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基于综合性能的半球谐振器结构参数多目标优化

Comprehensive Performance-Oriented Multi-Objective Optimization of Hemispherical Resonator Structural Parameters.

作者信息

Liu Xiaohao, Jin Xin, Li Chaojiang, Ma Yumeng, Xu Deshan, Guo Simin

机构信息

School of Mechanical Engineering, Beijing Institute of Technology, Beijing 100081, China.

出版信息

Micromachines (Basel). 2025 Feb 28;16(3):287. doi: 10.3390/mi16030287.

DOI:10.3390/mi16030287
PMID:40141898
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11945359/
Abstract

The hemispherical resonant gyroscope is the highest-precision solid-state vibration gyroscope, widely applied in aviation, aerospace, marine, and other navigation fields. As the core component of the hemispherical resonant gyroscope, the design of its structural parameters directly influences the key performance parameters of the resonator-specifically, the thermoelastic damping quality factor and the minimum frequency difference from interference modes-affecting the operational accuracy and lifespan of the gyroscope. However, existing research, both domestic and international, has not clarified the effect of structural parameters on performance laws. Thus, studying the mapping relationship between the resonator's performance and structural parameters is essential for optimization. In this study, a hemispherical resonator with a midplane radius of 10 mm serves as the research object. Based on a high-precision finite element simulation model of an ideal hemispherical resonator, the mechanism of thermoelastic damping and the influence of structural parameters on performance are analyzed. A PSO-BP neural network mapping model is then developed to relate the resonator's structural and performance parameters. Subsequently, the NSGA-II algorithm is applied to perform multi-objective mapping of these parameters, achieving an optimized resonator with a 4.61% increase in the minimum frequency difference from interference modes and a substantial improvement in thermoelastic damping of approximately 70.41%. The comprehensive, performance-oriented multi-objective optimization method for the structural parameters of hemispherical resonators proposed in this paper offers a cost-effective approach to high-performance design and optimization, and it can also be applied to other manufacturing processes under specific conditions.

摘要

半球谐振陀螺仪是精度最高的固态振动陀螺仪，广泛应用于航空、航天、航海等导航领域。作为半球谐振陀螺仪的核心部件，其结构参数的设计直接影响谐振器的关键性能参数，具体而言，影响热弹性阻尼品质因数以及与干扰模式的最小频率差，进而影响陀螺仪的工作精度和寿命。然而，国内外现有研究尚未阐明结构参数对性能规律的影响。因此，研究谐振器性能与结构参数之间的映射关系对于优化至关重要。在本研究中，以中平面半径为10mm的半球谐振器作为研究对象。基于理想半球谐振器的高精度有限元仿真模型，分析了热弹性阻尼机理以及结构参数对性能的影响。然后建立了PSO-BP神经网络映射模型，以关联谐振器的结构和性能参数。随后，应用NSGA-II算法对这些参数进行多目标映射，得到了优化后的谐振器，其与干扰模式的最小频率差提高了4.61%，热弹性阻尼大幅提高了约70.41%。本文提出的面向性能的半球谐振器结构参数综合多目标优化方法，为高性能设计和优化提供了一种经济有效的途径，并且在特定条件下也可应用于其他制造工艺。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5385/11945359/3d377e574e57/micromachines-16-00287-g020.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5385/11945359/23a1b931132d/micromachines-16-00287-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5385/11945359/0268d1cd3317/micromachines-16-00287-g011.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5385/11945359/e0616319650e/micromachines-16-00287-g016.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5385/11945359/c46111299da6/micromachines-16-00287-g017.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5385/11945359/0869a19589cd/micromachines-16-00287-g018.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/5385/11945359/3d377e574e57/micromachines-16-00287-g020.jpg

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本文引用的文献

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Micromachines (Basel). 2022 Oct 5;13(10):1676. doi: 10.3390/mi13101676.