially varying *** plate’s effective material properties are tailor-made using a modified power-law distribution in which gradation varies along the thickness direction of the TPFGS *** the non-linear finite element formulation to develop the kinematic equation’s displacement model for the TPFGS plate is based on the first-order shear deformation theory(FSDT)in conjunction with von Karman’s *** nonlinear governing equations are established by Hamilton’s *** direct iterative method is adopted to solve the nonlinear mathematical relations to obtain the nonlinear *** influence of the porosity distributions and porosity parameter indices on the nonlinear frequency responses of the TPFGS plate for different skew angles and variable thicknesses are studied for various geometrical *** influence of taper ratio,variable thickness,skewness,porosity distributions,gradation,and boundary conditions on the plate’s nonlinear vibration is *** nonlinear frequency analysis reveals that the geometrical nonuniformities and porosities significantly influence the porous functionally graded plates with varying thickness than the uniform ***,exponentially and linearly variable thicknesses can be considered for the thickness optimizations of TPFGS plates in the structural design.