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Shock and Vibration
Volume 2017, Article ID 7982170, 12 pages
Research Article

A Study on the Dynamic Behaviour of Lightweight Gears

Department of Mechanical, Energy and Management Engineering, Università della Calabria, 87036 Rende, Italy

Correspondence should be addressed to Domenico Mundo; ti.lacinu@odnum.ocinemod

Received 3 August 2017; Accepted 7 September 2017; Published 16 October 2017

Academic Editor: Matteo Filippi

Copyright © 2017 Shadi Shweiki et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper investigates the dynamic effects of mass reduction on a pair of spur gears. A one-Degree-of-Freedom (DOF) model of a mechanical oscillator with clearance-type nonlinearity and linear viscous damping is used to perform the investigations. One-dimensional (1D) gear pair models aim at studying the torsional gear vibrations around the rotational axes and can be used to simulate either gear whine or gear rattle phenomena. High computational efficiency is reached by using a spring-damper element with variable stiffness to model the gear meshing process. The angle-dependent mesh stiffness function is computed in a preparation phase through detailed Finite Element (FE) simulations and then stored in a lookup table, which is then interpolated during the dynamic simulation allowing for high computational efficiency. Nonlinear contact effects and influence of material discontinuities due to lightweighting are taken into account by FE simulations with high level of detail. Finally, the influence of gear body topology is investigated through a sensitivity analysis, in which analytical functions are defined to describe the time-varying mesh stiffness.