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Analysis of mathematical model for micromechanical vibratory wheel gyroscope

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Abstract

By the sketch of structure of MVWG, the working laws of this kind of gyroscope were explained. To the aid of Euler’s Dynamics Equation, a mathematical model of the gyroscope was constructed, and then by the basic working laws of MVWG the model was simplified. Under the conditions of the three axial direction rotations and general rotation, the mathematical model was resolved. And finally by the solutions, the working laws of the gyroscope, the working disparity among all sorts of gyrations and the influences from the gyrations in the axial directions were analysed.

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References

  1. [1]

    LUO Yue-sheng. Mathematical model of micromechanical vibratory wheel gyroscope [J]. Journal of Harbin Engineering University, 2002,23(3):16–19 (in Chinese).

  2. [2]

    LUO Yue-sheng. Mathematical model of frme vibratory wheel micromedchanical gyroscope[J]. Journal of Harbin Engineering University, 2002,23(6):117–120 (in Chinese).

  3. [3]

    LUO Yue-sheng. Mathematical model of lateral comb drive micromechanical gyroscope[J]. Journal of Harbin Engineering University, 2003,24(1):49–53 (in Chinese).

  4. [4]

    TAN Zhen-fan, LUO Yue-sheng, LI Kang. Mathematical model and wording Analysis of micromechanical vibratory wheel gyroscope[J]. Journal of Harbin Engineering University, 2002,23(2):33–36 (in Chinese).

  5. [5]

    WANG Shou-rong. Theory and applications of microme-chanical silicon inertia components. Nanjing: Press of South-East University, 2000 (in Chinese).

  6. [6]

    DING Heng-gao. Military-civil technology to the beginning of 21st century technology of micrometer/nanometer [J]. Journal of China Inertia Technology, 1995,3(2):1–5 (in Chinese).

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Author information

Correspondence to Yue-sheng Luo.

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Luo, Y., Fan, C. & Tan, Z. Analysis of mathematical model for micromechanical vibratory wheel gyroscope. JMSA 2, 53–60 (2003). https://doi.org/10.1007/BF02935577

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Key words

  • micromechanical silicon gyroscopes
  • mathematical model
  • Euler’s dynamics equation

CLC number

  • V241.5

Document code

  • A