Free vibration analysis of elastically supported functionally graded annular plates subjected to thermal environment |
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| Authors: | P Malekzadeh M R Golbahar Haghighi M M Atashi |
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| Institution: | 1.Department of Mechanical Engineering, School of Engineering,Persian Gulf University,Bushehr,Iran;2.Center of Excellence for Computational Mechanics,Shiraz University,Shiraz,Iran;3.Department of Mechanical Engineering,Islamic Azad University, Neyriz Branch,Neyriz,Iran |
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| Abstract: | Free vibration analysis of functionally graded (FG) thin-to-moderately thick annular plates subjected to thermal environment
and supported on two-parameter elastic foundation is investigated. The material properties are assumed to be temperature-dependent
and graded in the thickness direction. The equations of motion and the related boundary conditions, which include the effects
of initial thermal stresses, are derived using the Hamilton’s principle based on the first order shear deformation theory
(FSDT). The initial thermal stresses are obtained by solving the thermoelastic equilibrium equations. Differential quadrature
method (DQM) as an efficient and accurate numerical tool is adopted to solve the thermoelastic equilibrium equations and the
equations of motion. The formulations are validated by comparing the results in the limit cases with the available solutions
in the literature for isotropic and FG circular and annular plates. The effects of the temperature rise, elastic foundation
coefficients, the material graded index and different geometrical parameters on the frequency parameters of the FG annular
plates are investigated. The new results can be used as benchmark solutions for future researches. |
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