Abstract
This paper proposes design charts for estimating imperative input parameters for continuum approach analysis of the nonlinear dynamic response of piles. Experimental and analytical studies using continuum approach have been conducted on single and 2 × 2 grouped piles under coupled and vertical modes of vibration, for different dynamic forces and pile depth. As these design charts are derived from model piles, the charts have been validated for prototype pile foundations using scaling law. The experimental responses of model piles are scaled up and these responses exhibit good agreement with analytical results. This study also extends to estimation of the errors in computing frequency–amplitude responses with an increase in pile length. It is found that, with an increase in pile length, the errors also increase. The effectiveness of the proposed design charts is also checked with data based on different field setups given in existing literature, and these charts are found to be valid. Thus, the developed design charts can be beneficial in estimating the input parameters for continuum approach analysis for determining the nonlinear responses of pile supported machine foundations.
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References
Barkan D D. Dynamics of Bases and Foundations. New York: McGraw-Hill Book Co., 1962
Maxwell A A, Fry Z B, Poplin J K. Vibratory loading of pile foundations. Special Technical Publication, ASTM, 1969, 444: 338–361
Matlock H, Foo S H, Bryant L L. Simulation of lateral pile behaviour under earthquake motion. Proceedings of Earthquake Engineering and Soil Dynamics–Sponsored by Geotechnical Engineering Division of ASCE, 1978, 1: 600–619
Rajkumar K, Ayothiraman R, Matsagar V A. Effects of soil–structure interaction on dynamic response of framed machine foundation resting on raft and piles. Practice Periodical on Structural Design and Construction, 2021, 26(3): 04021022
Winkler E. The Doctrine of Elasticity and Strength. Berlin: Springer-Verlag, 1876, 182
Allotey N, El Naggar M H. Generalized dynamic Winkler model for nonlinear soil–structure interaction analysis. Canadian Geotechnical Journal, 2008, 45(4): 560–573
Sutaih G H, Aggour M S. A numerical model for analysis of a pile subjected to horizontal dynamic loading in elastic homogeneous and nonhomogeneous soils. Arabian Journal of Geosciences, 2022, 15(11): 1085
Watanabe H, Maheshwari B K. Nonlinear dynamic behavior of pile foundations: effects of separation at the soil–pile interface. Japanese Geotechnical Society, 2006, 46(4): 437–448
Jebur M M, Ahmed M D, Karkush M O. Numerical analysis of under-reamed pile subjected to dynamic loading in sandy soil. IOP Conference Series. Materials Science and Engineering, 2020, 671(1): 012084
Kuhlemeyer R L. Vertical vibration of piles. J.Geotech Eng Div, ASCE, 1979, 105(2): 237–287
Bryden C, Arjomandi K, Valsangkar A. Dynamic axial response of tapered piles including material dam**. Practice Periodical on Structural Design and Construction, 2020, 25(2): 04020001
Messioud S, Dias D, Sbartai B. Influence of the pile toe condition on the dynamic response of a group of pile foundations. International Journal of Advanced Structural Engineering, 2019, 11(1): 55–66
Bharathi M, Dubey R N, Shukla S K. Numerical simulation of the dynamic response of batter piles and pile groups. Bulletin of Earthquake Engineering, 2022, 20(7): 3239–3263
Alzabeebee S, Chavda J T, Keawsawasvong S. Analysis of bored pile subjected to machine vibration: An insight into the influence of the soil–pile interface coefficient. Transportation Infrastructure Geotechnology, 2023, 10(5): 871–887
Ali O S, Aggour M S, McCuen R H. Dynamic soil–pile interactions for machine foundations. International Journal of Geotechnical Engineering, 2017, 11(3): 236–247
Khalil M M, Hassan A M, Elmamlouk H H. Dynamic behaviour of pile foundations under vertical and lateral vibrations. HBRC Journal, 2019, 15(1): 55–71
Qu L, Ding X, Wu C, Long Y, Yang J. Effects of topography on dynamic responses of single piles under vertical cyclic loading. Journal of Mountain Science, 2020, 17(1): 230–243
Sudip B. Design recommendations for pile subjected to cyclic load. Marine Georesources and Geotechnology, 2015, 33(4): 356–360
Nimbalkar S, Sudip B. Pile group in clay subjected to cyclic lateral load: Numerical modelling and design recommendation. Marine Georesources and Geotechnology, 2022, 1–21
Barros P L A. Dynamic axial response of single piles embedded in transversely isotropic soils. In: Proceedings of the 16th ASCE Engineering Mechanics Conference. Seattle: ASCE, 2003, 1–6
Padron L A, Aznarez J J, Maeso O. Dynamic analysis of piled foundations in stratified soils by a BEM-FEM model. Soil Dynamics and Earthquake Engineering, 2008, 28(5): 333–346
Alzabeebee S, Keawsawasvong S. Dynamic response of a machine foundation using different soil constitutive models. Transportation Infrastructure Geotechnology, 2023, 1–20
Novak M, Aboul-Ella F. Impedance functions of piles in layered media. Journal of the Engineering Mechanics Division, 1978a, 104(3): 643–661
Nogami T, Novak M. Resistance of soil to a horizontally vibrating pile. Earthquake Engineering & Structural Dynamics, 1977, 5(3): 249–261
Novak M, Howell J F. Torsional vibration of pile foundation. Journal of Geotechnical Engineering, 1977, 103(4): 271–285
Novak M, Sheta M. Approximate approach to contact effects of piles. In: Proceedings of Dynamic Response of Pile Foundations: Analytical Aspects, O’Neill M. New York: ASCE, 1980, 53–79
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
Biswas S, Ralli R, Manna B, Choudhary S S, Datta M. Vertical nonlinear response of single and 2 × 2 group pile under strong harmonic excitation. Sādhanā, 2022, 47(1): 19
Manna B, Baidya D K. Vertical vibration of full-scale pile—Analytical and experimental study. Journal of Geotechnical and Geoenvironmental Engineering, 2009, 135(10): 1452–1461
Manna B, Baidya D K. Dynamic response of pile foundations under coupled vibration. Indian Geotechnical Journal, 2010, 40(1): 1–12
Kokusho T, Iwatate T. Scaled model tests and numerical analyses on nonlinear dynamic response of soft grounds. In: Proceedings of Japanese Society of Civil Engineers, 1979, 285: 57–67
Roscoe K H. Soils and model tests. Journal of Strain Analysis, 1968, 3(1): 57–64
Wood D M. Geotechnical Modelling. Calabasas: CRC Press, 2004
Bharathi M, Dubey R N, Shukla S K. Dynamic response of underreamed batter piles subjected to vertical vibration. International Journal of Geotechnical Engineering, 2022, 16(8): 991–999
Kumar A, Choudhary S S, Burman A. Machine-induced vertical responses of single and pile groups: Experimental and theoretical study. International Journal of Geotechnical Earthquake Engineering, 2022, 13(1): 1–17
Ye Z, Yong A Z. Vertical dynamic response of a pile embedded in layered transversely isotropic unsaturated soils. Journal of Geotechnical and Geoenvironmental Engineering, 2022, 148(1): 04021169
Cao G, Wang X, He C. Dynamic analysis of a laterally loaded rectangular pile in multi-layered viscoelastic soil. Soil Dynamics and Earthquake Engineering, 2023, 165: 107695
Elkasabgy M, El Naggar M H. Dynamic response of vertically loaded helical and driven steel piles. Canadian Geotechnical Journal, 2013, 50(5): 521–535
Novak N, Mitwally H. Random response of offshore towers with pile–soil–pile interaction. Journal of Offshore Mechanics and Arctic Engineering, 1990, 112(1): 35–41
DYNA 5: A computer program for calculation of foundation response to dynamic loads. London: Geotechnical Research Centre, University of Western Ontario, 1999
Novak M. Dynamic stiffness and dam** of piles. Canadian Geotechnical Journal, 1974, 11(4): 574–598
Novak M, El Sharnouby B. Stiffness constants of single piles. Journal of Geotechnical Engineering, 1983, 109(7): 961–974
Poulos H G. Behavior of laterally loaded piles: II-pile groups. Journal of the Soil Mechanics and Foundations Division, 1971, 97(5): 733–751
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Sudhi, D., Biswas, S. & Manna, B. Development of design charts to predict the dynamic response of pile supported machine foundations. Front. Struct. Civ. Eng. 18, 663–679 (2024). https://doi.org/10.1007/s11709-024-1024-z
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DOI: https://doi.org/10.1007/s11709-024-1024-z