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The mathematical theory of vibratory angular tachometers

The mathematical theory of vibratory angular tachometers

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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.

References

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