Free vibration analysis of functionally graded annular plates under thermal environment by the spectro-geometric method
SHI Xianjie1,ZUO Peng1,2
1.Institute of Systems Engineering, China Academy of Engineering Physics, Mianyang 621999, China;
2.Department of Modern Mechanics, University of Science and Technology of China, Hefei 230026, China
Abstract:A free vibration analysis model of functionally graded annular plates under thermal environment is established with the spectro-geometric method. Firstly, the model assumes that the material properties are temperature-dependent and show a continuous gradient along the thickness of the structure. Secondly, arbitrary boundary conditions are simulated by setting various type boundary restraining springs along boundary edge. Based on the first-order shear deformation theory, the vibration energy equation of the functionally graded annular plate is deduced. Thirdly, the displacement admissible functions are expressed with spectro-geometric method and Fourier series function. Then the Rayleigh-Ritz method is employed to derive the vibration analysis model for functionally graded annular plate under thermal environment. The numerical example gives a comparative analysis of the frequency characteristics of functionally graded annular plates considering thermal environment factors. The results show that the current model has good calculation accuracy. Also, it is suitable for analyzing the thermal vibration characteristics of functionally graded annular plates. Through the parameterization study of the FGM annular plate, it is found that the changes of the environmental temperature, boundary conditions, and gradient index will have an impact effect on the thermal vibration characteristics of the functionally graded annular plate.
石先杰1,左朋1,2. 热环境下功能梯度环板的谱几何法自由振动解[J]. 振动与冲击, 2022, 41(10): 1-7.
SHI Xianjie1,ZUO Peng1,2. Free vibration analysis of functionally graded annular plates under thermal environment by the spectro-geometric method. JOURNAL OF VIBRATION AND SHOCK, 2022, 41(10): 1-7.
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