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Free Vibration Analysis of Moderately Thick Orthotropic Functionally Graded Plates with General Boundary Restraints

Institute of Intelligent Manufacturing and Robotics, College of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin 150001, China
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Materials 2018, 11(2), 273; https://doi.org/10.3390/ma11020273
Received: 16 January 2018 / Revised: 2 February 2018 / Accepted: 7 February 2018 / Published: 9 February 2018
(This article belongs to the Section Structure Analysis and Characterization)
In this paper, a modified Fourier series method is presented for the free vibration of moderately thick orthotropic functionally graded plates with general boundary restraints based on the first-order shear deformation theory. Regardless of boundary restraints, displacements and rotations of each plate are described as an improved form of double Fourier cosine series and several closed-form auxiliary functions to eliminate all the boundary discontinuities and jumps. Exact solutions are obtained by the energy functions of the plates based on Rayleigh-Ritz method. The convergence and reliability of the current method and the corresponding theoretical formulations are verified by comparing the present results with those available in the literature, and numerous new results for orthotropic functionally graded (OFG) plates with general boundary restraints are presented. In addition, the effects of gradient index, volume fraction and geometric parameters on frequencies with general boundary restraints are illustrated. View Full-Text
Keywords: orthotropic functionally graded plates; modified Fourier series method; free vibration; general boundary restraints; gradient index; volume fraction orthotropic functionally graded plates; modified Fourier series method; free vibration; general boundary restraints; gradient index; volume fraction
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Fu, Y.; Yao, J.; Wan, Z.; Zhao, G. Free Vibration Analysis of Moderately Thick Orthotropic Functionally Graded Plates with General Boundary Restraints. Materials 2018, 11, 273.

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