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Free vibration analysis of elastically supported functionally graded annular plates subjected to thermal environment

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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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Authors and Affiliations

  1. Department of Mechanical Engineering, School of Engineering, Persian Gulf University, Bushehr, 75168, Iran

    P. Malekzadeh & M. R. Golbahar Haghighi

  2. Center of Excellence for Computational Mechanics, Shiraz University, Shiraz, Iran

    P. Malekzadeh

  3. Department of Mechanical Engineering, Islamic Azad University, Neyriz Branch, Neyriz, Iran

    M. M. Atashi

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  1. P. Malekzadeh
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  2. M. R. Golbahar Haghighi
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  3. M. M. Atashi
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Correspondence to P. Malekzadeh.

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Malekzadeh, P., Golbahar Haghighi, M.R. & Atashi, M.M. Free vibration analysis of elastically supported functionally graded annular plates subjected to thermal environment. Meccanica 46, 893–913 (2011). https://doi.org/10.1007/s11012-010-9345-5

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  • DOI: https://doi.org/10.1007/s11012-010-9345-5

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