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Free vibration analysis of functionally graded plates under uniform and linear thermal environment

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Abstract

In this work, the four-node quadrilateral element having seven degrees of freedom per node, developed earlier by the second author and his coworkers, is modified for free vibration analysis of functionally graded material (FGM) plates under uniform and linear thermal environment. The performance of the modified element is assessed by comparing the present results of the non-dimensionalized natural frequencies with the available analytical results as well as with 2D finite element results obtained using the commercial software ANSYS. It is observed that the performance of the present element is quite satisfactory for the isotopic FGM plates under uniform and linear thermal environment considered in this study with all edges simply supported as well as with all edges clamped boundary conditions.

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References

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Author notes

  1. G. A. Deshpande

    Present address: Department of Civil Engineering, College of Engineering Pune, Shivaji Nagar, Pune, 411005, India

Authors and Affiliations

  1. Department of Civil Engineering, College of Engineering Pune, Shivaji Nagar, Pune, 411005, India

    S. D. Kulkarni

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  1. G. A. Deshpande
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  2. S. D. Kulkarni
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Correspondence to G. A. Deshpande.

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Deshpande, G.A., Kulkarni, S.D. Free vibration analysis of functionally graded plates under uniform and linear thermal environment. Acta Mech 230, 1347–1354 (2019). https://doi.org/10.1007/s00707-017-2022-1

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  • DOI: https://doi.org/10.1007/s00707-017-2022-1

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