A fast fuzzy finite element approach for laterally loaded pile in layered soils

  • Pham Hoang Anh Faculty of Building and Industrial Construction, National University of Civil Engineering, 55 Giai Phong road, Hai Ba Trung district, Hanoi, Vietnam

Abstract

A fuzzy finite element approach for static analysis of laterally loaded pile in multi-layer soil with uncertain properties is presented. The finite element (FE) formulation is established using a beam-on-two-parameter foundation model. Based on the developed FE model, uncertainty propagation of the soil parameters to the pile response is evaluated by mean of the α-cut strategy combined with a response surface based optimization technique. First order Taylor's expansion representing the pile responses is used to find the binary combinations of the fuzzy variables that result in extreme responses at an α-level. The exact values of the extreme responses are then determined by direct FE analysis at the found binary combinations of the fuzzy variables. The proposed approach is shown to be accurate and computationally efficient.

Article history: Received 05 October 2017, Revised 05 March 2018, Accepted 27 April 2018

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References

Fan, H. and Liang, R. (2012). Application of Monte Carlo simulation to laterally loaded piles. In Geo-Congress 2012: State of the Art and Practice in Geotechnical Engineering, 376–384.

Fan, H. and Liang, R. (2013). Performance-based reliability analysis of laterally loaded drilled shafts. Journal of Geotechnical and Geoenvironmental Engineering, 139(12):2020–2027.

Fan, H. and Liang, R. (2013). Reliability-based design of laterally loaded piles considering soil spatial variability. In Foundation Engineering in the Face of Uncertainty: Honoring Fred H. Kulhawy, 475–486.

Chan, C. L. and Low, B. K. (2009). Reliability analysis of laterally loaded piles involving nonlinear soil and pile behavior. Journal of Geotechnical and Geoenvironmental Engineering, 135(3):431–443.

Tandjiria, V., Teh, C. I., and Low, B. K. (2000). Reliability analysis of laterally loaded piles using response surface methods. Structural Safety, 22(4):335–355.

Chan, C. L. and Low, B. K. (2012). Probabilistic analysis of laterally loaded piles using response surface and neural network approaches. Computers and Geotechnics, 43:101–110.

Zadeh, L. A. (1965). Fuzzy set. Information Control, 8(1):338–353.

Moens, D. and Hanss, M. (2011). Non-probabilistic finite element analysis for parametric uncertainty treatment in applied mechanics: Recent advances. Finite Elements in Analysis and Design, 47(1):4–16.

Huynh, L. X. and Duy, L. C. (2013). An algorithm for solving basic equations of the finite element method with membership functions of fuzzy input parameters. Journal of Science and Technology in Civil Engineering, 6(3):45–53.

Tuan, N. H., Huynh, L. X., and Anh, P. H. (2015). A fuzzy finite element algorithm based on response surface method for free vibration analysis of structure. Vietnam Journal of Mechanics, 37(1):17–27.

Tuan, N. H., Huynh, L. X., and Anh, P. H. (2014). Fuzzy structural analysis subjected to harmonic forces using the improvement response surface method and assessing the safety level. Journal of Science and Technology in Civil Engineering (STCE)-NUCE, 8(3):12–21.

Moller, B., Graf, W., and Beer, M. (2000). Fuzzy structural analysis using α-level optimization. Computational Mechanics, 26(6):547–565.

Basu, D. and Salgado, R. (2007). Elastic analysis of laterally loaded pile in multi-layered soil. Geomechanics and Geoengineering: An International Journal, 2(3):183–196.

Vlasov, V. Z. and Leontév, N. N. (1966). Beams, plates and shells on elastic foundations. Israel Program for Scientific Translations, Jerusalem.

Reese, L. C. and Van Impe, W. F. (2010). Single piles and pile groups under lateral loading. A.A. Balkema: Rotterdam, Netherlands.

Anh, P. H. (2014). Fuzzy analysis of laterally-loaded pile in layered soil. Vietnam Journal of Mechanics, 36(3):173–183.

Basu, D., Salgado, R., and Prezzi, M. (2008). Analysis of laterally loaded piles in multilayered soil deposits. Joint Transportation Research Program, Department of Transportation and Purdue University, West Lafayette, Indiana.

Anh, P. H., Thanh, N. X., and Hung, N. V. (2014). Fuzzy structural analysis using improved differential evolutionary optimization. In Proceedings of the International Conference on Engineering Mechanics and Automation (ICEMA 3), Hanoi, 492–498.

Published
30-04-2018
How to Cite
Anh, P. (2018). A fast fuzzy finite element approach for laterally loaded pile in layered soils. Journal of Science and Technology in Civil Engineering (STCE) - NUCE, 12(3), 1-9. https://doi.org/10.31814/stce.nuce2018-12(3)-1