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Methods for Comprehensive Calibration of a Low-Frequency Angular Acceleration Rotary Table.

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Total harmonic distortion (THD) calibrates sinusoidal motion for rotary tables, improving accuracy beyond traditional metrics. This method enhances evaluation using combined sensors or fiber optical gyroscopes.

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Area of Science:

  • Mechanical Engineering
  • Metrology
  • Control Systems

Background:

  • Traditional evaluation of rotary tables relies on angular acceleration amplitude and frequency error, which are insufficient for comprehensive sinusoidal motion calibration.
  • Low-frequency angular acceleration rotary tables (LFAART) require precise calibration for accurate sinusoidal motion.
  • Existing methods may not fully capture the nuances of rotary table performance.

Purpose of the Study:

  • To introduce Total Harmonic Distortion (THD) as a key index for calibrating the sinusoidal motion of LFAART.
  • To develop and validate calculation methods for THD using novel measurement schemes.
  • To enhance the evaluation of rotary table performance by incorporating THD.

Main Methods:

  • Calculation of THD from two distinct measurement schemes: a novel combination of an optical shaft encoder and a laser triangulation sensor, and a standard scheme utilizing a fiber optical gyroscope (FOG).
  • Implementation of an improved reversing moments recognition method to increase the accuracy of determining angular motion amplitude from optical shaft encoder data.
  • Conducting field experiments to compare THD values obtained from the different measurement schemes.

Main Results:

  • The THD index provides a more comprehensive evaluation of sinusoidal motion compared to angular acceleration amplitude and frequency error.
  • The combined optical shaft encoder and laser triangulation sensor scheme yields accurate THD values.
  • Comparison with the FOG scheme showed a difference within 0.11% in THD values when the FOG signal-to-noise ratio exceeded 7.7 dB.
  • The improved reversing moments recognition method enhanced the accuracy of angular motion amplitude calculation.

Conclusions:

  • Total Harmonic Distortion (THD) is a viable and accurate index for calibrating the sinusoidal motion of LFAART.
  • The proposed measurement schemes, particularly the combined sensor approach, are effective for THD calculation.
  • The accuracy of the THD method is validated by experimental results, demonstrating its feasibility for rotary table calibration.