Numerical modelling of ground-tunnel support interaction using bedded-beam-spring model with fuzzy parameters
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Gospodarka Surowcami Mineralnymi – Mineral Resources Management 2011;27(4):71–87
The study of the ground-tunnel interaction by introducing a predetermined degree of variation (fuzziness) in some parameters of the chosen model is presented and discussed. This research comes from the consideration that tunnel model parameters and geometry are usually affected by a degree of uncertainty, mainly due to construction imprecision and the great variability of rock mass properties. The research has been developed by using the fuzzy set theory assuming that three model parameters are affected by a certain amount of uncertainty (defined by the so-called membership functions). The response of the numerical model is calculated by solving the fuzzy equations for different shapes of the membership functions. In order to investigate the effects of some model parameters, and to provide a simple procedure and tool for the designers, a study on the effect of tunnel boundary conditions, based on a fuzzy model, has been carried out using a simple but well known and widely used design method such as the bedded-beam-spring model.
Modelowanie numeryczne współpracy obudowy tunelu z ośrodkiem z wykorzystaniem modelu powłokowo-belkowo-sprężynowego oraz metody zbiorów rozmytych
obudowa modelu, model numeryczny, zbiór rozmyty
Przedstawiono i przeprowadzono dyskusję wyników badań współpracy obudowy tunelu z ośrodkiem z wykorzystaniem określonego stopnia zmienności niektórych parametrów wybranego modelu. Badania te związane są z rozważaniami, że parametry i geometria modelu tunelu są obarczone pewnym stopniem niepewności, wynikającym z niedokładności konstrukcji i dużą zmiennością parametrów masywu skalnego. Badania zostały przeprowadzone z użyciem teorii zbiorów rozmytych zakładając, że trzy parametry modelu są obarczone pewną niepewnością (zdeterminowaną przez funkcję przynależności). Obliczenia numeryczne wykonano rozwiązując równanie funkcji losowych dla zróżnicowanych funkcji przynależności. W celu sprawdzenia wpływu modelu parametrów i opracowania uproszczonej procedury i narzędzi dla projektantów, przeprowadzono badania oparte na zbiorach losowych z użyciem znacznej i szeroko stosowanej metody wykorzystującej model powłokowo-belkowo-sprężynowy.
Association Française des Tunnels et de l'Espace Souterrain, 1976 - Consideration on the usual method of tunnel lining design, Tunnels & Ouvrages Souterrains, vol. 14, mars/avril.
Barpi F., Peila D., 2011 - Influence of the tunnel shape on shotcrete linings stresses after excavation. Computer-Aided Civil and Infrastructure Engineering, on line version, DOI: 10.1111/j.1467-8667.2011.00728.x.
Bathe K. J., 1996 - Finite Element Procedures. Prentice Hall.
Bieniawsk i Z., 1989 - Engineering rock mass classifications: a complete manual for engineers and geologists in mining, civil, and petroleum engineering. Wiley-interscience publication, Wiley.
Borio L., Peila D., 2011 - Laboratory test for EPB tunnelling assessment: results of test campaign on two different granular soils. Gospodarka Surowcami Mineralnymi, Vol. 27, No. 1, pp. 85-99.
Brown E., Bray J., Ladanyi B., Hoek E., 1983 - Ground response curve for rock tunnels. Journal of Geotechnical Engineering, ASCE, Vol. 109, pp. 15-39.
British Tunnelling Society (BTS), 2004 - Tunnel Lining Design Guide. Thomas Telford (London).
Carranza-Torres C., Diederichs M., 2009 - Mechanical analysis of circular liners with particular reference to composite supports. For example, liners consisting of shotcrete and steel sets. Tunnelling and Underground Space Technology, Vol. 24, Elsevier, London, pp. 506-532.
DAUB (German Commitee for Underground Construction), 2005 - Recommendation for static analysis of shield tunnelling machines. Tunnel, vol. 7, pp. 44-58.
Dubois D., Prade H., 1980 - Fuzzy Sets and Systems: Theory and Application. Academic Press, San Diego.
Goodman R., Shi G., 1985 - Block Theory and its Application to Rock Engineering. Prentice-Hall, New York.
Hoek E., Brown E., 1997 - Practical estimates of rock mass strength. International Journal of Rock Mechanics and Mining Science, vol. 34, No. 8, pp. 1165-1186.
Hoek E., Brown E., 1980 - Underground Excavation in Rock. The Institution of Mining and Metallurgy, London.
Hoek E., Carranza-Torres C., Corkum B., 2002 - Hoek-Brown failure criterion-2002 edition. 5th North American Rock Mechanics Symposium, Toronto (Canada), pp. 267-273.
Hoek E., Carranza-Torres C., Diederichs M., Corkum B., 2008 - The 2008 Kersten Lecture. Integration of geotechnical and structural design in tunnelling. 56th Annual Geotechnical Engineering Conference, Minneapolis (USA), pp. 1-53.
Kalamaras G., 1996 - A probabilistic approach to rock engineering design: application to tunnelling. Milestones in Rock Engineering: Bieniawski Jubilee Collection, Balkema, Rotterdam, pp. 113-135.
Muir Wood A., 1975 - The circular tunnel in elastic ground. Geotechnique, vol. 25, No. 1, Thomas Telford, London, pp. 115-127.
Oreste P., 1999 - Aspetti notevoli dell'analisi e dimensionamento dei sostegni di gallerie attraverso i metodi di calcolo numerici. Geoingegneria Ambientale e Mineraria, Vol. 57, Patron Editore, Bologna, pp. 39-50.
Oreste P., 2007 - A numerical approach to the hyperstatic reaction method for the dimensioning of tunnel supports. Tunnelling and Underground Space Technology Vol. 22, No. 2, Elsevier, London, pp. 185-205.
Panet M., 1995 - Le Calcul des Tunnels par la Méthode Convergence-Confinement. Presses de l'École Nationale des Ponts et Chaussées, Paris (France).
Peila D., 2009 - Indagini preliminari nella costruzione di gallerie: analisi della letteratura tecnica. Geoingegneria Ambientale e Mineraria, Vol. XLVI, No. 3, Patron Editore, Bologna, pp. 37-59.
Schulz K., Huwe B., 1997 - Water flow modelling in the unsaturated zone with imprecise parameters using a fuzzy approach'. Journal of Hydrology, Vol. 201, pp. 211-229.
US Army Corps of Engineering (USACE), 1997 - Tunnels and shafts in rock. Engineering Manual 1110-2-2901, Washington (USA).
Zadeh L., 1968 - Fuzzy algorithms. Information and Control, Vol. 12, pp. 94-102.
Zadeh L., 1988 - Fuzzy logic. Institute of Electrical and Electronic Engineers Computer, Vol. 1, No. 14, pp. 83-93.
Zienkiewicz O. C., Taylor R. L., 2000 - Finite Element Method: Volume 1, 2, 3, Butterworth-Heinemann.