Skip to main content
Log in

Modeling oblique load carrying capacity of batter pile groups using neural network, random forest regression and M5 model tree

  • Research Article
  • Published:
Frontiers of Structural and Civil Engineering Aims and scope Submit manuscript

Abstract

M5 model tree, random forest regression (RF) and neural network (NN) based modelling approaches were used to predict oblique load carrying capacity of batter pile groups using 247 laboratory experiments with smooth and rough pile groups. Pile length (L), angle of oblique load (α), sand density (ρ), number of batter piles (B), and number of vertical piles (V) as input and oblique load (Q) as output was used. Results suggest improved performance by RF regression for both pile groups. M5 model tree provides simple linear relation which can be used for the prediction of oblique load for field data also. Model developed using RF regression approach with smooth pile group data was found to be in good agreement for rough piles data. NN based approach was found performing equally well with both smooth and rough piles. Sensitivity analysis using all three modelling approaches suggest angle of oblique load (α) and number of batter pile (B) affect the oblique load capacity for both smooth and rough pile groups.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Tschebotarioff G P. The resistance to lateral loading of single piles and pile groups. Special Publication, 1953, 154: 38–48

    Google Scholar 

  2. Murthy V N. Behaviour of battered piles embedded in sand subjected to lateral loads. In: Proceedings of the Symposium on Bearing Capacity of Piles. Roorkee, 1964, 142–153

    Google Scholar 

  3. Prakash S, Subramanyam G. Behaviour of battered piles under lateral loads. Journal Indian National Society of Soil Mechanics and Foundation Engineering, 1965, 4(2): 177–196

    Google Scholar 

  4. Ranjan G, Ramasamy G, Tyagi R P. Lateral response of batter piles and pile bents in clay. Indian Geotechnical Journal, 1980, 10(2): 135–142

    Google Scholar 

  5. Lu S S. Design load of bored pile laterally loaded. In: Proceedings of the l0th International Conference on Soil Mechanics and Foundation Engineering. 1981, 767–777

    Google Scholar 

  6. Veeresh C. Behaviour of batter anchor piles in marine clay subjected to vertical pull out. In: Proceedings of the Sixth International Offshore and Polar Engineering Conference. 1996

    Google Scholar 

  7. Meyerhof G G. The uplift capacity of foundations under oblique loads. Canadian Geotechnical Journal, 1973, 10(1): 64–70

    Article  Google Scholar 

  8. Awad A, Ayoub A. Ultimate uplift capacity of vertical and inclined piles in cohesionless soil. In: Proceedings of the 5th International Conference on Soil Mechanics and Foundation Engineering. Budapest, 1976, 221–227

    Google Scholar 

  9. Meyerhof G G. Uplift resistance of inclined anchors and piles. International Journal of Rock Mechanics and Mining Science & Geomechanics Abstracts, 1975, 12(7): 97

    Article  Google Scholar 

  10. Chattopadhyay B C, Pise P J. Axial uplift capacity of inclined piles. Indian Geotechnical Journal, 1986, 16(3): 197–214

    Google Scholar 

  11. Bose K K, Krishnan A. Pullout capacity of model piles in sand. Indian Geotechnical Society Chennai Chapter, 2009, 49–54

    Google Scholar 

  12. Nazir A, Nasr A. Pullout capacity of batter pile in sand. Journal of Advanced Research, 2013, 4(2): 147–154

    Article  Google Scholar 

  13. Sharma B, Zaheer S, Hussain Z. Experimental model for studying the performance of vertical and batter micropiles. In: Proceedings of Geo-Congress. Atlanta, 2014, 4252–4264

    Google Scholar 

  14. Teng W C, Flucker R L, Graham J S. Design of steel pile foundations for transmission owers. IEEE Transactions on Power Apparatus and Systems, 1970, PAS-89(3): 399–411

    Article  Google Scholar 

  15. Al-Shakarchi Y J, Fattah M Y, Kashat I K. The behaviour of batter piles under uplift loads. In: Proceedings of International Conference on Geotechnical Engineering. 2004, 105–114

    Google Scholar 

  16. Mroueh H, Shahrour I. Numerical analysis of the response of battered piles to inclined pullout loads. International Journal for Numerical and Analytical Methods in Geomechanics, 2009, 33(10): 1277–1288

    Article  MATH  Google Scholar 

  17. Bhardwaj S, Singh S K. Ultimate capacity of battered micropiles under oblique pullout loads. International Journal of Geotechnical Engineering, 2015, 9(2): 190–200

    Article  Google Scholar 

  18. Rajashree S S. Nonlinear cyclic analysis of laterally loaded pile in clay. Dissertation for the Doctoral Degree. Madras: Indian Institute of Technology, 1997

    Google Scholar 

  19. Sabry M. Shaft resistance of a single vertical or batter pile in sand subjected to axial compression or uplift loading. Thesis for the Master’s Degree. Montreal: Concordia University, 2011

    Google Scholar 

  20. Hanna A, Sabry M. Trends in pullout behavior of batter piles in sand. In: Proceedings of the 82nd Annual Meeting of the Transportation Research Board. 2003

    Google Scholar 

  21. Giannakou A, Gerolymos N, Gazetas G, Tazoh T, Anastasopoulos I. Seismic behavior of batter piles: Elastic response. Journal of Geotechnical and Geoenvironmental Engineering, 2010, 136(9): 1187–1199

    Article  Google Scholar 

  22. Johnson K. Load-deformation behaviour of foundations under vertical and oblique loads. Dissertation for the Doctoral Degree. Townsville: James Cook University, 2005

    Google Scholar 

  23. Ramadan M I, Butt S D, Popescu R. Finite element modeling of offshore anchor piles under mooring forces. In: Proceedings of 62nd Canadian Geotechnical Society Conference. Geo Halifax, 2009, (9): 785–792

    Google Scholar 

  24. Achmus M, Thieken K. On the behavior of piles in non-cohesive soil under combined horizontal and vertical loading. Acta Geotechnica, 2010, 5(3): 199–210

    Article  Google Scholar 

  25. Trochanis AM, Bielak J, Christiano P. Three-dimensional nonlinear study of piles. Journal of Geotechnical Engineering, 1991, 117(3): 429–447

    Article  Google Scholar 

  26. Rajashree S S, Sundaravadivelu R. Degradation model for one-way cyclic lateral load on piles in soft clay. Computers and Geotechnics, 1996, 19(4): 289–300

    Article  Google Scholar 

  27. Rajashree S S, Sitharam T G. Nonlinear cyclic load analysis for lateral response of batter piles in soft clay with a rigorous degradation model. In: Proceedings of International Conference on Offshore and Nearshore Geotechnical Engineering. New Delhi, 2000

    Google Scholar 

  28. Chan W T, Chow Y K, Liu L F. Neural network: An alternative to pile driving formulas. Computers and Geotechnics, 1995, 17(2): 135–156

    Article  Google Scholar 

  29. Chow Y K, Chan W T, Liu L F, Lee S L. Prediction of pile capacity from stress-wave measurements: A neural network approach. International Journal for Numerical and Analytical Methods in Geomechanics, 1995, 19(2): 107–126

    Article  MATH  Google Scholar 

  30. Goh A T. Pile driving records reanalyzed using neural networks. Journal of Geotechnical Engineering, 1996, 122(6): 492–495

    Article  Google Scholar 

  31. Teh C I, Wong K S, Goh A T, Jaritngam S. Prediction of pile capacity using neural networks. Journal of Computing in Civil Engineering, 1997, 11(2): 129–138

    Article  Google Scholar 

  32. Lok T M H, Che W F. Axial capacity prediction for driven piles using ANN: Model comparison. In: Proceedings of Geotechnical Engineering for Transportation Projects. Los Angeles, 2004, 697–704

    Chapter  Google Scholar 

  33. Etemad-Shahidi A, Ghaemi N. Model tree approach for prediction of pile groups scour due to waves. Ocean Engineering, 2011, 38(13): 1522–1527

    Article  Google Scholar 

  34. Pal M, Singh N K, Tiwari N K. Pier scour modelling using random forest regression. ISH Journal of Hydraulic Engineering, 2013, 19(2): 69–75

    Article  Google Scholar 

  35. Singh G, Sachdeva S N, Pal M. M5 model tree based predictive modeling of road accidents on non-urban sections of highways in India. Accident Analysis and Prevention, 2016, 96: 108–117

    Article  Google Scholar 

  36. Bhattacharya B, Solomatine D P. Neural networks and M5 model trees in modelling water level-discharge relationship. Neurocomputing, 2005, 63: 381–396

    Article  Google Scholar 

  37. Solomatine D P, Xue Y. M5 model trees and neural networks: Application to flood forecasting in the upper reach of the Huai River in China. Journal of Hydrologic Engineering, 2004, 9(6): 491–501

    Article  Google Scholar 

  38. Leshem G, Ritov Y. Traffic flow prediction using AdaBoost algorithm with random forests as a weak learner. International Journal of Intelligent Technology, 2007, 19: 193–198

    Google Scholar 

  39. Hamdia K M, Msekh M A, Silani M, Vu-Bac N, Zhuang X, Nguyen-Thoi T, Rabczuk T. Uncertainty quantification of the fracture properties of polymeric nanocomposites based on phase field modeling. Composite Structures, 2015, 133: 1177–1190

    Article  Google Scholar 

  40. Badawy M F, Msekh M A, Hamdia K M, Steiner M K, Lahmer T, Rabczuk T. Hybrid nonlinear surrogate models for fracture behavior of polymeric nanocomposites. Probabilistic Engineering Mechanics, 2017, 50: 64–75

    Article  Google Scholar 

  41. Hamdia K M, Silani M, Zhuang X, He P, Rabczuk T. Stochastic analysis of the fracture toughness of polymeric nanoparticle composites using polynomial chaos expansions. International Journal of Fracture, 2017, 206(2): 215–227

    Article  Google Scholar 

  42. Vu-Bac N, Lahmer T, Keitel H, Zhao J, Zhuang X, Rabczuk T. Stochastic predictions of bulk properties of amorphous polyethylene based on molecular dynamics simulations. Mechanics of Materials, 2014, 68: 70–84

    Article  Google Scholar 

  43. Vu-Bac N, Lahmer T, Zhang Y, Zhuang X, Rabczuk T. Stochastic predictions of interfacial characteristic of polymeric nanocomposites (PNCs). Composites. Part B, Engineering, 2014, 59: 80–95

    Article  Google Scholar 

  44. Vu-Bac N, Lahmer T, Zhuang X, Nguyen-Thoi T, Rabczuk T. A software framework for probabilistic sensitivity analysis for computationally expensive models. Advances in Engineering Software, 2016, 100: 19–31

    Article  Google Scholar 

  45. Vu-Bac N, Silani M, Lahmer T, Zhuang X, Rabczuk T. A unified framework for stochastic predictions of mechanical properties of polymeric nanocomposites. Computational Materials Science, 2015, 96: 520–535

    Article  Google Scholar 

  46. Vu-Bac N, Rafiee R, Zhuang X, Lahmer T, Rabczuk T. Uncertainty quantification for multiscale modeling of polymer nanocomposites with correlated parameters. Composites. Part B, Engineering, 2015, 68: 446–464

    Article  Google Scholar 

  47. Quinlan J R. Learning with continuous classes. In: Proceedings of the 5th Australian Joint Conference on Artificial Intelligence. 1992, 92: 343–348

    Google Scholar 

  48. Breiman L. Bagging predictors. Machine Learning, 1996, 24(2): 123–140

    MATH  Google Scholar 

  49. Breiman L, Friedman J H, Olshen R A, Stone C J. Classification and Regression Trees. Monterey: Wadsworth & Brooks/Cole Advanced Books & Software, 1984

    MATH  Google Scholar 

  50. Ismail A, Jeng D S, Zhang L L. An optimised product-unit neural network with a novel PSO-BP hybrid training algorithm: Applications to load-deformation analysis of axially loaded piles. Engineering Applications of Artificial Intelligence, 2013, 26(10): 2305–2314

    Article  Google Scholar 

  51. Shahin M A. Load-settlement modeling of axially loaded steel driven piles using CPT-based recurrent neural networks. Soil and Foundation, 2014, 54(3): 515–522

    Article  Google Scholar 

  52. Goh A T, Zhang W G. An improvement to MLR model for predicting liquefaction-induced lateral spread using multivariate adaptive regression splines. Engineering Geology, 2014, 170: 1–10

    Article  Google Scholar 

  53. Haykin S. Neural Networks: A Comprehensive Foundation. 2nd ed. Upper Saddle River: Prentice-Hall, 1999

    MATH  Google Scholar 

  54. Zikmund W G, Babin B J, Carr J C, Griffin M. Business Research Methods. Boston: Cengage Learning, 2013

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Tanvi Singh.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Singh, T., Pal, M. & Arora, V.K. Modeling oblique load carrying capacity of batter pile groups using neural network, random forest regression and M5 model tree. Front. Struct. Civ. Eng. 13, 674–685 (2019). https://doi.org/10.1007/s11709-018-0505-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11709-018-0505-3

Keywords

Navigation