Abstract
In this work a new efficient finite element (FE) model for rolling contact [RiBEM (rigid ball with equivalent material)] is shortly presented. The RiBEM model is used to efficiently compute the eigenmodes of a linear guide system. Experimental modal analysis of the real linear guide shows with 5 % error a very good correlation with the numerical results. Although the new contact model reduces computational time by more than ten times compared with the standard FE model, it is still too expensive for use within whole machine tool models. For this reason an equivalent, mesh independent and geometrically scalable model (rolling contact spring) based on the Hertz theory is introduced and also validated with the help of modal measurements. As a justification for the presented work, results with stiffness data from the manufacturer are also presented and less correlation with the experiment is found in this case.
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References
Großmann K, Neidhardt L (2006) FEM-gestützte Analyse von Profilschienen-Führungssystemen (Part 1). ZWF Zeitschrift für wirtschaftlichen Fabrikbetrieb 09/2006, pp 517–521
Großmann K, Neidhardt L (2006) FEM-gestützte Analyse von Profilschienen-Führungssystemen (Part 2). ZWF Zeitschrift für wirtschaftlichen Fabrikbetrieb 10/2006, pp 574–578
Dadalau A, Groh K, Reuß M, Verl A (2011) Modelling linear guide systems with CoFEM—equivalent models for rolling contact. Prod Eng Res Dev 6(1):39–46 (WGP) 2012. doi:10.1007/s11740-011-0349-3
Maoa K, Li B, Wub J, Shao X (2010) Stiffness influential factors-based dynamic modelling and its parameter. Int J Mach Tools Manuf 50(2):156–164
Behrens B, Ahrens M (2011) Determination of the load on profiled roller guide rails used as ram guides for metal-forming machines. Prod Eng Res Dev 1(1):45–49 (WGP) 2007. doi:10.1007/s11740-007-0019-7
VDI-Richtlinie 2230 (2003) Systematic calculation of high duty bolted joints—joints with one cylindrical bolt. VDI-Richtlinien 2230, Part 1, Table 8A
Gaul L, Mayer M (2007) Efficient modelling of contact interfaces of joints in built-up structures. In: WIT transactions on engineering sciences, vol 55, WIT Press. ISSN 1743-3533. doi:10.2495/SECM070191. http://www.witpress.com
Gaul L, Mayer M (2008) Prediction of the vibration behaviour of structures with joints. In: Symposium of advances in contact mechanics: a tribute to Prof. J.J. Kalker, 22–24 Oct 2008, Delft
Petuelli G (1984) Theoretische und experimentelle Bestimmung der Steifigkeits- und Dämpfungseigenschaften normalbelasteter Fügestellen. Dissertation RWTH Aachen
Gonzalez-Valadeza M, Baltazar A, Dwyer-Joyce RS (2010) Study of interfacial stiffness ratio of a rough surface in contact using a spring model. Wear 268:373–379
Acknowledgments
This research was supported by the Institute of Control of Manufacturing Units Stuttgart (ISW), by the excellence cluster SimTech Stuttgart and by GSaME Stuttgart. This support is highly appreciated.
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Dadalau, A., Verl, A. Modeling linear guide systems with CoFEM: experimental validation. Prod. Eng. Res. Devel. 6, 259–265 (2012). https://doi.org/10.1007/s11740-012-0377-7
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DOI: https://doi.org/10.1007/s11740-012-0377-7