Torsional vibration of a back-to-back gearbox rig Part 2: Time domain modelling and verification

Abstract

Abstract

The torsional vibration of a back-to-back gearbox system has been simulated in the time domain, using time domain receptance theory. Receptance analysis in the time domain is an extension of the frequency domain method and allows the benefits of a systems approach for modelling complicated systems. Meshing spur gears represent a complicated dynamic system. The excitation from the variation in gear mesh stiffness has been considered in the present model. A gear mesh kinematic simulation was developed to simulate the contact pattern and mesh stiffness for a spur gear pair with a contact ratio of less than 2.0. The time domain receptance model was verified using a simulated white noise input to generate frequency response functions up to 1600 Hz. The simulated torsional natural frequencies were compared with the experimentally measured results in Part 1 [1]. After the adjustment of model parameters, the first eight torsional natural frequencies were accurately matched by the predictions of the time domain model. The simulated frequency response functions of the time domain model accurately matched the frequency response functions from the frequency domain receptance model presented in Part 1 [1].