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

Mohammad S.I. Owida H.A. Widatalla S. Adarsha H. Vasudevan A. Sah K.K. Kareem A.K. Khelef A. Sapaev I.B. Zaurbekova N.
November 2025 Springer Science and Business Media Deutschland GmbH

Archive of Applied Mechanics
2025 #95 Issue 11

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.

Frequency-definition method , Moore–Gibson–Thompson model , Nonlocal effect , Rotating nanorings , Thermoelastic damping

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Electronic Marketing and Social Media, Economic and Administrative Sciences, Zarqa University, Zarqa, Jordan
Research Follower, INTI International University, Negeri Sembilan, Nilai, 71800, Malaysia
Medical Engineering Department, Faculty of Engineering, Al-Ahliyya Amman University, Amman, 19328, Jordan
Department of Mathematics, Faculty of Science, University of Tabuk, P.O.Box741, Tabuk, 71491, Saudi Arabia
Department of Mechanical Engineering, School of Engineering and Technology, JAIN (Deemed to Be University), Karnataka, Bangalore, India
Faculty of Business and Communications, INTI International University, Negeri Sembilan, Nilai, 71800, Malaysia
Centre for Research Impact & Outcome, Chitkara University Institute of Engineering and Technology, Chitkara University, Punjab, Rajpura, 140401, India
Biomedical Engineering Department, College of Engineering and Technologies, Al-Mustaqbal University, Babil, Hillah, 51001, Iraq
Radiology Techniques Department, College of Medical Technology, The Islamic University, Najaf, Iraq
Radiology Techniques Department, College of Medical Technology, College of Technical Engineering, The Islamic University of Al Diwaniyah, Al Diwaniyah, Iraq
Radiology Techniques Department, College of Medical Technology, College of Technical Engineering, The Islamic University of Babylon, Babylon, Iraq
Tashkent Institute of Irrigation and Agricultural Mechanization Engineers, National Research University, Tashkent, Uzbekistan
Scientific Researcher, University of Tashkent for Applied Sciences, Str. Gavhar 1, Tashkent, 100149, Uzbekistan
Scientific Researcher, Western Caspian University, Baku, Azerbaijan
Department of Physics, Kazakh National Women’s Pedagogical University, Almaty, Kazakhstan

Electronic Marketing and Social Media
Research Follower
Medical Engineering Department
Department of Mathematics
Department of Mechanical Engineering
Faculty of Business and Communications
Centre for Research Impact & Outcome
Biomedical Engineering Department
Radiology Techniques Department
Radiology Techniques Department
Radiology Techniques Department
Tashkent Institute of Irrigation and Agricultural Mechanization Engineers
Scientific Researcher
Scientific Researcher
Department of Physics

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