Analysis of thermoelastic damping in micro- and nanomechanical resonators based on dual-phase-lagging generalized thermoelasticity theory

作者：Guo, F L^*; Wang, G Q; Rogerson, G A

来源：International Journal of Engineering Science, 2012, 60: 59-65.

DOI：10.1016/j.ijengsci.2012.04.007

• Thermoelastic damping
• Dual-phase-lagging model
• Thermal relaxation time

In this work the thermoelastic damping of a micro-beam resonator is analyzed by the generalized thermoelasticity theory based on the dual-phase-lagging thermal conduction model. An explicit formula of thermoelastic damping has been derived. Influences of the beam height, aspect ratio and the ratio of temperature relaxation time to the heat flux relaxation time are examined. Numerical results show that the thermoelastic damping at nano-scales based on the non-Fourier theory may exceed the maximum values of Lifshitz-Roukes' model and Zener's approximation. Values of thermal relaxation constants and their ratio have strong influence on thermoelastic damping at nano-scales. This work may bring new insights to the exploration of thermoelastic damping in micro resonators on the submicrometer or nanometer scales.

• 出版日期2012-11
• 单位上海交通大学