Hysteretic Damping of Piles in Sands for Offshore Wind Jacket Structures
Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 150, Issue 4
Abstract
This paper presents a study on the hysteretic damping of cyclic axially loaded piles in sand that would be of particular interest to the design and analysis of offshore wind turbine (OWT) jacket structures. Foundation damping can help to reduce fatigue loads thereby leading to leaner designs and/or extended design life. Damping has been studied in laterally loaded OWT monopiles, but there is little information and guidance for estimating damping for axially loaded piles in an OWT jacket structure. The objective of this study was to (1) document hysteretic damping in axially loaded pipe piles in sands and (2) develop a simple and practical numerical approach for predicting the hysteretic damping (and stiffness) properties for dynamic numerical analysis of the OWT structure. First, existing low-frequency pile load test data are compiled from the literature and analyzed to evaluate the hysteretic damping. Second, a simple quasi-static equivalent linear modeling approach is described that can be used to predict hysteretic damping at the pile head using a conventional static t-z analysis. The axial stiffness and damping ratios predicted for the test piles at the pile head compared very well to the observed pile data when the maximum interface friction was accurately predicted.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
This study was partially funded by the Bureau of Safety and Environmental Enforcement (BSEE), U.S. Department of the Interior, Washington, D.C., under Contract 140E0119C0003 and through the support of the Rhode Island Coastal Resources Management Council (CRMC). A special thanks to Dr. Jamie Standing and Dr. Richard Jardine of Imperial College London and Dr. David Igoe of Trinity College Dublin, for compiling and sharing the load test data in electronic form.
References
Akiyoshi, G. 1982. “Soil–pile interaction in vertical vibration induced through a frictional interface.” Earthquake Eng. Struct. Dyn. 10 (1): 135–148. https://doi.org/10.1002/eqe.4290100110.
Anoyatis, G., and G. Mylonakis. 2012. “Dynamic Winkler modulus for axially loaded piles.” Géotechnique 62 (6): 521–536. https://doi.org/10.1680/geot.11.P.052.
API (American Petroleum Institute). 2007. Recommended practice for planning, designing and constructing fixed offshore platforms-working stress design. Washington, DC: API.
Bradshaw, A. S. 2022. “Approach to estimate hysteretic soil damping in piled jacket structures.” In Geo-Congress 2022: Deep Foundations, Earth Retention, and Underground Construction, Geotechnical Special Publication 332, edited by J. A. Lemnitzer and A. W. Stuedlein, 238–244. Reston, VA: ASCE.
Bryden, C., K. Arjomandi, and A. Valsangkar. 2020. “Dynamic axial response of tapered piles including material damping.” Pract. Period. Struct. Des. Constr. 5 (2): 04020001. https://doi.org/10.1061/(ASCE)SC.1943-5576.0000467.
Carswell, W., S. R. Arwade, J. Johansson, and D. J. DeGroot. 2022. “Influence of foundation damping on offshore wind turbine monopile design loads.” Mar. Struct. 83 (May): 103154. https://doi.org/10.1016/j.marstruc.2021.103154.
Carswell, W., J. Johansson, F. Løvholt, S. R. Arwade, C. Madshus, D. J. DeGroot, and A. T. Myers. 2015. “Foundation damping and the dynamics of offshore wind turbine monopoles.” Renewable Energy 80 (Aug): 724–736. https://doi.org/10.1016/j.renene.2015.02.058.
Chin, J. T., and H. G. Poulos. 1991. “A ‘T-Z’ approach for cyclic axial loading analysis of single piles.” Comput. Geotech. 12 (4): 289–320. https://doi.org/10.1016/0266-352X(91)90027-D.
Darendeli, B. M. 2001. “Development of a new family of normalized modulus reduction and material damping curves.” Ph.D. dissertation, Dept. of Civil, Architectural, and Environmental Engineering, Univ. of Texas at Austin.
El Naggar, M., and M. Novak. 1994. “Non-linear model for dynamic axial pile response.” J. Geotech. Eng. 120 (2): 308–329. https://doi.org/10.1061/(ASCE)0733-9410(1994)120:2(308).
Fakharian, K., and E. Evgin. 1997. “Cyclic simple-shear behavior of sand-steel interfaces under constant normal stiffness condition.” J. Geotech. Geoenviron. Eng. 123 (12): 1096–1105. https://doi.org/10.1061/(ASCE)1090-0241(1997)123:12(1096).
Gupta, B. K., and D. Basu. 2018. “Dynamic analysis of axially loaded end-bearing pile in a homogeneous viscoelastic soil.” Soil Dyn. Earthquake Eng. 111 (Aug): 31–40. https://doi.org/10.1016/j.soildyn.2018.04.019.
Igoe, D., and K. Gavin. 2019. “Characterization of the Blessington sand geotechnical test site.” AIMS Geosci. 5 (2): 145–162. https://doi.org/10.3934/geosci.2019.2.145.
Igoe, D., and K. Gavin. 2021. “Investigation of cyclic loading of aged piles in sand.” J. Geotech. Geoenviron. Eng. 147 (4): 04021011. https://doi.org/10.1061/(ASCE)GT.1943-5606.0002451.
Ishibashi, I., and X. Zhang. 1993. “Unified dynamic shear moduli and damping ratios of sand and clay.” Soils Found. 33 (1): 182–191. https://doi.org/10.3208/sandf1972.33.182.
Jardine, R. J., and J. R. Standing. 2000. Pile load testing performed for HSE cyclic loading study at Dunkirk, France. Merseyside, UK: Health & Safety Executive.
Jardine, R. J., and J. R. Standing. 2012. “Field axial cyclic loading experiments on piles driven in sand.” Soils Found. 52 (4): 723–736. https://doi.org/10.1016/j.sandf.2012.07.012.
Kaynia, A. M., A. Lokke, A. M. Page, and K. S. Skau. 2018. REDWIN—Reducing cost of offshore wind by integrated structural and geotechnical design. 3D foundation library. Rep. No. 20150014-11-R. Oslo, Norway: Norwegian Geotechnical Institute.
Kramer, S. L. 1996. Geotechnical earthquake engineering. Hoboken, NJ: Prentice Hall.
Kulhawy, F., and P. Mayne. 1990. Manual on estimating soil properties for foundation design. Palo Alto, CA: Electric Power Research Institute.
Lehane, B., J. Schneider, and X. Xu. 2005. “The UWA-05 method for prediction of axial capacity of driven piles in sand.” In Frontiers in Offshore Geotechnics ISFOG 2005: Proc., First Int. Symp. on Frontiers in Offshore Geotechnics, edited by S. Gourvenec and M. Cassidy. 683–689. London: Taylor & Francis.
Løvholt, F., C. Madshus, and K. H. Andersen. 2019. “Intrinsic soil damping from laboratory tests with average strain development.” Geotech. Test. J. 43 (1): 194–210. https://doi.org/10.1520/GTJ20170411.
Malekjafarian, A., S. Jalilvand, P. Doherty, and D. Igoe. 2021. “Foundation damping for offshore wind turbines on monopile supports: A review.” Mar. Struct. 77 (May): 102937. https://doi.org/10.1016/j.marstruc.2021.102937.
Menq, F. Y. 2003. “Dynamic properties of sandy and gravelly soils.” Ph.D. dissertation, Dept. of Civil, Architectural, and Environmental Engineering, Univ. of Texas at Austin.
Michaelidis, O., G. Gezetas, G. Bouckovalas, and E. Chrysikou. 1998. “Approximate non-linear dynamic axial response of piles.” Géotechnique 48 (1): 33–53. https://doi.org/10.1680/geot.1998.48.1.33.
Militano, G., and R. K. Rajapakse. 1999. “Dynamic response of a pile in a multi-layered soil to transient torsional and axial loading.” Géotechnique 49 (1): 91–109. https://doi.org/10.1680/geot.1999.49.1.91.
Mortara, G., A. Mangiola, and V. N. Ghionna. 2007. “Cyclic shear stress degradation and post-cyclic behaviour from sand-steel interface direct shear tests.” Can. Geotech. J. 44 (7): 739–752. https://doi.org/10.1139/t07-019.
Mylonakis, G. 2001. “Elastodynamic model for large-diameter end-bearing shafts.” Soils Found. 41 (3): 31–44. https://doi.org/10.3208/sandf.41.3_31.
Nogami, T., and M. Novak. 1976. “Soil–pile interaction in vertical vibration.” Earthquake Eng. Struct. Dyn. 4 (3): 277–293. https://doi.org/10.1002/eqe.4290040308.
Novak, M., and B. El Sharnouby. 1983. “Stiffness constants of single piles.” J. Geotech. Eng. 109 (7): 961–974. https://doi.org/10.1061/(ASCE)0733-9410(1983)109:7(961).
Oztoprak, S., and M. D. Bolton. 2013. “Stiffness of sands through a laboratory test database.” Géotechnique 63 (1): 54–70. https://doi.org/10.1680/geot.10.P.078.
Padrón, L. A., J. J. Aznárez, and O. Maeso. 2007. “BEM-FEM coupling model for the dynamic analysis of piles and pile groups.” Eng. Anal. Boundary Elem. 31 (6): 473–484. https://doi.org/10.1016/j.enganabound.2006.11.001.
Porcino, D., V. Fioravante, V. N. Ghionna, and S. Pedroni. 2003. “Interface behavior of sands from constant normal stiffness direct shear tests.” Geotech. Test. J. 26 (3): 1–13.
Randolph, M. F. 2003. RATZ, load transfer analysis of axially loaded piles, version 4-2. Crawley, WA, Australia: School of Civil and Resource Engineering, Univ. of Western Australia.
Randolph, M. F., and P. C. Wroth. 1978. “Analysis of deformation of vertically loaded piles.” J. Geotech. Eng. Div. 104 (12): 1465–1488. https://doi.org/10.1061/AJGEB6.0000729.
Rocscience. 2023. “Verification manuals.” Accessed January 10, 2023. https://www.rocscience.com/help/rspile/verification-theory/verification-manuals.
Schneider, J. A., X. Xu, and B. M. Lehane. 2008. “Database assessment of CPT-based design methods for axial capacity of driven piles in siliceous sands.” J. Geotech. Geoenviron. Eng. 134 (9): 1227–1244. https://doi.org/10.1061/(ASCE)1090-0241(2008)134:9(1227).
Sen, R., T. G. Davies, and P. K. Banerjee. 1985. “Dynamic analysis of piles and pile groups embedded in homogeneous soils.” Earthquake Eng. Struct. Dyn. 13 (1): 53–65. https://doi.org/10.1002/eqe.4290130107.
Trochanis, A. M., M. Bielak, and P. P. Chistiano. 1987. “Hysteretic dissipation of piles under cyclic axial load.” J. Geotech. Eng. 113 (4): 335–350. https://doi.org/10.1061/(ASCE)0733-9410(1987)113:4(335).
Veletsos, A. S., and K. W. Dotson. 1986. “Impedances of soil layer with disturbed boundary zone.” J. Geotech. Eng. 112 (3): 363–368. https://doi.org/10.1061/(ASCE)0733-9410(1986)112:3(363).
Vucetic, M., and R. Dobry. 1991. “Effect of soil plasticity on cyclic response.” J. Geotech. Eng. 117 (1): 89–107. https://doi.org/10.1061/(ASCE)0733-9410(1991)117:1(89).
Wu, W. B., K. H. Wang, Z. Q. Zhang, and C. J. Leo. 2013. “Soil-pile interaction in the pile vertical vibration considering true three-dimensional wave effect of soil.” Int. J. Numer. Anal. Methods Geomech. 37 (17): 2860–2876. https://doi.org/10.1002/nag.2164.
Zhang, J., R. D. Andrus, and C. H. Juang. 2005. “Normalized shear modulus and material damping ratio relationships.” J. Geotech. Geoenviron. Eng. 131 (4): 453–464. https://doi.org/10.1061/(ASCE)1090-0241(2005)131:4(453).
Zheng, C., X. Ding, P. Li, and Q. Fu. 2015. “Vertical impedance of an end-bearing pile in viscoelastic soil.” Int. J. Numer. Anal. Methods Geomech. 39 (6): 676–684. https://doi.org/10.1002/nag.2324.
Zhou, W., L. Wang, Z. Guo, J. Liu, and S. Rui. 2019. “A novel t-z model to predict the pile response under axial cyclic loadings.” Comput. Geotech. 112 (Aug): 120–134. https://doi.org/10.1016/j.compgeo.2019.04.027.
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Information
Published In
Journal of Geotechnical and Geoenvironmental Engineering
Volume 150 • Issue 4 • April 2024
Copyright
© 2024 American Society of Civil Engineers.
History
Received: Sep 9, 2022
Accepted: Nov 13, 2023
Published online: Jan 29, 2024
Published in print: Apr 1, 2024
Discussion open until: Jun 29, 2024
ASCE Technical Topics:
- Axial loads
- Coasts, oceans, ports, and waterways engineering
- Continuum mechanics
- Damping
- Dynamic loads
- Dynamics (solid mechanics)
- Engineering mechanics
- Foundations
- Geomechanics
- Geotechnical engineering
- Lateral loads
- Ocean engineering
- Offshore structures
- Pile foundations
- Pile tests
- Piles
- Pipe piles
- Soil analysis
- Soil mechanics
- Soil properties
- Solid mechanics
- Static loads
- Statics (mechanics)
- Structural dynamics
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