Evaluation of the pile interaction at vertical vibrations of foundation

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Abstract

The aim of the work - to research changes in the dynamic stiffness of pile foundations from the distance between the piles during vertical vibrations using experimental data from literature sources and solving wave models describing the vertical vibrations of a thin plate with round cuts. Methods. To verify the reliability of solutions of wave models describing changes in dynamic stiffness during vertical vibrations of pile foundations, it is used data obtained in experiments to determine the eigenfrequencies of 3×3 groups of friction piles with different distances between them. Also the data obtained from forced vertical oscillations of 2×2 groups of friction piles connected by pile-caps at different loads and distances between piles was used. In the processing of available amplitude-frequency curves for determining the dynamic stiffness the inverse problem is solved using the theory of nonlinear oscillations. The correspondence between the measured and predicted data is evaluated, when describing the behavior of the pile-ground system. Results. It is established that the relations that take into account the mutual influence of piles in the group, obtained in the framework of wave models solutions and used for calculating dynamic stiffness in vertical vibrations of pile foundations, allow us to obtain satisfactory results in accuracy. The deviation of the calculation results from the experimental data does not exceed 15%.

About the authors

Aleksei O. Kolesnikov

Novosibirsk State University of Architecture and Civil Engineering (Sibstrin)

Author for correspondence.
Email: ao_kolesnikov@mail.ru

Cand. Sc. (Technical), Associate Professor, Department of Engineering Geology, Bases and Foundations

113 Leningradskaya St, Novosibirsk, 630008, Russian Federation

Vladimir N. Popov

Khristianovich Institute of Theoretical and Applied Mechanics of SB RAS

Email: ao_kolesnikov@mail.ru

Dr. Sc. (Physics-Mathematical), chief researcher

4/1 Institutskaya St, Novosibirsk, 630090, Russian Federation

Tatiana N. Kostiuk

Novosibirsk State University of Architecture and Civil Engineering (Sibstrin)

Email: ao_kolesnikov@mail.ru

master student, Department of Engineering Geology, Bases and Foundations

113 Leningradskaya St, Novosibirsk, 630008, Russian Federation

References

  1. Prakash S., Puri V.K. Foundations for machines: analysis and design. NY: J. Wiley & Sons; 1988.
  2. Chowdhury I., Dasgupta S.P. Dynamics of Structures and Foundations: A Unified Approach: Fundamentals: 1. CRC Press, 2008.
  3. Pyateckij V.M., Aleksandrov B.K., Savinov O.A. Sovremennye fundamenty mashin i ikh avtomatizirovannoe proektirovanie [Modern foundations of machines and their computer design]. Moscow: Strojizdat Publ., 1993. (In Russ.)
  4. Savinov O.A. Sovremennye konstruktsii fundamentov pod mashiny i ikh raschet [Modern construction of foundations for machines and their calculation]. Leningrad: Strojizdat Publ.; 1979. (In Russ.)
  5. Guo W.D. Theory and practice of pile foundations. CRC Press; 2013.
  6. Novak M., El Sharnouby B. Evaluation of dynamic experiments on pile group. Journal of Geotechnical Engineering. 1984;110(6):738–756.
  7. Rashidifar M.A., Rashidifar A.A., Abertavi A. Nonlinear characteristics of the pile soil system under vertical vibration. Universal Journal of Engineering Science. 2016;(4):59–65.
  8. Manna B., Baidya D.K. Dynamic nonlinear response of pile foundations under vertical vibration – Theory versus experiment. Soil Dynamics and Earthquake Engineering. 2010;30:456–469.
  9. Das S.K., Manna B., Baidya D.K. Prediction of pile-separation length under vertical vibration using ANN. 14th Asian Regional Conference on Soil Mechanics and Geotechnical Engineering 2011. Hong Kong, China. 2013;2: 887–892.
  10. El Naggar M., Novak M. Nonlinear axial interaction in pile dynamics. Journal of Geotechnical Engineering ASCE. 1994;120(4):678–696.
  11. Matlock H., Foo S.H.C., Bryant L.M. Simulation of lateral pile behaviour under earthquake motion. Proc. ASCE. Specialty Conf. on Earthq. Eng. and Soil Dyn., XI. 1978:600–619.
  12. Novak M., Sheta M. Approximate approach to contact problems of piles. Proc: Dyn. Response of Pile Found: Analytical Aspects (p. 53–79). NY: ASCE; 1980.
  13. Veletsos A.S., Dotson K.W. Vertical and torsional vibration of foundations in inhomogeneous media. Jl. of Geotech. Eng., ASCE. 1988;114(9):1002–1021.
  14. Baranov V.A. O raschete vynuzhdennyikh kolebanij zaglublennogo fundamenta [On the calculation of forced oscillations of the deepening foundation]. Voprosy dinamiki i prochnosti: Trudy Rizhskogo politekhnicheskogo instituta. 1967;(14):195–209. (In Russ.)
  15. Nuzhdin L.V., Zabylin M.I. Zhestkost' i dempfirovanie vertikal'nykh kolebanij svajnogo fundamenta v sloistom osnovanii [Stiffness and damping of vertical vibrations of the pile foundation in a layered bases]. Izv. vuzov. Stroitel'stvo i arkhitektura. 1990;12:36–41. (In Russ.)
  16. Nuzhdin L.V., Genze P.A., Popov V.N. Otsenka dinamicheskikh reaktsij na konturakh neskol'kikh kruglykh vyrezov v beskonechnoj plastine [Estimation of dynamic reactions on the contours of several circular cuts in an infinite plate]. Izv. vuzov. Stroitel'stvo. 2005;4:47–53. (In Russ.)
  17. Wu W., Wang K., Zhang Z., Leo C. Soil-pile interaction in the pile vertical vibration considering true three-dimensional wave effect of soil. International Journal for Numerical and Analytical Methods in Geomechanics. 2013; 37(17):2860–2876.
  18. Medina C., Aznárez J., Padrón L., Maeso O. Effects of soil-structure interaction on the dynamic properties and seismic response of piled structures. Soil Dynamics and Earthquake Engineering. 2013;53:160–175.
  19. Allani M., Holeyman A. Numerical evaluation of effects of nonlinear lateral pile vibrations on nonlinear axial response of pile shaft. Soils and Foundations. 2013;53(3):395–407.
  20. Khalil M.M., Hassan A.M., Elmamlouk H.H. Dynamic behavior of pile foundations under vertical and lateral vibrations. HBRC Journal. 2019;15(1):55–71. DOI: 10.1080/ 16874048.2019.1676022.
  21. Amiri A.M., Ghanbari A.A., Derakhshandi M. An analytical model for estimating the vibration frequency of structures located on the pile group in the case of floating piles and end-bearing pile march. Civil Engineering Journal. 2018;4(2):450–468. doi: 10.28991/cej-0309105.
  22. Biswas S., Manna B. Experimental and theoretical studies on the nonlinear characteristics of soil-pile systems under coupled vibrations. Journal of Geotechnical and Geoenvironmental Engineering. 2018;144(3):04018007. doi: 10.1061/(ASCE)GT.1943-5606.0001850.
  23. Biswas S., Manna B., Baidya D.K. Experimental and theoretical study on the nonlinear response of full-scale single pile under coupled vibrations. Soil Dynamics and Earthquake Engineering. 2017;94:109–115. doi: 10.1016/j.soildyn. 2017.01.012.
  24. Gazetas G., Markis N. Dynamic pile-soil-pile interaction. Part I: Analysis of axial vibration. Earthquake Engineering and Structural Dynamics. 1991;20(2):115–132. DOI: 10.1002/ eqe.4290200203.
  25. Novak M. Dynamic Stiffness and Damping of Piles. Canadian Geotechnical Journal. 1974;11(4):574–598.
  26. Lamb H. On the propagation of tremors over the surface of an elastic solid. Philos. Trans. Roy. Soc. London, Ser. A. 1904;203:1–42.
  27. Kolesnikov A.O., Popov V.N. Estimation of dynamic responses on contours of several round cuts at vibrations of a thin plate. Structural Mechanics of Engineering Constructions and Buildings. 2014;3:37–43. (In Russ.)
  28. Kolesnikov A.O., Popov V.N. Dinamicheskie reaktsii na konturakh krugovykh vyrezov s uchetom ikh vzaimnogo raspolozheniya pri kolebaniyakh plastiny [Dynamic reactions on contours of circular cuts taking into account their mutual arrangement at plate oscillations]. Izvestiya VNIIG imeni B.Ye. Vedeneeva. 2017;283:3–10. (In Russ.)
  29. Kolesnikov A.O., Popov V.N., Kostiuk T.N. Issledovanie vliyaniya zaglubleniya i raspolozheniya svaj na sobstvennye chastoty pri kolebaniyakh fundamentov [Investigation of the influence of deepening and piles location on natural frequencies during foundation vibrations]. Izvestiya vuzov. Stroitel'stvo. 2019;5:39–52. (In Russ.)
  30. Kolesnikov А.О., Kostiuk T.N., Popov V.N. Calculation of foundation vertical stiffness with the piles mutual influence effect. Structural Mechanics of Engineering Constructions and Buildings. 2019;15(3):229–236. http://dx.doi.org/ 10.22363/1815-5235-2019-15-3-229-236 (In Russ.)
  31. Manna B., Baidya D.K. Nonlinear vertical dynamic response of pile groups. Proceedings of the 17th International Conference on Soil Mechanics and Geotechnical Engineering. 2009:1128–1131. doi: 10.3233/978-1-60750-031-5-1128.
  32. Novak M. Data reduction from nonlinear response curves. Journal of Engineering Mechanics, ASCE, 97(EM4). 1971:1187–1204.
  33. Lorenz H. Elasticity and damping effects of oscillating bodies on soil. Symposium on Dynamic Testing on Soils, ASTM STP. 1953;156:113–122.

Copyright (c) 2020 Kolesnikov A.O., Popov V.N., Kostiuk T.N.

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