A new method to analyze or predict the state of machine vibration owing to gear meshing is introduced. Most of the results of research on gear vibration published until now dealt with only very simple vibrational systems of a pair of gears. But for common gearing or machines with gears, the vibrational system is much more complicated, and direct application of these results is impossible. This report shows one new method to analyze such a complex system: that is a method to reduce a forced vibrational system with parametric exciting terms to a quasi-equivalent forced vibrational system without parametric exciting term. Using this method, the vibrational exciting force due to gear manufacturing and alignment error and to periodical change of tooth mesh rigidity is integrated into one total vibrational exciting force Ev which acts at tooth meshing position. Using Ev, the machine vibration owing to gear meshing can be analyzed by conventional methods of vibration analysis for systems without parametric excitation.
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KUBO et al. (1986) studied this question.