FREQUENCY RESPONSE INVESTIGATION OF A SECOND ORDER SERVO WITH BACKLASH

Abstract

The frequency response was determined for a second order servomechanism with backlash in the system. Frequency response for sinusoidal inputs were obtained by digital computer solutions of the equations of motion of the system which had inertia and viscous friction on both sides of the gear train. System parameters included input amplitude, magnitude of backlash, damping ratio and resilience of the gear teeth. The Control Data Corporation 1604 Computer was utilized and Fortran programming was employed. Results show the effects of the amount of backlash and the gear material resilience on the output to input ratios. The existance of sub-harmonic resonance was found with large values of backlash.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1962
Accession Number
AD0481225

Entities

People

  • Robert J. Graham
  • Theodore L. Lloyd Jr.

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Air Platforms
  • Engineered Resilient Systems

DTIC Thesaurus Topics

  • Computer Programming
  • Computer Programs
  • Computers
  • Control Systems
  • Differential Equations
  • Digital Computers
  • Electrical Engineering
  • Engineering
  • Equations
  • Equations Of Motion
  • Frequency
  • Frequency Response
  • Gear Teeth
  • Linear Systems
  • Resonance
  • Resonant Frequency
  • Waves

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Computer Science.
  • Tribology (the study of the boundary interaction between sliding surfaces, lubrication, wear and friction).