基于不确定性分析的半球陀螺谐振子高性能制造

doi:10.3901/JME.2024.21.254

摘要/Abstract

摘要： 半球谐振陀螺是目前精度最高的陀螺之一，其核心部件半球谐振子的制造精度直接决定陀螺的服役性能。受磨抛工艺加工能力的限制，高性能谐振子无法一次加工完成，必须基于性能偏差测试结果进行局部修调。修调工艺的不确定性很大程度上影响了谐振子的成品率，而一味地提升修调精度要求会导致制造成本极高，代价巨大。针对上述问题，将高性能制造理念和方法应用于高性能半球谐振子的制造当中，分析了不同位置修调量不确定性对谐振子核心指标频率裂解的影响。敏度分析结果表明唇缘低频轴及其正交方向对工艺不确定性要求最高。制造公差分析指出上述修调方法只有向着低去除质量和高工艺稳定性的方向发展才能实现高性能半球谐振子的制造。而球面四点正交修调具有敏度低、公差宽的特点，可以降低性能对制造工艺的最小去除质量和不确定性的要求。基于上述结果，提出了考虑修调工艺不确定性的球面修调方法，并通过谐振子频率裂解修调过程的数值模拟证明了上述修调方法的有效性。本研究对提高半球陀螺谐振子的修调效率，针对确定性能指标需求提出最适宜的修调加工要求具有重要意义。

关键词: 半球谐振子, 高性能制造, 敏度分析, 制造公差分析, 不确定性分析, 性能修调

Abstract: The hemispherical resonator gyroscope (HRG) represents one of the most precise gyroscopes available in present times. The manufacturing accuracy of its core component, the hemispherical resonator (HR), directly governs the operational performance of the gyroscope. Due to limitations inherent in the grinding and polishing processing, the production of high performance resonators cannot be accomplished in a single manufacturing step. Instead, localized tuning becomes necessary based on the results of performance deviation tests. The uncertainties associated with the tuning process significantly impact the yield of resonators. Imposing excessively stringent precision requirements on the tuning process would result in exorbitant manufacturing costs and substantial expenses. This study adopts the methodology of high performance manufacturing in the fabrication of hemispherical resonators with superior capabilities. It investigates the influence of uncertainty in the tuning process on the frequency splitting of the resonator’s core parameter. The sensitivity analysis demonstrates that the low-frequency axis and its orthogonal direction on the rim exhibit the highest demands for process uncertainty. Tolerance analysis reveals that the aforementioned tuning methods can solely achieve the production of high performance hemispherical resonators through reduction in mass removal and enhancement of processing stability. Conversely, employing a four-position orthogonal tuning on the surface of the hemisphere demonstrates low sensitivity and wide tolerances, thereby diminishing the requirements for minimal mass removal and uncertainty in performance arising from the manufacturing processes. Building upon these findings, a spherical adjustment method is proposed that takes into account the uncertainties inherent in the process, and its efficacy is validated through numerical simulations of the frequency splitting adjustment processing. This research holds significant importance in enhancing the efficiency of hemispherical resonator tuning and identifying the most appropriate requirements for tuning processes based on performance specifications.

Key words: hemispherical resonator, high performance manufacturing, sensitivity analysis, tolerance analysis, uncertainty analysis, performance tuning

中图分类号:

TH161

孟磊, 周平, 闫英, 郭东明. 基于不确定性分析的半球陀螺谐振子高性能制造[J]. 机械工程学报, 2024, 60(21): 254-262.

MENG Lei, ZHOU Ping, YAN Ying, GUO Dongming. High Performance Manufacturing of Hemispherical Resonators Based on Uncertainty Analysis[J]. Journal of Mechanical Engineering, 2024, 60(21): 254-262.

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