Three-Dimensional Steady-State and Transient Response Modelling of Geared Systems Under Stick-Slip Motion Generated Excitations

Abstract This paper presents a general procedure for three-dimensional steady state and transient response analysis of geared systems under stick-slip motion generated excitations. In geared systems, stick-slip motion based excitations are mainly generated within the clutch systems. Thus, the dynamic model includes not only geared shafts and bearings, but also a single clutch stage. Three-dimensional shaft models are dynamically coupled with any number of gears and bearings at any design location of interest. Gear pairs are modeled using a simplified three dimensional dynamic model. Bearings are modeled using lumped compliance elements. The clutch has two interconnected modeling stages: a nonlinear torque characteristics model and a clutch disk model. The nonlinear torque transmission characteristics of the clutch are modelled as a piecewise linear function, while the dynamics of the clutch disk in 3D are modelled using a specifically driven Finite Element Model (FEM) utilizing thick plate elements. Finally, the clutch disk model is coupled with the input shaft to create the complete dynamic model. Nonlinearly transmitted torque is applied on clutch plate surface, and a Newmark’s time-step marching based integration method is used to determine transient response of the system. The capabilities of the model is highlighted through a benchmarking case study, where the baseline model would be a torsional dynamic model borrowed from literature.