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Prediction of transmission error in spur gears as a consequence of wear
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
2001 (English)In: Mechanics of structures and machines (Print), ISSN 0890-5452, Vol. 29, no 4, 431-449 p.Article in journal (Refereed) Published
Abstract [en]

The aim of this article is to investigate how the so-called transmission error in a gear develops in a wear process. A finite element procedure for calculating wear between two elastic bodies in contact is developed that includes constitutive laws, representing the behavior of the interacting surfaces. When treating a gear problem, large rotations must be included. This is done by analyzing a sequence of finite-element models along with an interpolation procedure. The constitutive laws of interacting surfaces are Signorini's contact law, Coulomb's law of friction, and Archard's law of wear. By formulating both Signorini's contact law and Coulomb's law of friction by means of projection equations, the complete formulation of a time increment of a quasistatic wear-friction evolution problem becomes a system of nonsmooth equations. Then, a modified Newton method is applied to solve this system. The transmission error can be found from the infinitesimal displacement field superposed on the rigid body configuration. Results from the simulations show that wear will increase the peak-to-peak value of the transmission error. This is most significant in a gear when some kind of modification of the gear flank is applied to minimize the transmission error in an initial state.

Place, publisher, year, edition, pages
2001. Vol. 29, no 4, 431-449 p.
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-47232DOI: 10.1081/SME-100107621OAI: oai:DiVA.org:liu-47232DiVA: diva2:268128
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2017-05-15
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, OlleKlarbring, Anders

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