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.
基金
supported by the Priority Academic Program Development of Jiangsu Higher Education Institutions
