Thermoelastic dissipation of rotating imperfect micro-ring model

Abstract

Present work considers the investigation of rotating micro-ring gyro resonator model with arbitrary imperfect point masses. Equation of motion of the ring is used to obtain the natural frequency with the effect of thermoelastic damping (TED) induced by the high-frequency vibration. In this regard, the temperature profile through the radial thickness of the model is obtained using the one dimensional heat-conduction equation. And then, the inextensional assumption of the model is employed in terms of displacement fields based on harmonic vibration. In order to express the lower and higher modes of the imperfect model, a sum of density function with respect to angular position is adopted. Also, the rotating speed is discussed including unbalance of the ring and the split of the two modes defined as forward and backward directions. Finally, numerical data for TED effect are obtained as Quality factors (Q-factors), and compared with previous results to verify present work. Moreover, parametric studies are presented for the rotating imperfect micro-ring model.