Scale-Dependent Generalized Thermoelastic Damping in Vibrations of Small-Sized Rectangular Plate Resonators by Considering Three-Dimensional Heat Conduction

Author:

Ali Bashar M1ORCID,Batoo Khalid Mujasam2ORCID,Hussain Sajjad34ORCID,Hussain Worood5ORCID,Khazaal Waleed Mohammed6ORCID,Mohammed Bahira Abdulrazzaq7ORCID,Rasen Fadhil A.8ORCID,Alawady Ahmed Hussien Radie91011ORCID,Alsaalamy Ali Hashiem12ORCID

Affiliation:

1. Department of Construction Engineering and Project Management, Al-Noor University College, Nineveh, Iraq

2. College of Science, King Saud University, P. O. Box-2455, Riyadh 11451, Saudi Arabia

3. Hybrid Materials Center (HMC), Sejong University, Seoul 05006, Republic of Korea

4. Department of Nanotechnology and Advanced Materials Engineering, Sejong University, Seoul 05006, Republic of Korea

5. Medical Technical College, Al-Farahidi University, Baghdad, Iraq

6. Mechanical Engineering Department, Mazaya University College, Iraq

7. Al-Hadi University College, Baghdad 10011, Iraq

8. Department of Medical Engineering, Al-Esraa University College, Baghdad, Iraq

9. College of Technical Engineering, The Islamic University, Najaf, Iraq

10. College of Technical Engineering, The Islamic University of Al Diwaniyah, Al Diwaniyah, Iraq

11. College of Technical Engineering, The Islamic University of Babylon, Babylon, Iraq

12. College of Technical Engineering, Imam Ja’afar Al-Sadiq University, Al-Muthanna 66002, Iraq

Abstract

Given that thermoelastic damping (TED) is one of the main causes of energy dissipation in miniaturized structures, calculation of its exact amount is of particular importance in the design of such elements. Considering three-dimensional (3D) heat transfer along with the scale effect on both mechanical and thermal areas is one of the decisive factors in the more rigorous modeling of TED in small-sized resonators. This paper exploits the modified couple stress theory (MCST) and dual-phase-lag (DPL) heat conduction model to establish an analytical TED relation for rectangular micro/nanoplate resonators with 3D heat conduction. At the start, the non-Fourier heat equation corresponding to 3D DPL model is derived. Then, the solution of temperature distribution is determined by employing infinite trigonometric series. Moreover, the scale-dependent frequency of the system is presented in the context of MCST. Eventually, with the help of entropy generation (EG) method, an analytical TED expression considering 3D heat conduction is established. The precision of the presented solution is examined by comparing it with a simpler model available in the literature. By choosing two common types of boundary conditions, i.e. fully-clamped (CCCC) and fully-simply (SSSS) supported plates, the influence of various factors on TED changes is comprehensively investigated in simulation section. According to the outcomes, in plates with a lower ratio of length and width to thickness, the dimension considered for heat conduction model has a noticeable impact on the variations of TED.

Funder

Researchers Supporting Project

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Building and Construction,Civil and Structural Engineering

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