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<p>In nanoscale resonant systems, thermoelastic damping (TED) acts as a dominant source of dissipation, reducing quality factor and destabilizing frequency response. In this work, a new multiphysics model is established for circular cylindrical nanoshells in which scale sensitivity is consistently introduced into both the elastic and heat transfer fields. The shell kinematics are described through the Donnell-Mushtari-Vlasov (DMV) shell theory, whereas surface-induced stresses are incorporated by means of surface elasticity theory (SET). In parallel, heat transport is governed by the Moore-Gibson-Thompson (MGT) equation, enabling the inclusion of thermal relaxation and wave-like conduction effects that become important at small scales. The coupled field equations, comprising the motion equation, geometric compatibility relation, and generalized heat equation, are derived and reduced to a unified frequency equation. The study then applies the complex frequency (CF) technique to formulate a direct mathematical relationship for TED. The developed model is validated by recovering reduced-order results documented in earlier works. The analysis proceeds with parametric simulations aimed at identifying the impact of scale-sensitive modeling and additional crucial factors on TED. Numerical findings show a strong interaction between surface mechanics and non-Fourier heat transport, leading to damping trends that cannot be captured by conventional thermoelastic theories.</p>

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Scale-sensitive analysis of thermoelastic damping in shell-type nanoresonators incorporating Moore-Gibson-Thompson heat equation and surface stress size dependency

  • 期刊论文

  • 发表日期：

    2026年7月30日

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  • Ozodbek Nematov,
  • Ibrokhim Sapaev,
  • Sapaev Bayramdurdi,
  • Rustam Turakulov,
  • Sabir Widatalla,
  • Aseel Smerat,
  • Ripendeep Singh,
  • Jasgurpreet Singh Chohan

摘要

In nanoscale resonant systems, thermoelastic damping (TED) acts as a dominant source of dissipation, reducing quality factor and destabilizing frequency response. In this work, a new multiphysics model is established for circular cylindrical nanoshells in which scale sensitivity is consistently introduced into both the elastic and heat transfer fields. The shell kinematics are described through the Donnell-Mushtari-Vlasov (DMV) shell theory, whereas surface-induced stresses are incorporated by means of surface elasticity theory (SET). In parallel, heat transport is governed by the Moore-Gibson-Thompson (MGT) equation, enabling the inclusion of thermal relaxation and wave-like conduction effects that become important at small scales. The coupled field equations, comprising the motion equation, geometric compatibility relation, and generalized heat equation, are derived and reduced to a unified frequency equation. The study then applies the complex frequency (CF) technique to formulate a direct mathematical relationship for TED. The developed model is validated by recovering reduced-order results documented in earlier works. The analysis proceeds with parametric simulations aimed at identifying the impact of scale-sensitive modeling and additional crucial factors on TED. Numerical findings show a strong interaction between surface mechanics and non-Fourier heat transport, leading to damping trends that cannot be captured by conventional thermoelastic theories.