Effects of Gyroscopic Moment on the Dynamics and Vibrations of a High- Speed Double- Helical Gear Pair

In this research a linear time- invariant lumped mass model, LTI, in three-dimensional space for a double- helical gear pair is developed and effects of gyroscopic moment on the dynamics and vibrations are studied. In this model, each member has six degrees of freedom and both of the mesh stiffness and bearing stiffness are undertaken. The dynamic response due to transmission errors excitations is calculated by using the modal summation technique. The results of this research show that, by taking the gyroscopic effects in double- helical gear pair, most of the natural frequencies are reduced. In addition, the gyroscopic moment have an important role on the dynamic response of a high- speed double- helical gear pair. In order to verify the equations and solution methodology, the obtained dynamic response from a pair of double- helical gear pair is compared with the empirical results of other researches.