Research on the Effect of Geometric Parameters of Hemispherical Resonator on Thermoelastic Dissipation

doi:10.3901/JME.2024.01.075

Abstract

Abstract: Since the hemispherical resonator is core component of HRG, the processing quality of resonator directly determines performance parameters of the hemispherical resonator, which then affects the working accuracy and service life of HRG. Therefore, investigating the effect of geometric parameters of hemispherical resonator on thermoelastic dissipation is of great necessity. In this paper, the fused quartz hemispherical resonator with diameter of 30 mm is taken as the research object. By analyzing the form and mechanism of hemispherical resonator energy loss and the effect of the geometric parameters on its thermoelastic dissipation, the thermoelastic dissipation energy loss model of the hemispherical resonator is established. The effect of structural parameters, machining errors, and surface quality of the resonator on the energy loss is analyzed. What’s more, the sensitivity of different geometric parameter changes to energy loss is studied. The results show that the hemispherical shell and transition fillet parameters of the resonator have a significant impact on its thermoelastic dissipation and the effect of shell thickness nonuniformity on thermoelastic dissipation is higher than radius nonuniformity. Q_TED decreases about 61% when the shell radius increases from 10 mm to 15 mm and Q_TED reduces to 7.5% of its original value with the thickness of subsurface damage increasing from 0 to 100 μm. By summarizing what is mentioned above, references are provided for subsequent works, such as the error distribution design of the special machine tool for fused quartz hemispherical resonator and its high performance manufacturing research.

Key words: hemispherical resonator, geometric parameter, thermoelastic dissipation, high performance manufacturing

CLC Number:

TG156

MA Chuanzhen, LIU Henan, CHEN Mingjun, CHENG Jian, TIAN Jinchuan, ZHOU Zihan. Research on the Effect of Geometric Parameters of Hemispherical Resonator on Thermoelastic Dissipation[J]. Journal of Mechanical Engineering, 2024, 60(1): 75-84.

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