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Study of the effect of thermal gradient on free vibration of clamped visco-elastic rectangular plates with linearly thickness variation in both directions

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Abstract

The effect of thermal gradient on the free vibration of clamped visco-elastic rectangular plate with linearly thickness variations in both the directions has been studied here. The governing differential equation has been solved using Rayleigh-Ritz technique. The frequency equation is derived for the clamped boundary condition on all the four edges. The effect of linear temperature variation has been considered. Deflection and time period corresponding to the first two modes of vibrations of a clamped plate have been computed for various values of aspect ratio, thermal constants, and taper constants.

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Authors and Affiliations

  1. Department of Mathematics, M.S. College, Saharanpur, U.P., India

    A. K. Gupta

  2. Department of Mathematics, Govt. College, Barwala, Pkl., Haryana, India

    Harvinder Kaur

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  1. A. K. Gupta
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  2. Harvinder Kaur
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Correspondence to A. K. Gupta.

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Gupta, A.K., Kaur, H. Study of the effect of thermal gradient on free vibration of clamped visco-elastic rectangular plates with linearly thickness variation in both directions. Meccanica 43, 449–458 (2008). https://doi.org/10.1007/s11012-008-9110-1

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  • DOI: https://doi.org/10.1007/s11012-008-9110-1

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