Modelica Spur Gears with Hertzian Contact Forces

Markus Dahl
Wolfram MathCore, Linköping, Sweden

Håkan Wettergren
Wolfram MathCore, Linköping, Sweden

Henrik Tidefelt
Wolfram MathCore, Linköping, Sweden

Ladda ner artikelhttp://dx.doi.org/10.3384/ecp17132755

Ingår i: Proceedings of the 12th International Modelica Conference, Prague, Czech Republic, May 15-17, 2017

Linköping Electronic Conference Proceedings 132:82, s. 755-763

Visa mer +

Publicerad: 2017-07-04

ISBN: 978-91-7685-575-1

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


To be able to capture the dynamics of entire systems is one of the strengths of the Modelica language. This article will examine the possibility of modeling spur gears in the Modelica environment Wolfram SystemModeler, and integrating them with other rotating machinery elements, such as roller bearings and flexible shafts. The contact forces between spur gears are based on the Hertzian Theory of Contact.


Spur Gear, Hertz Contact Theory, Rotating Machinery


Ivan Kosenko and Il’ya Gusev. Implementation of the spur involute gear model on modelica. Proceedings of the 8th International Modelica Conference, 2011. URL https://www.modelica.org/events/modelica2011/Proceedings/pages/papers/13_3_ID_117_a_fv.pdf.

Ivan Kosenko and Ilya Gusev. Revised and improved implementation of the spur involute gear dynamical model. Proceedings of the 9th International Modelica Conference, 2012. doi:https://doi.org/10.3384/ecp12076311.

M. Otter, M. Dempsey, and C. Schegel. Package PowerTrain: A Modelica library for modeling and simulation of vehicle power trains. Modelica Workshop 2000 Proceedings, pages 22–32, 2000. URL https://www.modelica.org/events/workshop2000/index_html/proceedings/Otter.pdf.

F.L.J. van der Linden. Modelling of elastic gearboxes using a generalized gear contact model. Proceedings of the 9 International Modelica Conference, 2012. doi: https://doi.org/10.3384/ecp12076303.

F.L.J. van der Linden. Modeling of geared positioning systems: An object-oriented gear contact model with validation. Proceedings of the Institution of Mechanical Engineers, 2015. doi: https//doi.org/10.1177/0954406215592056.

F.L.J. van der Linden and P.H. Vazques de Souza Silva. Modelling and simulating the efficiency and elasticity of gearboxes. Proceedings 7th Modelica Conference, 2009. doi: httos://doi.org/10.3384/ecp09430052.

Dirk Zimmer. A planar mechanical library for teaching modelica. Proceedings of the 9th International Modelica Conference, 2012. doi: https://doi.org/10.3384/ecp12076681.

Citeringar i Crossref