In nanoresonators, thermoelastic damping (TED) is a primary energy dissipation mechanism. As a result, when designing nanoresonators, it is critical to limit this type of dissipation. This paper investigates the nonlocal TED of circular single-layered graphene sheet (SLGS) nanoresonators in axisymmetric out-of-plane vibration utilizing the generalized dual-phase-lag thermoelasticity theory. The nonlocal elasticity and Gurtin–Murdoch surface elasticity theories are employed to capture the small-scale and surface energy effects, respectively. By incorporating these effects into the model, the non-classical equations of the coupled thermoelastic problem are first obtained and then an analytical expression is introduced to predict TED in circular nanoplates. Moreover, the results obtained herein are validated by those of the classical continuum theory which can be found in the open literature. The influences of the aspect ratio, surface elastic modulus, surface residual stress and nonlocal parameter on TED of circular SLGS nanoresonators are investigated using numerical data. The calculated results show the significance of surface and nonlocal effects in nanoplate TED continuum modeling.

在纳米谐振器中，热弹性阻尼 (TED) 是主要的能量耗散机制。因此，在设计纳米谐振器时，限制这种类型的耗散至关重要。本文利用广义双相滞后热弹性理论研究了圆形单层石墨烯片 (SLGS) 纳米谐振器在轴对称面外振动中的非局部 TED。非局部弹性和 Gurtin-Murdoch 表面弹性理论分别用于捕捉小尺度和表面能效应。通过将这些影响纳入模型，首先获得耦合热弹性问题的非经典方程，然后引入解析表达式来预测圆形纳米板中的 TED。而且，此处获得的结果得到了可在公开文献中找到的经典连续统理论的验证。利用数值数据研究了纵横比、表面弹性模量、表面残余应力和非局部参数对圆形SLGS纳米谐振器TED的影响。计算结果显示了纳米板 TED 连续介质模型中表面和非局部效应的重要性。