Thermoelastic damping effect on in-extensional vibration of rotating thin ring

Thermoelastic damping in thin microrings with two-dimensional heat conduction

“…Substituting Eqs. (36) and (37) Table l lists the comparisons of the temperature fields obtained by the one-dimensional and two-dimensional approaches respectively.…”

“…In 2010, Kim et al [36] developed an analytical model for the thermoelastic damping in a rotating thin ring with in-plane vibration. They investigated the effect of rotating speed on the TED, and explored the relationship between ring sizes, mode numbers, ambient temperatures and quality factor.…”

“…However, all the above-mentioned papers [11,35,36] are based on the one-dimensional approaches proposed by Zener [1,2] and improved by LR [3]. In Zener's and LR's work, only the heat conduction along the thickness of the beam was considered.…”

“…In Zener's and LR's work, only the heat conduction along the thickness of the beam was considered. In the previous works [11,35,36], only the heat conduction along the radial thickness of the microring was considered. This paper presents a new analytical model for thermoelastic damping in microrings with in-plane vibration.…”

“…The z-axis in the local coordinate system is the same as the direction of the Z-axis in the global polar coordinate system. The microrings are capable of both in-plane and out-of-plane flexible vibrations [36,38]. But the microring in micro-gyroscopes is usually operated at the in-plane flexural-mode.…”