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A flexible multi-body approach for frictional contact in spur gears
Linköping University, Department of Management and Engineering, Mechanics. Linköping University, The Institute of Technology.
Linköping University, Department of Management and Engineering, Mechanics. Linköping University, The Institute of Technology.
Linköping University, Department of Management and Engineering, Mechanics. Linköping University, The Institute of Technology.ORCID iD: 0000-0001-8460-0131
2004 (English)In: Journal of Sound and Vibration, ISSN 0022-460X, E-ISSN 1095-8568, Vol. 278, no 3, 479-499 p.Article in journal (Refereed) Published
Abstract [en]

In the present paper, a large rotational approach for dynamic contact problems with friction is proposed. The approach is used for modelling a spur gear pair with shafts and bearings. The model is obtained by superposing small displacement elasticity on rigid-body motions, and postulating tribological laws on the gear flanks. The finite element method is used to model the elastic properties of the gear pair. Shafts and bearings are represented by linear springs. The tribological laws of the contact interface are Signorini's contact law and Coulomb's law of friction. An important feature of the approach is that the difficulties of impacting mass nodes are avoided. The governing equations of the model are numerically treated by use of the augmented Lagrangian approach. In such manner the geometry of the gear flanks are well represented in the numerical simulations. It is possible to study accurately the consequences of different types of profile modifications as well as flank errors. In this work, the dynamic transmission error is studied. For instance, it turns out that the effect from profile modification is less significant for the transmission error when frictional effects are included.

Place, publisher, year, edition, pages
2004. Vol. 278, no 3, 479-499 p.
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-22562DOI: 10.1016/j.jsv.2003.10.057Local ID: 1828OAI: oai:DiVA.org:liu-22562DiVA: diva2:242875
Available from: 2009-10-07 Created: 2009-10-07 Last updated: 2017-12-13
In thesis
1. Contact mechanics and noise in gears
Open this publication in new window or tab >>Contact mechanics and noise in gears
2004 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

In this thesis, recent findings in the area of computational contact mechanics are applied to gear technology. The focus of this application is gear noise. One of the main goals is to calculate the so called transmission error, which is a measure that relates structural properties of a gear to gear noise.

Computational methodologies are developed in order to analyze different types of gear problems. The finite element method forms the basis for the developed models. In addition to the finite element models of the gear wheels, contact laws are used in order to simulate the contact between the gear flanks. These laws are Signorini's contact law and Coulomb's law of friction and by expressing them as B-differential equations the application of Pang's Newton method for B-differential equations is enabled.

The transmission error is calculated with good accuracy under both quasi-static and dynamic conditions. By incorporating Archard's wear law into the models, predictions of how wear affects the transmission error are made. It is found that wear can have a significant impact on gear noise.

It is shown that friction by no means can be neglected when calculating the transmission error. In the dynamic calculations of this thesis, friction always increases the dynamic transmission error. It is also concluded that the effect from friction becomes more significant if shaft and bearing stiffnesses are small.

Place, publisher, year, edition, pages
Linköping: Linköpings universitet, 2004. 15 p.
Series
Linköping Studies in Science and Technology. Dissertations, ISSN 0345-7524 ; 862
National Category
Engineering and Technology
Identifiers
urn:nbn:se:liu:diva-29071 (URN)14325 (Local ID)91-7373-896-4 (ISBN)14325 (Archive number)14325 (OAI)
Public defence
2004-03-18, Sal C3, C-huset, Linköpings Universitet, Linköping, 10:15 (Swedish)
Opponent
Available from: 2009-10-09 Created: 2009-10-09 Last updated: 2013-01-30

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Lundvall, OlleStrömberg, NiclasKlarbring, Anders

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