Conference article

Modelling of Elastic Gearboxes Using a Generalized Gear Contact Model

Franciscus van der Linden
German Aerospace Center (DLR), Germany

Download articlehttp://dx.doi.org/10.3384/ecp12076303

Published in: Proceedings of the 9th International MODELICA Conference; September 3-5; 2012; Munich; Germany

Linköping Electronic Conference Proceedings 76:31, p. 303-310

Show more +

Published: 2012-11-19

ISBN: 978-91-7519-826-2

ISSN: 1650-3686 (print), 1650-3740 (online)

Abstract

The object of this paper is to present an universal model that describes the gear contact between two gears in a planar environment. The model includes elastic effects between the gear wheels. Using this model it is possible to create arbitrary spur gear connections as well as all kinds of epicyclic gearing configurations by supplying the proper external constraints. The presented model is implementated in the Modelica language and Dymola is used to do the simulations.

Keywords

Elasticity; Gearbox; Epicyclic Gearing; System Modeling

References

[1] HOWARD; I.; JIA; S.; AND WANG; J. The dynamic modelling of a spur gear in mesh including friction and a crack. Mechanical Systems and Signal Processing 15 (2001); 831–853. doi: 10.1006/mssp.2001.1414.

[2] KELLY; S. Fundamentals of mechanical vibrations. McGraw-Hill series in mechanical engineering. McGraw-Hill; 2000.

[3] OTTEWILL; J. R.; NEILD; S. A.; AND WILSON; R. E. Intermittent gear rattle due to interactions between forcing and manufacturing errors. Journal of Sound and Vibration 321; 3-5 (2009); 913 – 935. doi: 10.1016/j.jsv.2008.09.050.

[4] ÖZGÜVEN; N.; AND HOUSER; D. Mathematical models used in gear dynamics - a review. Journal of Sound and Vibration 121; 3 (1988); 383–411. doi: 10.1016/S0022-460X(88)80365-1.

[5] PAREY; A.; EL BADAOUI; M.; GUILLET; F.; AND TANDON; N. Dynamic modelling of spur gear pair and application of empirical mode decomposition-based statistical analysis for early detection of localized tooth defect. Journal of Sound and Vibration 294 (2006); 547–561. doi: 10.1016/j.jsv.2005.11.021.

[6] PAREY; A.; AND TANDON; N. Spur gear dynamic models including defects: A review. The Shock and Vibration Digest 35 (2003); 465–478. doi: 10.1177/05831024030356002.

[7] PEDERSEN; R.; SANTOS; I. F.; AND HEDE; I. A. Advantages and drawbacks of applying periodic time-variant modal analysis to spur gear dynamics. Mechanical Systems and Signal Processing 24; 5 (2010); 1495 – 1508. Special Issue: Operational Modal Analysis. doi: 10.1016/j.ymssp.2009.12.009.

[8] PELCHEN; C.; SCHWEIGER; C.; AND OTTER; M. Modeling and simulating the efficiency of gearboxes and of planetary gearboxes. In 2nd International Modelica Conference (2002); pp. 257–266.

[9] SAWALHI; N.; AND RANDALL; R. Simulating gear and bearing interactions in the presence of faults: Part i. the combined gear bearing dynamic model and the simulation of localised bearing faults. Mechanical Systems and Signal Processing 22; 8 (2008); 1924 – 1951. doi: 10.1016/j.ymssp.2007.12.001.

[10] VAN DER LINDEN; F.; AND VAZQUES DE SOUZA SILVA; P. Modelling and simulating the efficiency and elasticity of gearboxes. In Proceedings of the 7th International Modelica Conference; Como; Italy (20-22 September 2009); pp. 270–277.

[11] ZIMMER; D. A planar mechanical library for teaching modelica. In review for the Proceedings of the 9th International Modelica Conference (2012).

Citations in Crossref