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<p>Studies have substantiated that extremely small structural elements exhibit thermomechanical characteristics tied to their size. In addition, experimental tests and analytical simulations highlight thermoelastic damping (TED) as a fundamental reason for energy loss in small-scale vibrating structures. The paper at hand strives to propose an innovative size-sensitive formulation for TED prediction in rotating rectangular cross-sectional nanorings. Size dependence is embedded in the structural and thermal fields by applying the nonlocal theory (NT) and the Moore–Gibson–Thompson (MGT) heat conduction model, respectively. By means of the NT, the equation of motion for the rotating ring is formulated, reflecting the nonlocal influences. Furthermore, solution of the MGT-based coupled heat equation yields the complete temperature profile across the ring structure. Implementation of the solved temperature field in the motion equation produces the real and imaginary components of the ring’s frequency. Applying the frequency-definition method ultimately results in an explicit formulation for TED in miniature rotating ring systems. The study allocates a comprehensive parametric investigation to examine correlations between TED and influential parameters, with emphasis on the characteristic scales incorporated in the NT and MGT model. Computational results confirm that nanoscale behavior modeled through the developed size-sensitive framework substantially deviates from classical theoretical predictions.</p>

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Size-sensitive modeling of thermoelastic damping in rotating nanoscale rings with rectangular cross section using nonlocal theory and the Moore–Gibson–Thompson heat equation

  • 期刊论文

  • 发表日期：

    2025年10月30日

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  • Suleiman Ibrahim Mohammad,
  • Hamza Abu Owida,
  • Sabir Widatalla,
  • H. Adarsha,
  • Asokan Vasudevan,
  • Krishan Kumar Sah,
  • A. K. Kareem,
  • Ali Khelef,
  • I. B. Sapaev,
  • Nurbike Zaurbekova

摘要

Studies have substantiated that extremely small structural elements exhibit thermomechanical characteristics tied to their size. In addition, experimental tests and analytical simulations highlight thermoelastic damping (TED) as a fundamental reason for energy loss in small-scale vibrating structures. The paper at hand strives to propose an innovative size-sensitive formulation for TED prediction in rotating rectangular cross-sectional nanorings. Size dependence is embedded in the structural and thermal fields by applying the nonlocal theory (NT) and the Moore–Gibson–Thompson (MGT) heat conduction model, respectively. By means of the NT, the equation of motion for the rotating ring is formulated, reflecting the nonlocal influences. Furthermore, solution of the MGT-based coupled heat equation yields the complete temperature profile across the ring structure. Implementation of the solved temperature field in the motion equation produces the real and imaginary components of the ring’s frequency. Applying the frequency-definition method ultimately results in an explicit formulation for TED in miniature rotating ring systems. The study allocates a comprehensive parametric investigation to examine correlations between TED and influential parameters, with emphasis on the characteristic scales incorporated in the NT and MGT model. Computational results confirm that nanoscale behavior modeled through the developed size-sensitive framework substantially deviates from classical theoretical predictions.