Free vibration of FGM variable thickness circular plates with temperature dependent material&nbsp;properties by the DQM method in thermal environment

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Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (10) : 218-224.

Free vibration of FGM variable thickness circular plates with temperature dependent material properties by the DQM method in thermal environment

LI Qinglu，WANG Wentao，YANG Jingning

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Abstract

Based on the first order shear deformation theory and Hamilton's principle, the free vibration of functionally graded material (FGM) circular plates with variable thickness in thermal environment was investigated. The material properties of the functionally graded plates were assumed to vary along their thickness as a power function and be temperaturedependent. The differential motion equations of the axisymmetric FGM circular plates were derived in terms of the middle surface angles of rotation and the lateral displacements. By using the differential quadrature method(DQM)，the natural frequencies of the transverse free vibration of FGM annular plates with variable thickness subjected to thermal environment were obtained, and the formulations were validated by comparing the results with those available in literatures．The influences of different temperature field, thickness variation coefficient, volume fraction index and boundary conditions on the natural frequencies were discussed in detail.

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functionally graded material(FGM) / variable thickness circular plates / temperature-dependent / free vibration / natural frequency / DQM

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LI Qinglu，WANG Wentao，YANG Jingning. Free vibration of FGM variable thickness circular plates with temperature dependent material properties by the DQM method in thermal environment[J]. Journal of Vibration and Shock, 2018, 37(10): 218-224

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