Vibration Analysis of Multistage Gear System Including Drive Mechanism Elements: 1 st Report, Proposal of Three Dimentional Vibration Model and Eigenvalue Analysis of Helical Gear System

The increasing demand for quiet gears has created an increasing demand for precise analysis of gear drive vibration. There has been a lot of research on gear vibration analysis; most of which was dealt with a single gear pair. This report shows a new method for building a vibration model for an actual gear drive system. Each gear has six degrees of freedom; three translational motions and three swing motions. Stiffness matrixes for each gear shaft and for tooth meshing were made and overlapped into a stiffness matrix for the total system. This enabled easy modelling of the complex gear drive systems; such as multistage gears and branched gears. The results are in good agreement with experimental results with respect to the major resonance frequencies and vibration modes.