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.

已证实热弹性阻尼（TED）是无可争议的能量耗散源之一，并限制微/纳米结构的品质因数（Q因子）。另一方面，明确了小尺寸结构传热过程的拟合描述应通过热传导的非傅立叶模型进行。本文致力于提供一个依赖于尺寸的分析框架，借助摩尔-吉布森-汤普森 (MGT) 广义热弹性理论来估计圆形横截面微/纳米环中的 TED 值。为了达到这个目的，根据MGT模型推导了热传导方程，得到了环内的脉动温度。然后，通过应用熵生成（EG）方法范围内的TED现有定义，呈现无限级数形式的解析关系以评估TED的量。在结果部分，首先，通过验证研究检查所开发配方的精度。然后提供图形数据来说明提取的无限级数的多少项产生收敛结果。最后阶段是进行全方位的参数分析，明确各种关键因素在TED变化中的作用。根据所得结果，MGT模型对TED的影响很大程度上依赖于环的振动模态数。