Single-phase-lagging thermoelastic dissipation for cylindrical shell resonator model with initial stress field

Abstract

This study investigates thermoelastic damping in a tubular shell model including time delay of heat flux, which is a critical factor for high-performance, high-frequency vibrational structures. Firstly, the equation of motion is established, and the heat equation with finite speed of heat transfer is introduced including thermal moments. Subsequently, the complex eigenfrequency of a thin shell is obtained according to Donnell–Mushtari–Vlasov's assumption. In addition, the effect based on initial stress along the axial direction is further analyzed that can be caused by self-weight, etc. Moreover, the difference between the real part of the complex result and the traditional isothermal frequency provides insight into the accuracy improvement. Then the thermoelastic damping in the terms of a quality factor (Q) is obtained through approximation assumptions. This work demonstrates that incorporating multiple independent parameters allows for more precise predictions for cylindrical shells. Additionally, the investigation shows the potential of this approach to enhance the efficiency and performance in the design of resonator structures under extreme conditions.