Abstract In this paper, the effect of surfaces on the thermoelastic damping (TED) of nanoresonators is studied. In addition to the classical surface elasticity, the concept of surface heat capacity is introduced to capture the size effects of both mechanical and thermal properties on the thermoelastic damping of small scale structures. The value of the newly introduced parameter, surface heat capacity, is determined by using a novel method based on molecular dynamic simulations. The coupled nonlinear governing equations for fixed-fixed nanoresonators are derived by considering mid-plane stretching, surface elasticity, and surface heat capacity. These coupled equations are then solved using a finite element framework and have been used to study thermoelastic damping in free vibration of a beam, beam under constant loading, and beam under electrostatic loading.

中文翻译：

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比热和弹性模量对几何非线性梁热弹性阻尼的尺寸效应

摘要 本文研究了表面对纳米谐振器热弹性阻尼（TED）的影响。除了经典的表面弹性之外，还引入了表面热容的概念来捕捉机械和热性能对小尺度结构的热弹性阻尼的尺寸影响。新引入的参数表面热容量的值是通过使用基于分子动力学模拟的新方法确定的。通过考虑中平面拉伸、表面弹性和表面热容量，推导出固定固定纳米谐振器的耦合非线性控制方程。然后使用有限元框架求解这些耦合方程，并已用于研究梁、梁在恒定载荷下的自由振动中的热弹性阻尼，