Technical Papers
Sep 4, 2023

Horizontal Static Impedances for OWT Monopiles Based on Timoshenko Beam Theory

Publication: International Journal of Geomechanics
Volume 23, Issue 11

Abstract

Euler beam theory is always used for soil–pile analysis; however, its use is questionable for laterally loaded large-diameter monopiles. In this paper, the solution on the static impedances of monopiles under a combination of axial and horizontal loads was proposed based on three-dimensional continuous medium theory and Timoshenko beam theory. From the analysis results, the use of the Euler–Bernoulli beam theory leads to larger pile-head impedances, and the feature is more significant with lower aspect ratios and stronger pile-bottom constraints. The difference in the impedance from two theories may be up to 10%–43%. Consequently, Timoshenko beam theory is more appropriate for large-diameter monopiles, especially for monopiles with strong bottom constraints (such as rock-socketed monopiles). Meanwhile, the shear force and bending moment at the pile bottom have a considerable effect on the static impedances of large-diameter short monopiles, and only a consideration of the impedance contribution from the soil around the pile is insufficient. Furthermore, both the deflection and the bending moment of the pile increase due to the second-order effect of axial force, but the effect of the axial force on the impedance can be neglected for practical monopile designs. A simple and efficient approach to evaluate the impedance of large-diameter monopiles is desirable for designers, thus a simplified empirical equation for the pile-head static impedance was proposed for ease in calculating each component of static impedances for the large-diameter monopiles of offshore wind turbines (OWTs).

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Acknowledgments

This work is supported by the National Natural Science Foundation of China (Grant Nos. 52178312, 52008059, and 52178318), the Innovation Group Science Foundation of the Natural Science Foundation of Chongqing, China (Grant No. cstc2020jcyj-cxttX0003), the Open Research Fund Program of Guangdong Key Laboratory of Earthquake Engineering and Application Technology (Grant No. 2020B1212060071), and the Science & Technology Project of the Education Department of Jiangxi Province (Grant No. GJJ2200681). The corresponding author would like to acknowledge the China Scholarship Council for the support for his study at the National University of Singapore.
Author contributions: Guangwei Cao: Conceptualization, Methodology, Data curation, Formal analysis, Programming, Writing-original draft, Visualization. Siau Chen Chian: Resources, Software, Writing-review & editing, Supervision. Xuanming Ding: Conceptualization, Writing—review & editing, Funding acquisition, Supervision. Lubao Luan: Funding acquisition, Supervision, Writing—review & editing, Software. Changjie Zheng: Funding acquisition, Supervision, Writing—review & editing. Peng Zhou: Funding acquisition, Writing—review & editing.

References

ABAQUS Inc. 2014. Abaqus 6.14 analysis user’s manual. Providence, RI: Dassault Systerms Simulia Corp.
Adhikari, S., and S. Bhattacharya. 2011. “Vibrations of wind-turbines considering soil-structure interaction.” Wind Struct. Int. J. 14 (2): 85–112. https://doi.org/10.12989/was.2011.14.2.085.
Ai, Z. Y., and Z. X. Li. 2015. “Dynamic analysis of a laterally loaded pile in a transversely isotropic multilayered half-space.” Eng. Anal. Boundary Elem. 54: 68–75. https://doi.org/10.1016/j.enganabound.2015.01.008.
Ai, Z. Y., Z. X. Li, and L. H. Wang. 2016. “Dynamic response of a laterally loaded fixed-head pile group in a transversely isotropic multilayered half-space.” J. Sound Vib. 385: 171–183. https://doi.org/10.1016/j.jsv.2016.09.016.
Bisoi, S., and S. Haldar. 2014. “Dynamic analysis of offshore wind turbine in clay considering soil–monopile–tower interaction.” Soil Dyn. Earthquake Eng. 63: 19–35. https://doi.org/10.1016/j.soildyn.2014.03.006.
Byrne, B. W., et al. 2020. “Monotonic laterally loaded pile testing in a stiff glacial clay till at Cowden.” Géotechnique 70 (11): 970–985. https://doi.org/10.1680/jgeot.18.PISA.003.
Cao, G., Z. Chen, C. Wang, and X. Ding. 2020. “Dynamic responses of offshore wind turbine considering soil nonlinearity and wind-wave load combinations.” Ocean Eng. 217 (2): 108–155.
Cao, G., X. Ding, Z. Yin, H. Zhou, and P. Zhou. 2021. “A new soil reaction model for large-diameter monopiles in clay.” Comput. Geotech. 137 (3): 104311. https://doi.org/10.1016/j.compgeo.2021.104311.
Corciulo, S., O. Zanoli, and F. Pisanò. 2017. “Transient response of offshore wind turbines on monopiles in sand: Role of cyclic hydro–mechanical soil behaviour.” Comput. Geotech. 83: 221–238. https://doi.org/10.1016/j.compgeo.2016.11.010.
Cowper, G. R. 1966. “The shear coefficient in Timoshenko’s beam theory.” J. Appl. Mech. 33 (2): 335–340. https://doi.org/10.1115/1.3625046.
Ding, X., S. C. Chian, J. Lian, G. Cao, J. Shen, and L. Luan. 2023. “Wind-wave combined effect on dynamic response of soil-monopile-OWT system considering cyclic hydro-mechanical clay behavior.” Comput. Geotech. 154: 105124. https://doi.org/10.1016/j.compgeo.2022.105124.
Gazetas, G., and R. Dobry. 1984. “Horizontal response of piles in layered soils.” J. Geotech. Eng. 110 (1): 542–547.
Gupta, B. K., and D. Basu. 2018. “Applicability of Timoshenko, Euler-Bernoulli and rigid beam theories in analysis of laterally loaded monopiles and piles.” Géotechnique 68 (9): 772–785. https://doi.org/10.1680/jgeot.16.P.244.
Harte, M., B. Basu, and S. R. K. Nielsen. 2012. “Dynamic analysis of wind turbines including soil-structure interaction.” Eng. Struct. 45: 509–518. https://doi.org/10.1016/j.engstruct.2012.06.041.
Jonkman, J., S. Butterfield, W. Musial, and G. Scott. 2009. Definition of a 5-MW reference wind turbine for offshore system development. Technical Rep. No. NREL/TP-500-38060. Golden, CO: National Renewable Energy Laboratory.
Kementzetzidis, E., S. Corciulo, W. G. Versteijlen, and F. Pisanò. 2019. “Geotechnical aspects of offshore wind turbine dynamics from 3D non-linear soil-structure simulations.” Soil Dyn. Earthquake Eng. 120 (May): 181–199. https://doi.org/10.1016/j.soildyn.2019.01.037.
Liang, F., H. Chen, and S. Chen. 2012. “Influences of axial load on the lateral response of single pile with integral equation method.” Int. J. Numer. Anal. Methods Geomech. 36 (16): 1831–1845. https://doi.org/10.1002/nag.1090.
Li, X., G. Dai, F. Zhang, and W. Gong. 2022. “Energy-based analysis of laterally loaded caissons with large diameters under small-strain conditions.” Int. J. Geomech. 22 (8): 05022005. https://doi.org/10.1061/(ASCE)GM.1943-5622.0002407.
Li, Y., and Z. Y. Ai. 2021. “Horizontal transient response of a pile group partially embedded in multilayered transversely isotropic soils.” Acta Geotech. 16: 335–346. https://doi.org/10.1007/s11440-020-01023-6.
Liu, H., C. Zheng, X. Ding, G. P. Kouretzis, and S. W. Sloan. 2016. “A revised solution for the horizontal vibration of an end-bearing pile in viscoelastic soil.” Int. J. Numer. Anal. Methods Geomech. 40: 1890–1900. https://doi.org/10.1002/nag.2513.
Luan, L., X. Ding, W. Zhou, C. Zheng, and L. Qu. 2018. “Horizontal dynamic response of a large-diameter pipe pile considering the second-order effect of axial force.” Earthquake Eng. Eng. Vibr. 17 (3): 567–579. https://doi.org/10.1007/s11803-018-0463-8.
Luan, L., X. Ding, C. Zheng, G. Kouretzis, and Q. Wu. 2020a. “Dynamic response of pile groups subjected to horizontal loads.” Can. Geotech. J. 57 (4): 469–481. https://doi.org/10.1139/cgj-2019-0031.
Luan, L., C. Zheng, G. Kouretzis, and X. Ding. 2020b. “Dynamic analysis of pile groups subjected to horizontal loads considering coupled pile-to-pile interaction.” Comput. Geotech. 117: 103276. https://doi.org/10.1016/j.compgeo.2019.103276.
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.
Novak, M. 1974. “Dynamic stiffness and damping of piles.” Can. Geotech. J. 11: 574–598. https://doi.org/10.1139/t74-059.
Novak, M., and T. Nogami. 1977. “Soil-pile interaction in horizontal vibration.” Earthquake Eng. Struct. Dyn. 5 (3): 263–281. https://doi.org/10.1002/eqe.4290050305.
Ortolani, C. 2017. Laterally loaded monopiles for offshore wind turbines: Analysis and improvement of the p-y curves. COLLIN Frederic. Milano, Italy: Universite de Liege.
Poulos, H. G., and T. S. Hull. 1989. “The role of analytical geomechanics in foundation engineering.” In Vol. 2 of Proc., Foundation Engineering: Current Principles and Practices, 1578–1606. Reston, VA: ASCE.
Santangelo, F., G. Failla, A. Santini, and F. Arena. 2016. “Time-domain uncoupled analyses for seismic assessment of land-based wind turbines.” Eng. Struct. 123: 275–299. https://doi.org/10.1016/j.engstruct.2016.05.043.
Timoshenko, S. P. 1941. Strength of materials, part II, advanced theory and problems. 2nd ed. New York: D. Van Nostrand. 10th printing.
Veletsos, A. S., and Y. T. Wei. 1971. “Lateral and rocking vibration of footings.” J. Soil Mech. Found. Div. 97 (SM9): 1227–1248. https://doi.org/10.1061/JSFEAQ.0001661.
Zheng, C., S. Gan, L. Luan, and X. Ding. 2021. “Vertical dynamic response of a pile embedded in a poroelastic soil layer overlying rigid base.” Acta Geotech. 16 (3): 977–983. https://doi.org/10.1007/s11440-020-01033-4.
Zheng, C., G. Kouretzis, X. Ding, and L. Lubao. 2022. “Vertical vibration of end-bearing single piles in poroelastic soil considering three-dimensional soil and pile wave effects.” Comput. Geotech. 146: 104740. https://doi.org/10.1016/j.compgeo.2022.104740.
Zheng, C., H. Liu, X. Ding, and Q. Fu. 2013. “Horizontal vibration of a large-diameter pipe pile in viscoelastic Soil.” Math. Probl. Eng. 2013 (pt.13): 1–13.
Zheng, C., L. Luan, H. Qin, and H. Zhou. 2020. “Horizontal dynamic response of a combined loaded large-diameter pipe pile simulated by the timoshenko beam theory.” Int. J. Struct. Stab. Dyn. 20 (2): 2071003.
Zuo, H., K. Bi, and H. Hao. 2018. “Dynamic analyses of operating offshore wind turbines including soil-structure interaction.” Eng. Struct. 157: 42–62. https://doi.org/10.1016/j.engstruct.2017.12.001.

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Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 23Issue 11November 2023

History

Received: Sep 26, 2022
Accepted: May 21, 2023
Published online: Sep 4, 2023
Published in print: Nov 1, 2023
Discussion open until: Feb 4, 2024

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Guangwei Cao [email protected]
Ph.D. Candidate, Key Laboratory of New Technology for Construction of Cities in Mountain Area, Chongqing Univ., College of Civil Engineering, Chongqing 400045, China. Email: [email protected]
Siau Chen Chian, Ph.D. [email protected]
Associate Professor, Dept. of Civil and Environmental Engineering, National Univ. of Singapore, 119077 Singapore, Singapore. Email: [email protected]
Xuanming Ding, Ph.D. [email protected]
Professor, Key Laboratory of New Technology for Construction of Cities in Mountain Area, Chongqing Univ., College of Civil Engineering, Chongqing 400045, China (corresponding author). Email: [email protected]
Postdoctoral, College of Engineering, Ocean Univ. of China, Qingdao 266100, China. Email: [email protected]
Changjie Zheng, Ph.D. [email protected]
Professor, Fujian Provincial Key Laboratory of Advanced Technology and Informatization in Civil Engineering, College of Civil Engineering, Fujian Univ. of Technology, Fuzhou 350025, China. Email: [email protected]
Peng Zhou, Ph.D. [email protected]
Lecturer, School of Civil Engineering and Architecture, East China Jiaotong Univ., Nanchang 330013, China; Guangdong Key Laboratory of Earthquake Engineering and Application Technology, Guangzhou Univ., Guangzhou 510006, China. Email: [email protected]

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