A digital simulation model is developed to represent a lightly loaded geared torsional system consisting of a drive unit, spur gear pair and load connected by flexible shafts. A clearance model called an Impact Pair  is used to represent the gear pair and includes the effects of backlash, time-varying stiffness and damping of the gear teeth and tooth-form error. Experimentally determined frequency spectra of the torsional oscillations of a gear-driven shaft have been plotted and reported on earlier . Similar frequency plots are obtained from the simulation study, and data from these plots are compared with the experimental results for a variety of parameter changes including shaft speed, backlash and load. Results indicate that the simulation model portrays reasonably well the torsional behavior of the output shaft.
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Digital Simulation of Impact Phenomenon in Spur Gear Systems
R. C. Azar,
R. C. Azar
Mechanical Engineering, Western New England College, Springfield, Mass.
F. R. E. Crossley
Mechanical Engineering, University of Massachusetts, Amherst, Mass.
Azar, R. C., and Crossley, F. R. E. (August 1, 1977). "Digital Simulation of Impact Phenomenon in Spur Gear Systems." ASME. J. Eng. Ind. August 1977; 99(3): 792–798. https://doi.org/10.1115/1.3439315
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