Accurate Free Vibration of Functionally Graded Skew Plates  

作　　者：Jin Chunhua Wang Xinwei 

机构地区：[1]State Key Laboratory of Mechanics and Control of Mechanical Structures,Nanjing University of Aeronautics and Astronautics [2]School of Civil Engineering and Architecture,Nantong University

出　　处：《Transactions of Nanjing University of Aeronautics and Astronautics》2017年第2期188-194,共7页南京航空航天大学学报（英文版）

基　　金：supported by the Priority Academic Program Development of Jiangsu Higher Education Institutions

摘　　要：The present study aims to analyze free vibration of thin skew plates made of functionally graded material(FGM)by using the weak form quadrature element method.The material properties vary continuously through the thickness according to a power-law form.A novel FGM skew plate element is formulated according to the neutral surface based plate theory and with the help of the differential quadrature rule.For verifications,Numerical results are compared with available data in literature.Results reveal that the non-dimensional frequency parameters of the FGM skew plates are independent of the power-law exponent and always proportional to those of homogeneous isotropic ones when the coupling and rotary inertias are neglected.In addition,employing the physical neutral surface based plate theory is equivalent to using the middle plane based plate theory with the reduced flexural modulus matrix.The present study aims to analyze free vibrat ion of thin skew plates made of functionally graded mater ial （FGM） by using the weak form quadrature element method. The material properties vary continuously through the thickness according to a power-law form. A novel FGM skew plate element is formulated according to the neutral surface based plate theory and with the help of the differential quadrature rule. For verifications,Numerical results are compared with available data in literature. Results reveal that the non-dimensional frequency parameters of the FGM skew plates are independent of the power-law exponent and always proportional to those of homogeneous isotropic ones when the coupling and rotary inertias are neglected. In addition, employing the physical neutral surface based plate theory is equivalent to using the middle plane based plate theory with the reduced flexural modulus ma-trix.

关 键 词：functionally graded material(FGM) skew plate free vibration quadrature element method neutral surface 

分 类 号：TB332[一般工业技术—材料科学与工程]