Shock and Vibration

Shock and Vibration / 2012 / Article
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International Conference on Structural Engineering Dynamics – ICEDyn 2011

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Volume 19 |Article ID 781573 |

J. Awrejcewicz, G. Kudra, "Celtic Stone Dynamics Revisited Using Dry Friction and Rolling Resistance", Shock and Vibration, vol. 19, Article ID 781573, 9 pages, 2012.

Celtic Stone Dynamics Revisited Using Dry Friction and Rolling Resistance

Received25 Apr 2012
Accepted25 Apr 2012


The integral model of dry friction components is built with assumption of classical Coulomb friction law and with specially developed model of normal stress distribution coupled with rolling resistance for elliptic contact shape. In order to avoid a necessity of numerical integration over the contact area at each the numerical simulation step, few versions of approximate model are developed and then tested numerically. In the numerical experiments the simulation results of the Celtic stone with the friction forces modelled by the use of approximants of different complexity (from no coupling between friction force and torque to the second order Padé approximation) are compared to results obtained from model with friction approximated in the form of piecewise polynomial functions (based on the Taylor series with hertzian stress distribution). The coefficients of the corresponding approximate models are found by the use of optimization methods, like as in identification process using the real experiment data.

Copyright © 2012 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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