Article | Proceedings of the 9th International MODELICA Conference; September 3-5; 2012; Munich; Germany | Revised and Improved Implementation of the Spur Involute Gear Dynamical Model

Title:
Revised and Improved Implementation of the Spur Involute Gear Dynamical Model
Author:
Ivan Kosenko: Dorodnitsyn Computing Center of Russian Academy of Sciences, Department of Mechanics, Moscow, Russia Ilya Gusev: Russian State University of Tourism and Service, Department of Natural and Engineering Sciences, Russia
DOI:
10.3384/ecp12076311
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Full text (pdf)
Year:
2012
Conference:
Proceedings of the 9th International MODELICA Conference; September 3-5; 2012; Munich; Germany
Issue:
076
Article no.:
032
Pages:
311-322
No. of pages:
12
Publication type:
Abstract and Fulltext
Published:
2012-11-19
ISBN:
978-91-7519-826-2
Series:
Linköping Electronic Conference Proceedings
ISSN (print):
1650-3686
ISSN (online):
1650-3740
Publisher:
Linköping University Electronic Press; Linköpings universitet


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Using an approach for building up a model of the spur involute gear dynamics previously implemented an improved model having new; more realistic; properties is constructed. First of all; an algorithm for contact tracking of cylindrical surfaces directed by involutes was rearranged. This algorithm is "simply" reduced to tracking of two involutes. As a result it turned out that common line normal to these both curves of contacting always coincides with line of action. This property makes it possible to obtain direct simple formulae for computations of contact. In the model under consideration a backlash in gearbox is also taken into account. This means that lost of contact between teeth is possible when gearwheels rotating. It is possible then to appear the contact patch for reversal. After that dynamical reasons can force the mesh process to return to the former mode of the forward stroke and so fourth. All such scenarios for modes switching are implemented in the model in a unified manner. To ensure the mesh reliability an overlapping in time of contacts between teeth pairs is used. This property is also implemented in the dynamical model under description. New contact of the next pair of teeth is formed and starts its motion along the line of action before the old contact will leave this line at point of teeth disengaging.

Keywords: spur gear; involute; mesh properties; tracking algorithm; mesh ratio; multiple contact; backlash

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

Author:
Ivan Kosenko, Ilya Gusev
Title:
Revised and Improved Implementation of the Spur Involute Gear Dynamical Model
DOI:
http://dx.doi.org/10.3384/ecp12076311
References:
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[2] Pelchen; C.; Schweiger; C.; Otter; M. Modeling and Simulating the Efficiency of Gearboxes and of Planetary Gearboxes. In: Proceedings of 2nd International Modelica Conference; Deutsches Zentrum für Luft- und Raumfahrt e. V. (DLR); Oberpfaffenhofen; Germany; March 18–19; 2002; pp. 257–266.
[3] Kosenko; I.; Gusev I. Implementation of the spur involute gear model on Modelica. In: Proceedings of the 8th International Modelica Conference; Auditorium Centre of the Technische Universitat Dresden; Germany; March 20–22; 2011; pp. 315–328.
[4] Johnson; K. L.: Contact Mechanics. Cambridge: Cambridge University Press; 2001.
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Proceedings of the 9th International MODELICA Conference; September 3-5; 2012; Munich; Germany

Author:
Ivan Kosenko, Ilya Gusev
Title:
Revised and Improved Implementation of the Spur Involute Gear Dynamical Model
DOI:
http://dx.doi.org/10.3384/ecp12076311
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