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<p>In this study, we present a novel mathematical model for a thermally conducting, homogeneous, and isotropic Kelvin–Voigt-type circular microplate resonator, grounded in Kirchhoff's Love plate theory and incorporating nonlocal thermomass motion. The model leverages ramp-type heat conduction to thermally load the resonator, revealing significant impacts on temperature increase and drift velocity components. By developing and solving the governing equations within the Laplace transform domain, we analyze a ceramic microplate's response to thermal loads. Numerical results demonstrate the influence of thermoviscoelastic parameters and ramp-time heat on various physical fields, including deflection distributions, displacement, temperature, radial thermal moment, and radial stress. The findings highlight the pronounced effect of viscosity on these physical aspects, providing valuable insights into the time-dependent behavior of the resonator.</p>

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Thermoviscoelastic vibrations in circular microplate resonators induced by nonlocal thermomass motion

  • 期刊论文

  • 发表日期：

    2025年7月12日

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  • Gulshan Makkad,
  • Lalsingh Khalsa,
  • Vinod Varghese

摘要

In this study, we present a novel mathematical model for a thermally conducting, homogeneous, and isotropic Kelvin–Voigt-type circular microplate resonator, grounded in Kirchhoff's Love plate theory and incorporating nonlocal thermomass motion. The model leverages ramp-type heat conduction to thermally load the resonator, revealing significant impacts on temperature increase and drift velocity components. By developing and solving the governing equations within the Laplace transform domain, we analyze a ceramic microplate's response to thermal loads. Numerical results demonstrate the influence of thermoviscoelastic parameters and ramp-time heat on various physical fields, including deflection distributions, displacement, temperature, radial thermal moment, and radial stress. The findings highlight the pronounced effect of viscosity on these physical aspects, providing valuable insights into the time-dependent behavior of the resonator.