Abstract
The current technological state-of-the-art utilises modified gear profiles, which are in part non-conjugate and therefore cannot be analysed using standard conjugate contact theory. Existing non-conjugate mathematical models require the solution of a system of implicit equations, typically with significant computational effort and need for careful monitoring of solution stability, convergence and selection of initial values. This paper derives a modified form for the fundamental gear meshing equations, which are reduced analytically to a single scalar equation, resulting in improved solution speed and stability. The solution is verified in benchmark tests using real gear geometries.
Original language | English |
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Pages (from-to) | 2162-2171 |
Number of pages | 10 |
Journal | Applied Mathematical Modelling |
Volume | 32 |
Issue number | 10 |
DOIs | |
Publication status | Published - Oct 2008 |
Externally published | Yes |
Keywords
- Direct analytical solution
- Gear mesh analysis
- Non-conjugate contact
ASJC Scopus subject areas
- Modelling and Simulation
- Applied Mathematics