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A random profile error distribution is given for each tooth; then teeth errors are combined in order to span all possible reciprocal teeth contacts.
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A method about how to synthesize the total mesh stiffness of the internal gear pairs in multi-tooth region together with the ring deformation and the tooth errors is proposed.
In addition, the effects of tooth profile modification on the distributions of vibration amplitudes and the probability of tooth contact loss with different manufacturing tooth profile errors are studied.
Tooth profile errors of the end-toothed disc describe the tooth profile deviations which mainly contain tooth trace error and tooth profile half-angle error while accumulative pitch error describes the tooth position deviation of the end-toothed disc.
Parametric excitations due to time-varying meshing stiffness, the tooth profile errors (obtained by a metrological analysis), the backlash effects between meshing teeth, the lubricant squeeze and the possibility of tooth contact on both lines of action were also included.
Kubo and Kiyono [2] investigated the effects of different kinds of tooth form errors on vibration of spur and helical gear system, and found that convex tooth form error leads to minimum vibration, but concave and waving tooth form error result in relatively stronger vibration.
One possible explanation for this is in small tooth profile errors.
Through analysis of the experimental data, it is suggested that further tooth profiling errors may explain the discrepancies.
Meanwhile the tooth profile errors and axial errors have been calculated by means of numerical analysis in this paper.
The results suggested that tooth spacing errors have a direct impact on the root stress and significantly alter the baseline dynamic response.
The honed tooth surface can be approximated to the given tooth surface by adjusting the polynomial coefficients through least squares estimation with the aim of minimization of the tooth surface errors based on sensitivity matrix.
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