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Reliability assessment of bearing capacity of layered soils using High Dimensional Model Representation (HDMR)

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Języki publikacji
EN
Abstrakty
EN
HDMR (High Dimensional Model Representation) is a relatively new method that is used to form response surface based on results obtained through laboratory experiments or through numerical calculations. So far the method has been used mainly in chemistry, although a few studies conducted in recent years show that it can be considered a useful tool in soil mechanics and foundation engineering. The subject matter of this paper is the application of HDMR method to reliability assessment of bearing capacity of layered soils. Madej’s method, widely recognized and used by Polish engineers, is applied to conduct the calculations. In the analysed case bearing capacity is not expressed by means of an explicit formula. To fit the approximate functions of bearing capacity, its values are calculated on a grid of points equally spread on ranges of variables. Finding the relation between input and output data is conducted by means of assessing each variable’s influence on response’s mean value within a given scope. Approximate functions have been used to calculate reliability indices by means of FORM, SORM and Monte Carlo methods.
Słowa kluczowe
Wydawca
Rocznik
Strony
233--243
Opis fizyczny
Bibliogr. 24 poz., tab., rys.
Twórcy
autor
  • Institute of Geotechnics and Hydrotechnics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland
autor
  • Institute of Geotechnics and Hydrotechnics, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland
Bibliografia
  • [1] BUCHER C.G., BOURGUND U., A fast and efficient response surface approach for structural reliability problems, Structural Safety, 7, 1990, 57–66.
  • [2] CHOWDHURY R., RAO B., Hybrid High Dimensional Model Representation for reliability analysis, Comput. Methods Appl. Mech. Eng., 198, 2009, 753–765.
  • [3] CHOWDHURY R., RAO B., Probabilistic Stability Assessment of Slopes Using High Dimensional Model Representation, Computers and Geotechnics, 2010.
  • [4] DEMIRALP M., High Dimensional Model Representation and its application varieties, Tools for Mathematical Methods, Mathematical Research, St. Petersburg, Vol. 9, 2003, 146–159.
  • [5] DITLEVSEN O., MADSEN H.O., Structural reliability Methods, John Wiley & Sons, Chichester, 1996.
  • [6] FENTON G.A., GRIFFITHS D.V., Bearing capacity prediction of spatially random c – φ soils, Canadian Geotechnical Journal, 40(1), 2003, 545.
  • [7] FENTON G.A., GRIFFITHS D.V., Risk Assessment in Geotechnical Engineering, John Wiley & Sons, New York, 2008.
  • [8] HOHENBICHLER M., GOLLWITZER S., KRUSE W., RACKWITZ R., New light on first and second-order reliability methods, Structural Safety, 4, 1987, 267–284.
  • [9] ISO 2394:2000. General principles on reliability of structures. International Standard.
  • [10] KAYA H., KAPLANA M., SAYGINA H., A recursive algorithm for finding HDMR terms for sensitivity analysis Computer Physics Communications, 158, 2004, 106–112.
  • [11] LI G., WANG S.W., RABITZ H., Global uncertainty assessments by high dimensional model representation (HDMR), Chemical Engineering Science, Vol. 57, 2002, 4445–4460.
  • [12] LI G., RABITZ H., Regularized random-sampling high dimensional model representation (RS-HDMR), Journal of Mathematical Chemistry, Vol. 43, 2008, No. 3.
  • [13] MADEJ J., Bearing capacity of layered soils (O nośności granicznej podłoża uwarstwionego), (in Polish), Inżynieria i Budownictwo, Vol. 6, 1977.
  • [14] MADEJ J., Bearing capacity of layered soils under Polish Standard PN-81/B-03020 (O nośności granicznej podłoża uwarstwionego w świetle normy PN-81/B-03020), (in Polish). VII Conference of Soil Mechanics and Foundations (Konferencja Mechaniki Gruntów i Fundamentowania), (in Polish), Vol. 2, Poznań, 1984, 23–30.
  • [15] MUKHERJEE D., RAO B., PRASAD A.M., Global Sensitivity Analysis of Unreinforced Masonry Structure Using High Dimensional Model Representation, Engineering Structures, Vol. 33, No. 4, April 2011, 1316–1325.
  • [16] MUKHERJEE D., RAO B., PRASAD A., Cut-HDMR Based Fully Equivalent Operational Model for Analysis of Unreinforced Masonry Structure, Sadhana, 2012.
  • [17] MYERS R.H., MONTGOMERY D.C., Response Surface Methodology Process and Product Optimisation Using Design Experiments, John Wiley & Sons, New York, 1995.
  • [18] RABITZ H., OMER F., Alıs General foundations of high-dimensional model representations, Journal of Mathematical Chemistry, 1999, 25, 197–233 197.
  • [19] RACKWITZ R., Response surfaces in structural reliability, Berichte zur Zuverlässigkeitstheorie der Bauwerke, Heft 67, 1982, LKI, Technische Universität München.
  • [20] RAO B., CHOWDHURY R., Factorized high dimensional model representation for structural reliability analysis, Engineering Computations International Journal for Computer-Aided Engineering and Software, Vol. 25, No. 8, 2008, 708–738.
  • [21] RAO B., CHOWDHURYA R., Probabilistic Analysis Using High Dimensional Model Representation and Fast Fourier Transform, International Journal for Computational Methods in Engineering Science and Mechanics, 9, 2008, 342–357.
  • [22] SHORTER J.A., IP P.C., RABITZ H., An Efficient Chemical Kinetics Solver Using High Dimensional Model Representation, J. Phys. Chem. A, Vol. 103, 1999, 7192–7198.
  • [23] SOBOL I., Theorems and examples on high dimensional model representation, Reliability Engineering and System Safety, 79, 2003, 187–193.
  • [24] BAROTH J., BREYSSE D., SCHOEFS F. (eds.), Construction Reliability. Safety, Variability and Sustainability, Wiley, 2011.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-3f484549-b424-406b-9e60-11f8cf546a3f
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