Steady state response of a second order servo-mechanism with backlash and resilience in the gears between motor and load
Anderson, Norris O.
Luckett, Thomas W.
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This thesis is concerned with the steady state response to a step input of a non-linear s ervomechani sm having viscous friction and a load position unity feedback loop. A gear train with "backlash between resilient gear teeth was located between the motor and load. The physical equations describing the system are presented and adapted to a form for the Control Data Corporation l60^- digital computer. The computer program used in this analysis is presented along with its flow diagram and description of its operation. The results of this thesis are presented in several forms using the parameters of system damping coefficient, distribution of friction and inertia, backlash angle and coefficient of restitution. The results are applied to sample problems in illustration of their use for design and analysis. The authors wish to express their appreciation to Dr. George J. Thaler of the Department of Electrical Engineering, and to Dr. William Wainwright and Mr. Edward N. Ward of the Department of Mathematics for their assistance and encouragement in completing this work.
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