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

• DOI: 10.1142/s0219455424502225
• Publication Date: 2023-11-23T09:17:01Z
• Authors: Bashar M Ali; Khalid Mujasam Batoo; Sajjad Hussain; Worood Hussain; Waleed Mohammed K...; Bahira Abdulrazza...; Fadhil A. Rasen; Ahmed Hussien Rad...; Ali Hashiem Alsaa...
• Keywords: Thermoelastic damping; Heat equation

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