Ultimate bearing capacity prediction of shallow foundations on cohesionless soils using neurofuzzy models

Abstract This study explores the potential of neurofuzzy computing paradigm to predict the ultimate bearing capacity of shallow foundations on cohesionless soils. The neurofuzzy models combine the transparent, linguistic representation of a fuzzy system with the learning ability of Artificial Neural Networks (ANNs). The data from 97 load tests on footings (with sizes corresponding to those of real footings and smaller sized model footings) were used to calibrate and test the model. Performance of neurofuzzy model was comprehensively evaluated with that of independent fuzzy and ANN models developed using the same data. The values of the performance evaluation measures such as coefficient of correlation, root mean square error, coefficient of efficiency, mean bias error, relative error and mean absolute relative error obtained through the neurofuzzy model are found to be good, which reveals that the neurofuzzy model can be effectively used for the bearing capacity prediction. The values of performance measures obtained for ANN and fuzzy models indicate that the neurofuzzy model significantly outperforms both fuzzy and ANN models. The predicted bearing capacity values obtained through the developed neurofuzzy, ANN and fuzzy models are compared with the values predicted by most commonly used bearing capacity theories. The results indicate that all the three models (i.e., neurofuzzy, ANN, fuzzy) perform better than the theoretical methods.

[1]  George Geoffrey Meyerhof,et al.  Some recent research on the bearing capacity of foundations , 1963 .

[2]  Holger R. Maier,et al.  Settlement prediction of shallow foundations on granular soils using B-spline neurofuzzy models , 2003 .

[3]  Holger R. Maier,et al.  ARTIFICIAL NEURAL NETWORK APPLICATIONS IN GEOTECHNICAL ENGINEERING , 2001 .

[4]  Philipp Slusallek,et al.  Introduction to real-time ray tracing , 2005, SIGGRAPH Courses.

[5]  Rodrigo Salgado,et al.  Assessment of Variable Uncertainties for Reliability-Based Design of Foundations , 2006 .

[6]  Geoffrey E. Hinton,et al.  Learning internal representations by error propagation , 1986 .

[7]  Tommi Ojala,et al.  Neuro-fuzzy systems in control , 1995 .

[8]  Ebrahim H. Mamdani,et al.  An Experiment in Linguistic Synthesis with a Fuzzy Logic Controller , 1999, Int. J. Hum. Comput. Stud..

[9]  Laurene V. Fausett,et al.  Fundamentals Of Neural Networks , 1994 .

[10]  Mark B. Jaksa,et al.  Neural network prediction of pullout capacity of marquee ground anchors , 2005 .

[11]  D. Mackay,et al.  Bayesian methods for adaptive models , 1992 .

[12]  M. Sugeno,et al.  Structure identification of fuzzy model , 1988 .

[13]  K. P. Sudheer,et al.  A neuro-fuzzy computing technique for modeling hydrological time series , 2004 .

[14]  Vijay K. Rohatgi,et al.  Advances in Fuzzy Set Theory and Applications , 1980 .

[15]  Chuen-Tsai Sun,et al.  Neuro-fuzzy modeling and control , 1995, Proc. IEEE.

[16]  Michio Sugeno,et al.  Fuzzy identification of systems and its applications to modeling and control , 1985, IEEE Transactions on Systems, Man, and Cybernetics.

[17]  Jyh-Shing Roger Jang,et al.  ANFIS: adaptive-network-based fuzzy inference system , 1993, IEEE Trans. Syst. Man Cybern..

[18]  Alberto Tesi,et al.  On the Problem of Local Minima in Backpropagation , 1992, IEEE Trans. Pattern Anal. Mach. Intell..

[19]  Ashu Jain,et al.  Short-Term Water Demand Forecast Modelling at IIT Kanpur Using Artificial Neural Networks , 2001 .

[20]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[21]  Yahachiro Tsukamoto,et al.  AN APPROACH TO FUZZY REASONING METHOD , 1993 .

[22]  Aleksandar S. Vesic,et al.  Analysis of Ultimate Loads of Shallow Foundations , 1973 .

[23]  K. Terzaghi Theoretical Soil Mechanics , 1943 .

[24]  J. Brinch Hansen AKADEMIET FOR DE TEKNISKE VIDENSKABER , 2008 .

[25]  C. H. Juang,et al.  A fuzzy neural network approach to evaluation of slope failure potential , 1996 .

[26]  Miguel P. Romo,et al.  Neurofuzzy mapping of CPT values into soil dynamic properties , 2003 .

[27]  Fumio Tatsuoka,et al.  Progressive Failure and Particle Size Effect in Bearing Capacity of a Footing on Sand , 1991 .

[28]  Jacek Tejchman,et al.  A "CLASS A" PREDICTION OF THE BEARING CAPACITY OF PLANE STRAIN FOOTINGS ON SAND , 1999 .

[29]  Anthony T. C. Goh,et al.  A hybrid Bayesian back‐propagation neural network approach to multivariate modelling , 2003 .

[30]  S. Jain,et al.  Radial Basis Function Neural Network for Modeling Rating Curves , 2003 .

[31]  De Beer,et al.  THE SCALE EFFECT ON THE PHENOMENON OF PROGRESSIVE RUPTURE IN COHESIONLESS SOILS , 1965 .

[32]  Nabil F. Ismael,et al.  PROPERTIES AND BEHAVIOR OF CEMENTED SAND DEPOSITS IN KUWAIT , 1999 .

[33]  Jean-Louis Briaud,et al.  Behavior of Five Large Spread Footings in Sand , 1999 .

[34]  Michio Sugeno,et al.  A fuzzy-logic-based approach to qualitative modeling , 1993, IEEE Trans. Fuzzy Syst..

[35]  Jacek M. Zurada,et al.  Introduction to artificial neural systems , 1992 .

[36]  Stephen L. Chiu,et al.  Fuzzy Model Identification Based on Cluster Estimation , 1994, J. Intell. Fuzzy Syst..

[37]  Hyu-Soung Shin,et al.  Artificial intelligence v. equations , 2004 .

[38]  Asaad Y. Shamseldin,et al.  A non-linear combination of the forecasts of rainfall-runoff models by the first-order Takagi–Sugeno fuzzy system , 2001 .