Non-Fourier thermoelastic damping in small-sized ring resonators with circular cross section according to Moore–Gibson–Thompson generalized thermoelasticity theory

It has been corroborated that thermoelastic damping (TED) is one of incontrovertible sources of energy dissipation and limiting the quality factor ( Q -factor) in micro/nanostructures. On the other hand, it has been clarified that the fitting description of heat transfer process in structures with such small dimensions should be carried out through non-Fourier models of heat conduction. This article strives for providing a size-dependent analytical framework for estimating the value of TED in circular cross-sectional micro/nanorings with the help of Moore–Gibson–Thompson (MGT) generalized thermoelasticity theory. To reach this objective, after deriving the equation of heat conduction according to MGT model, the fluctuation temperature in the ring is obtained. Then, by applying the existing definition of TED in the purview of entropy generation (EG) method, an analytical relationship in the form of infinite series is rendered to evaluate the amount of TED. In the results section, first, the precision of the developed formulation is examined by way of a validation study. Graphical data are then presented to illuminate how many terms of the extracted infinite series yield convergent results. The final stage is to conduct an all-embracing parametric analysis to make clear the role of various crucial factors in the alterations of TED. According to the obtained results, the impact of MGT model on TED sorely relies on the vibrational mode number of the ring.