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The vibration of the helical gear system is generated by three kinds of excitation. The first cause is a displacement excitation due to the tooth surface error. The second is a parametric excitation by the periodical change of the tooth mesh stiffness. The third is a moving load on the tooth surface during the progress of mesh of the teeth. In mesh of a pair of helical gears, the composite load of the distributed load along a contact line moves its operating location from one end of face width to the other end during the process of mesh progress. This moving load causes fluctuation of bearing load that excites the housing. Therefore, it is important to treat gear mesh excitation as moving load problem. For this purpose, a tooth mesh model, in which three different types of excitations above are incorporated, is proposed. In this model, a pair of gear tooth is represented by the multiple springs and the moving load can be taken into account by the multiple mesh excitation forces that have the phase differences from each other. This model is applied to the vibration analysis of a single stage gearbox. The analytical and experimental results show that this method is accurate and effective enough for practical use.

Vibration Analysis of the Helical Gear System Using the Integrated Excitation Model