Vibration analysis of functionally graded conical shells in thermal environment
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:Based on the spectro-geometric method, the prediction model for vibration characteristics of the functionally graded material (FGM) conical shell under thermal environment is established in this presentation. In the current model, temperature-dependent material characteristics, which change with the shell thickness direction is considered. Firstly, the boundary conditions for the shell is simulated with the artificial spring theory. The energy equation of the FGM conical shell under thermal environment is derived with the framework of the first-order shear deformation theory. Then, an efficient and accurate spectro-geometric method and the form of the sum of the products of the circumferential Fourier harmonic function are employed to express the displacement admissible function. On the basis, the displacement admissible functions are substituted into the energy equation. Also the Rayleigh-Ritz method is utilized to perform variational operations on the unknown coefficients of the displacement admissible function. The free and transient thermal vibration characteristics can be solved with the standard dynamic equation. By comparing the calculation results with those obtained from the existing literatures and finite element analysis, the accuracy and reliability of the current model is demonstrated. Finally, the effect of the boundary conditions, material properties, geometric properties and temperature field on the transient vibration characteristics of FGM conical shells are investigated.
Key words: functionally graded conical shell; thermal environment; free vibration; transient vibration; spectro-geometric method
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