Derivation of the scaling laws used in geotechnical centrifuge modelling-application of dimensional analysis and Buckingham Π theorem

• Autorzy: Konkol J.
• Języki publikacji: EN

Abstrakty

EN

Geotechnical centrifuge modelling has been a world-wide used technology in physical tests. In this papers a derivation of scaling laws by dimensional analysis for the centrifugal modelling is presented. Basic principles of centrifuge modelling are described. Scaling laws for slow events like consolidation and fast events like dynamic loads are shown. The differences in scale factors for both processes are noticed. The aim of this paper is to introduce geotechnical centrifuge technology to a wider Polish audience.

Słowa kluczowe

EN

geotechnical centrifuge; scaling law; similitude law; dimensional analysis

• Wydawca: Wydawnictwo Uniwersytetu Warmińsko-Mazurskiego w Olsztynie
• Czasopismo: Technical Sciences / University of Warmia and Mazury in Olsztyn
• Rocznik: 2014
• Tom: nr 17(1)
• Strony: 31--44
• Opis fizyczny: Bibliogr. 17 poz., rys., tab.

Twórcy

autor

Konkol J.

• Department of Geotechnics, Geology and Maritime Engineering, Gdańsk University of Technology

Bibliografia

• CORTÉ J.-F. 1989. General report/Discussion session 11: Model testing-Geotechnical model tests. Proceedings of the XII ICSMFE, Rio de Janeiro, 13-18 August, p. 2553-2571.
• FUGLSANG L.D., OVESEN N.K. 1988. The application of the theory of modelling to centrifuge studies. In: Centrifuges in Soil Mechanics. Eds. W.H. Craig, R.G. James, A.N. Schofield. Balkema, Rotterdam, pp. 119–138.
• GARNIER J., GAUDIN C., SPRINGMAN S.M., CULLIGAN P.J., GOODINGS D., KONIG D., KUTTER B., PHILLIPS R., RANDOLPH M.F., THOREL L. 2007. Catalogue of scaling laws and similitude questions in geotechnical centrifuge modelling. International Journal of Physical Modelling in Geotechnics, 3(3), 1–23.
• HEINBOCKEL J.H. 2001. Introduction to Tensor Calculus and Continuum Mechanics Trafford Publishing, Victoria.
• JOSEPH P.J., EINSTEIN H.H., WHITMAN R.V. 1988. A literature review of geotechnical centrifuge modelling with particular emphasis on rock mechanics. Final Report, Massachusetts Institute of Technology, Department of Civil Engineering, Massachusetts.
• KIM D.-S., KIM N.-R. CHOO Y.W., CHO G.C. 2013. A Newly Developed State-of-the-Art Geotechnical Centrifuge in Korea. KSCE Journal of Civil Engineering, 17(1), 77–84.
• KONKOL J. 2013. Geotechnical Centrifuge Modelling. Master Thesis, Gdańsk University of Technology, Department of Geotechnics, Geology & Maritime Engineering, not published.
• KUTTER B.L. 1998. Geotechnical centrifuge at the University of California Davis.png, photo is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported. On line: http://commons.wikimedia.org/wiki/File:Geotechnical_centrifuge_at_the_University_of_California,_Davis.png (access: 7.11.2013).
• LANGHAAR H. 1951. Dimensional Analysis and Theory of Models. John Wiley and Sons, New York.
• MADABHUSHI S.P.G., SCHOFIELD A.N. 1993. Centrifuge modelling of tower structures on saturated sands subjected to earthquake perturbation. Geotechnique, 43(4): 555–565.
• MUSKAT M. 1937. The Flow of Homogeneous Fluids through Porous Media. McGraw-Hill Book Company, New York.
• NG C.W.W., VAN LAAK P., TANG W.H., LI X.S., SHEN C.K. 2001. The Hong Kong Geotechnical Centrifuge and Its Unique Capabilities. Sino-Geotechnics, Taiwan, 83: 5–12.
• SCHOFIELD A.N. 1980. Cambridge geotechnical centrifuge operations. Geotechnique, 30(3): 227–268.
• STEWART D.P., CHEN Y.R., KUTTER B.L. 1998. Experience With The Use Of Methyl Cellulose As A Viscous Pore Fluid In Dynamic Centrifuge Models. ASTM Geotechnical Testing Journal, 21(4): 365–369.
• TAYLOR R.N. 1995. Geotechnical Centrifuge Technology. Blackie Academic & Professional.
• THUSYANTHAN N.I., MADABHUSHI S.P.G. 2003. Scaling of Seepage Flow Velocity in Centrifuge Models. CUED/D-SOILS/TR326, University of Cambridge, Department of Engineering.
• WIŁUN Z. 2010. Zarys geotechniki. WKŁ, Warszawa.