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Frequency split elimination method for a solid-state vibratory angular rate gyro with an imperfect axisymmetric-shell

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This study presents a method to eliminate frequency splitting in solid-state vibratory gyroscopes. The approach improves the performance of axisymmetric shell resonators, enabling accurate angular motion sensing.

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Area of Science:

  • Mechanical Engineering
  • Physics
  • Materials Science

Background:

  • Solid-state vibratory gyroscopes rely on resonators for angular motion sensing.
  • Frequency splitting in axisymmetric-shell resonators, caused by manufacturing defects, degrades gyroscopic effect and sensing accuracy.

Purpose of the Study:

  • To investigate an axisymmetric multi-curved surface shell resonator.
  • To propose and validate an approach for eliminating frequency splits in such resonators.

Main Methods:

  • Developed a simplified model by equating a stochastically imperfect shell to a perfect shell with an imperfect mass point.
  • Utilized Rayleigh's energy method for theoretical analysis.
  • Employed finite element modeling to demonstrate the effectiveness of the proposed elimination approach.

Main Results:

  • The proposed approach successfully eliminated frequency splitting in real-world resonators.
  • The processed resonators exhibited good performance after the frequency split elimination.
  • The method is applicable to various solid-state vibratory gyro resonators with axisymmetric shell structures.

Conclusions:

  • The simplified modeling and elimination approach effectively address frequency splitting in axisymmetric shell resonators.
  • This technique enhances the reliability and accuracy of solid-state vibratory gyroscopes.
  • The study provides practical insights into error analysis and model deviation for real-world applications.