Size-dependent analysis of thermoelastic damping in small-scaled circular plates using the Moore-Gibson-Thompson thermoelasticity theory: frequency and energy approaches

被引:1
作者
Rodrigues, Paul [1 ]
Kulshreshta, Ankur [2 ]
Ranganathaswamy, M. K. [3 ]
Mann, Vikasdeep Singh [4 ]
Pant, Ruby [5 ]
Mohammed, Rajaa Jasim [6 ]
Kumar, Ambati Vijay [7 ]
Xalilillayevich, Mansurov Zuxriddin [8 ,9 ,10 ]
Ghazaly, Nouby M. [11 ,12 ]
Rodriguez-Benites, Carlos [13 ]
机构
[1] King Khalid Univ, Coll Comp Sci, Dept Comp Engn, Al Faraa, Saudi Arabia
[2] NIMS Univ Rajasthan, NIMS Inst Engn & Technol, Dept Mech & Aerosp Engn, Jaipur, India
[3] JAIN, Sch Engn & Technol, Dept Mech Engn, Bangalore, Karnataka, India
[4] Chandigarh Grp Coll Jhanjeri, Chandigarh Coll Engn, Dept Mech Engn, Mohali, Punjab, India
[5] Uttaranchal Univ, Uttaranchal Inst Technol, Dept Mech Engn, Dehra Dun 248007, India
[6] Al Nisour Univ Coll, Dept Management, Baghdad, Iraq
[7] Raghu Engn Coll, Dept Mech Engn, Visakhapatnam, India
[8] Tashkent Natl Res Univ, Inst Irrigat & Agr Mechanizat Engineers, Tashkent, Uzbekistan
[9] Tashkent Univ Architecture & Civil Engn, Tashkent 100194, Uzbekistan
[10] Western Caspian Univ, Baku, Azerbaijan
[11] Imam Jaafar Al Sadiq Univ, Tech Coll, Baghdad, Iraq
[12] South Valley Univ, Fac Engn, Mech Engn, Qena, Egypt
[13] Univ Ciencias & Artes Amer Latina, Ave La Molina 3755, Lima 15026, Peru
关键词
Thermoelastic damping; Circular micro/nanoplates; Modified couple stress theory; Moore-Gibson-Thompson thermoelasticity; Frequency and energy approaches; COUPLE STRESS THEORY; MICRO; ELASTICITY;
D O I
10.1007/s00161-025-01378-9
中图分类号
O414.1 [热力学];
学科分类号
摘要
Understanding and accurately quantifying thermoelastic damping (TED) in micro/nanoresonators is a major step in designing them to work well. Empirical and theoretical evidence suggests that classical elasticity theory (CET) and the Fourier heat equation break down when applied to structures with minuscule dimensions. This research presents an innovative framework to approximate TED value in miniature circular plates by leveraging both the frequency and energy-based approaches commonly applied in TED studies. The model incorporates the modified couple stress theory (MCST) and Moore-Gibson-Thompson (MGT) heat equation to enhance accuracy beyond the constraints of classical formulation at ultra-small scales. Non-classical constitutive relations and heat equation are firstly derived. Next, the MGT heat conduction equation is solved to determine the temperature distribution within the plate. In conclusion, TED is analytically formulated using two distinct approaches of frequency and energy. The agreement between these two approaches in yielding identical TED expressions reinforces the accuracy of the computations and the credibility of the developed model. The discussion in the numerical results section highlights the influence of essential parameters, especially the characteristic constants of the MCST and MGT model, on TED. The results indicate that while MCST reduces TED and the MGT model increases it, the classical framework, grounded in CET and the Fourier model, predicts a higher TED than the non-classical framework proposed in this study. This suggests that the reduction caused by MCST outweighs the increase due to the MGT model.
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页数:21
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