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## Journal of Machine Engineering

2016 | Vol. 16, No. 1 | 43--56
Tytuł artykułu

### Modelling and optimization of machine tools on foundations

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This paper aims to expand existing complex mathematical models of machines in a manner that would respect the influence of their installation on the foundation. For this purpose, a method of modelling and optimization of foundations was developed. It consists of four basic parts: Mathematical modelling of machines, optimization of the number and placement of fixing (levelling) elements, optimization and modelling of the reinforced concrete foundation and modelling of the subsoil with respect to engineering geological conditions. The main optimization criterion is to increase the lowest natural frequency of the machine while reducing the foundation weight (amount of reinforced concrete).The result is a virtual mathematical model of the machine tool, including the influence of its foundation and subsoil. The proposed optimization can be used for designing new machines, machine foundations and the number and distribution of machine levelling elements. This method has been applied and tested on a virtual model of a multi-purpose machining center for workpieces up to 15 tons.
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Rocznik
Strony
43--56
Opis fizyczny
Bibliogr. 18 poz., rys.
Twórcy
autor
• Czech Technical University in Prague, Faculty of Mechanical Engineering, RCMT, Prague, Czech Republic, l.novotny@rcmt.cvut.cz
autor
• Czech Technical University in Prague, Faculty of Mechanical Engineering, RCMT, Prague, Czech Republic
autor
• Czech Technical University in Prague, Faculty of Mechanical Engineering, RCMT, Prague, Czech Republic
autor
• Czech Technical University in Prague, Faculty of Mechanical Engineering, RCMT, Prague, Czech Republic
Bibliografia
• [1] CHRISTENSEN P.W., KLARBRING A., 2008, An Introduction to Structural Optimization, Springer Netherlands.
• [2] CRISFIELD M.A., 2003, Non-linear Finite Element Analysis of Solids and Structures, Volume 2 Advanced Topics, John Wiley & Sons, West Sussex, England.
• [3] DEB K., PRATAP A., AGARWAL S., MEYARIVAN T., 2002, A Fast and Elitist Multiobjective Genetic Algorithm: NSGA-II, IEEE Transactions on Evolutionary Computation, 6/2, 182-197.
• [4] HUANG Z., HINDUJA S., 1986, Shape optimization of a foundation for a large machine tool, International Journal of Machine Tool Design and Research, 26/2, 85-97.
• [5] LI B. et al., 2012, Optimal design of machine tool bed by load bearing topology identification with weight distribution, Procedia CIRP, 3, Elsevier, 626-631.
• [6] KLEIN G., KLEIN D., SMOLTCZYK U., 2002, Machine foundations, Geotechnical Engineering Handbook, 1 – 3, John Wiley & Sons, 519-558.
• [7] KOLÁŘ P., SULITKA M., 2009, Coupled Model of The Spindle And Machine Tool Frame, Journal of Machine Engineering, 9/2, 32-44.
• [8] MÁCA J., 1988, Spolupůsobení základové konstrukce s podložím při dynamickém zatížení, CTU, Faculty of Civil Engineering, Prague, (in Czech).
• [9] MAJOR, A., 1980, Dynamics in Civil Engineering, Akadémiai Kiado, Budapest.
• [10] MYERS A. et al., 2009, Evaluation and comparison of a large machine tool structure with ISO standard alignment tests, Laser metrology and machine performance, Euspen Ltd, 57-66.
• [11] MYERS A., BARRANS S., FORD D.G., 2007, Structural analysis of a large moving gantry milling machine including its work support system and foundation, In: Laser Metrology and Machine Performance VIII. Euspen Ltd, Euspen Headquarters, Cranfield University, 63-72, ISBN 9780955308239.
• [12] MYERS A., BARRANS S., FORD D. G., 2005, Measurement techniques for determining the static stiffness of foundation for machine tools. Journal of Physics, University of Huddersfield, 410-13.
• [13] MYERS A, FORD D. G., BARRANS S., 2005, Finite element analysis of the static stiffness of a foundation for large machine tool, Cranfield University, Lamdamap, 77-86.
• [14] NOVAK M., et al, 1978, Dynamic Soil Reactions for Plane Strain Case, J. Eng. Mech., Div., ASCE, 104/4, 953-959.
• [15] SCOTT-TAGGART R., 1977, Precision grouting - its importance in mechanical engineering, ISSN/ISBN 58-60 0009-191X.
• [16] ŠIMEK J., 1990, Mechanika zemin, B.m.: SNTL, Czechoslovakia, (in Czech).
• [17] SULITKA M., ŠINDLER J., SUŠEŇ J., 2014, Coupled Modelling for Machine Tool Structural Optimization, Journal of Machine Engineering, 14/3, 21-34.
• [18] Online nápověda, Fine - Civil engineering software [online]. [Cited 14th January 2016]. Reachable from: http://www.fine.cz/napoveda/geo5/cs/soucinitel-stlacitelnosti-01/
Uwagi
PL
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.
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