Thermoelastic damping analysis in micro-beam resonators considering nonlocal strain gradient based on dual-phase-lag model

Thermoelastic damping (TED), as a main source of intrinsic energy dissipation, is crucial to the design of the micro/nano-devices and-systems with higher quality factor ( Q-factor). However, the classical analy-sis model of TED fails in micro/nano-scale due to the influence of small-scale effect. The present article focuses on investigating the influence of scale effect on the TED of micro-beam resonators by consider-ing stress nonlocal and higher-order strain gradient effects. Firstly, the governing differential equations are formulated by employing the nonlocal strain gradient theory (NSG) in conjunction with the dual-phase-lag (DPL) heat conduction model. According to the assumption of vibration mode and the boundary conditions, the size-dependent Q-factor expression of TED is derived by the complex frequency method. Finally, the influences of various parameters on the TED of micro-beam resonators, such as nonlocal pa-rameter, length scale coefficient, slenderness ratio and material type, are discussed in detail. And then, the analysis results are compared with the TED of classical thermal-mechanical model. This article pro -vides a novel theoretical analysis model of the TED in micro/nano-meter scale field, which has practical significance in the design of high-efficiency devices and systems. (c) 2021 Elsevier Ltd. All rights reserved.

Automated summary

This article investigates the scale effect of thermoelastic damping (TED) in micro-beam resonators, and the influences of various parameters on TED. A novel theoretical analysis model is proposed, which is significant for designing high-efficiency devices and systems in the micro/nano-meter scale field.