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Node-to-target formulation in finite element spur gear problems
Linköping University, Department of Management and Engineering, Mechanics. Linköping University, The Institute of Technology.
2005 (English)In: Mechanics based design of structures and machines, ISSN 1539-7734, E-ISSN 1539-7742, Vol. 33, no 1, 31-49 p.Article in journal (Refereed) Published
Abstract [en]

In this paper, a quasistatic finite element model of a spur gear pair is developed. A node-to-target contact formulation is given, where calculations of initial gaps are based upon the actual geometry of the gear flanks rather than upon a contact node and a facet or a line segment. By using a special contact search algorithm, profile modifications and mounting errors are easily incorporated in the analysis. The problem, which also includes friction, is solved by using a nonsmooth Newton method. The static transmission error can be calculated with accuracy with a relatively small number of nodes along the gear flanks. Several examples are given in order to demonstrate the model.

Place, publisher, year, edition, pages
2005. Vol. 33, no 1, 31-49 p.
Keyword [en]
Contact, Finite element, Gears, Static transmission error
National Category
Engineering and Technology
URN: urn:nbn:se:liu:diva-50338DOI: 10.1081/SME-200045797OAI: diva2:271234
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2013-01-30
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.
Linköping Studies in Science and Technology. Dissertations, ISSN 0345-7524 ; 862
National Category
Engineering and Technology
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)
Available from: 2009-10-09 Created: 2009-10-09 Last updated: 2013-01-30

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Lundvall, Olle
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