Article | Proceedings of the 8th International Modelica Conference; March 20th-22nd; Technical Univeristy; Dresden; Germany | Implementation of the Spur Involute Gear Model on Modelica Linköping University Electronic Press Conference Proceedings
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Title:
Implementation of the Spur Involute Gear Model on Modelica
Author:
Ivan Kosenko: Russian State University of Tourism and Service, Department of Engineering Mechanics, Russia Il’ya Gusev: Russian State University of Tourism and Service, Department of Engineering Mechanics, Russia
DOI:
10.3384/ecp11063315
Download:
Full text (pdf)
Year:
2011
Conference:
Proceedings of the 8th International Modelica Conference; March 20th-22nd; Technical Univeristy; Dresden; Germany
Issue:
063
Article no.:
035
Pages:
315-328
No. of pages:
14
Publication type:
Abstract and Fulltext
Published:
2011-06-30
ISBN:
978-91-7393-096-3
Series:
Linköping Electronic Conference Proceedings
ISSN (print):
1650-3686
ISSN (online):
1650-3740
Publisher:
Linköping University Electronic Press; Linköpings universitet


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A procedure to build up a dynamical model of the gearbox with spur involute mesh is being described. The main attention is paid to the design technology of the cylindrical bodies elastic contact models. To track geometry of contact implicit equations of algebraic/ transcendental or differential-algebraic type are being used. At the same time dynamical models of the bodies involved; gearwheels and gearbox housing; continue to be three-dimensional. Analytical computational procedures to obtain gradients and Hessians are constructed for implementing the contact tracking algorithm for the involute guided cylindrical surfaces. The known Johnson model is applied for computing the contact elastic normal force. This force is defined as an implicit function of the mutual penetration depth at contact. Regular algorithm to compute the normal elastic force is built up. This algorithm is proved to be convergent. A detailed analysis of the virtual setup dynamic model is carried out.

Keywords: spur gear; involute; Johnson model; mesh properties; tracking algorithm

Proceedings of the 8th International Modelica Conference; March 20th-22nd; Technical Univeristy; Dresden; Germany

Author:
Ivan Kosenko, Il’ya Gusev
Title:
Implementation of the Spur Involute Gear Model on Modelica
DOI:
http://dx.doi.org/10.3384/ecp11063315
References:

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[3] Schweiger; C.; Otter; M.; Modeling 3D Mechanical Effects of 1D Powertrains. In: Proceedings of the 3rd International Modelica Conference; Linköpings Universitet; Linköpings; Sweden; November 3–4; 2003; pp. 149–158.

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[7] Kosenko; I. I.; Alexandrov; E. B.; Implementation of the Hertz Contact Model and Its Volumetric Modification on Modelica. In: Proceedings of the 6th International Modelica Conference; University of Applied Sciences Bielefeld; Bielefeld; Germany; March 3–4; 2008; pp. 203–212.

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[13] Vaishya; M.; Singh; R.; Strategies for Modeling Friction in Gear Dynamics. Journal of Mechanical Design; 2003; Vol. 125; Iss. 2; pp. 383–393. doi: 10.1115/1.1564063.

[14] He; S.; Effect of Sliding Friction on Spur and Helical Gear Dynamics and Vibro–Acoustics. PhD thesis; The Ohio State University; 2008.

Proceedings of the 8th International Modelica Conference; March 20th-22nd; Technical Univeristy; Dresden; Germany

Author:
Ivan Kosenko, Il’ya Gusev
Title:
Implementation of the Spur Involute Gear Model on Modelica
DOI:
https://doi.org10.3384/ecp11063315
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