On the modelling of spur and helical gear dynamic behaviour
Abstract
This chapter is aimed at introducing the fundamentals of spur and helical gear dynamics. Using three-dimensional lumped models and a thin-slice approach for mesh elasticity, the general equations of motion for single-stage spur or helical gears are presented. Some particular cases including the classic one degree-of-freedom model are examined in order to introduce and illustrate the basic phenomena. The interest of the concept of transmission errors is analysed and a number of practical considerations are deduced. Emphasis is deliberately placed on analytical results which, although approximate, allow a clearer understanding of gear dynamics than that provided by extensive numerical simulations. Some extensions towards continuous models are presented.
Keywords
Cite
@article{arxiv.1204.2636,
title = {On the modelling of spur and helical gear dynamic behaviour},
author = {Philippe Velex},
journal= {arXiv preprint arXiv:1204.2636},
year = {2012}
}