The mathematical theory of vibratory angular tachometers

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The mathematical theory of vibratory angular tachometers

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© The Institution of Electrical Engineers
Published

A mathematical theory for a vibratory rate-of-turn measuring device is developed in order to bring out the more important characteristics.By using properties of Mathieu's equation it is shown how performance depends on the parameters of the system, particularly the resonant frequency and damping factor of the torsion mechanism. These results are compared with those obtained from the more simplified theory.

Inspec keywords: aircraft; velocity measurement; measurement by electrical methods

Subjects: Measurement equipment and instrumentation systems; Nonelectric variables measurement methods; Velocity, acceleration and rotation measurement; Velocity, acceleration and rotation measurement; Display, recording and indicating instruments

References

    1. 1)
      • F.W. Meredith . Control of Equilibrium in the Flying Insect. Nature
    2. 2)
      • J.B. Chatterton . Some General Comparisons between the Vibratory and Conventional Rate Gyro. Journal of Aeronautical Science
    3. 3)
      • R.E. Barnaby , J.B. Chatterton , F.H. Gerring . General Theory and Operating Characteristics of the Gyrotron Angular Rate Tachometer. Aeronautical Engineering Review
    4. 4)
      • J. Lyman . A New Space Rate Sensing Instrument. Aeronautical Engineering Review
    5. 5)
      • N.W. McLachlan . (1951) , Theory and Application of Mathieu Functions.
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