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
 
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ABSTRACT
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.
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Polish
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.
 
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