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 temperaturedependent. 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.
李清禄,王文涛,杨静宁. 材料属性温度相关变厚度FGM圆板自由振动DQM求解[J]. 振动与冲击, 2018, 37(10): 218-224.
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. JOURNAL OF VIBRATION AND SHOCK, 2018, 37(10): 218-224.
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