Abstract
In this study, an exact vibration model for helical gear pairs is developed assuming no spacing error and no shaft run-out, in consideration of the nonlinear tooth separation phenomenon. In this model, a simple modified stiffness function, including the effects of tooth numbers and addendum modification coefficients, is proposed for a helical involute tooth pair. The validity of this new stiffness function is verified by comparing its results with those of theoretical calculation and experiment. The rotational vibration of helical gear pairs with comparative narrow face width is simulated clearly on a 16-bit personal computer in Fortran by using the finite difference method, The total contact ratio including transverse and overlap contact ratios, is changed in the range of 1 l el 3. As a result, the simulated vibration time waveforms and their frequency characteristics agreed precisely with Umezawa's calculation and experiment. The simulator is also used to clarify the effect of shaft deviation upon the vibration of helical gears.
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