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Generalized viscothermoelasticity theory of dual-phase-lagging model for damping analysis in circular micro-plate resonators

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Abstract

Analysis and numerical results are presented for the thermoelastic dissipation of a homogeneous isotropic, thermally conducting, Kelvin–Voigt type circular micro-plate based on Kirchhoff’s Love plate theory utilizing generalized viscothermoelasticity theory of dual-phase-lagging model. The analytical expressions for thermoelastic damping of vibration and frequency shift are obtained for generalized dual-phase-lagging model and coupled viscothermoelastic plates. The scaled thermoelastic damping has been illustrated in case of circular plate and axisymmetric circular plate for fixed aspect ratio for clamped and simply supported boundary conditions. It is observed that the damping of vibrations significantly depend on time delay and mechanical relaxation times in addition to thermo-mechanical coupling in circular plate under resonance conditions and plate dimensions.

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Authors and Affiliations

  1. Dr. B R Ambedkar National Institute of Technology, Jalandhar, 144011, India

    D. Grover & R. K. Seth

  2. DAV University, Jalandhar, India

    D. Grover & R. K. Seth

Authors
  1. D. Grover
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  2. R. K. Seth
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Correspondence to D. Grover.

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Grover, D., Seth, R.K. Generalized viscothermoelasticity theory of dual-phase-lagging model for damping analysis in circular micro-plate resonators. Mech Time-Depend Mater 23, 119–132 (2019). https://doi.org/10.1007/s11043-018-9388-x

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  • DOI: https://doi.org/10.1007/s11043-018-9388-x

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