Abstract
The paper presents computer-aided numerical analyses which are utilized to investigate the dynamic behavior of piles under wind-generated irregular wave loads. A pile is modeled as a single-degree-of-freedom system. The equation of motion of the system is numerically integrated using a fourth order Runge–Kutta method. The equation of motion includes shape function that is obtained approximately. It is needed to compare the solutions with another method to determine the approximation leads whether significant differences or not. For this purpose the dynamic behavior of structure is modeled by the Time History Tool of SAP 2000 and the results compared with those found by a single-degree-of-freedom system. Irregular wave is represented with equivalent regular waves with two different approaches; based on either superimposed multi-sinusoidal wave (Loading I) or significant wave (Loading II), utilizing the energy spectrum. Wave forces are obtained from Morrison Equation. The analyses account for a soil-pile interaction in a simplified way. As the lateral ground pressure changes by delving deep into the ground, soil spring stiffness also changes. Those forces are calculated separately for different depths and taken into account in both analyses. Lateral displacement of the employed pile varying with the time is obtained from analyses for Loading I and Loading II. Critical results are obtained from which loading is determined. Finally, the frequencies of the external loads and natural frequency of pile are compared to examine whether the resonance came true or not.
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References
Borgman L.E.: Spectral analysis of ocean wave forces on piling. J. Waterways Harbour Div. ASCE WW 2(93, 129–155), 2 93, 129–155 (1965)
Voortman H.G., Van Gelder P.H.A.J.M., Vrijling J.K.: Reliability analysis of the dynamic behaviour of vertical breakwaters. Saf. Reliability 1, 519–524 (1999)
Hartnett, M.A.; Mullarkey, T.P.: Numerical evaluation of hydrodynamic loadings on fixed offshore structures. In: Advances in computational Techniques for Structural Engineering, pp. 263–268. Civil-Comp Press, Edinburgh (1996)
Hartnett M.: The application of a spectral response model to fixed offshore structures. Comput. Struct. 78, 355–364 (2000)
Eicher J.A., Guan H., Jeng D.S.: Stress and deformation of offshore piles under structural and wave loading. Ocean Eng. 30(3), 369–385 (2003)
Carreiras J., Antunesdo Carmo J., Seabra-Santos F.: Settlement of vertical piles exposed to waves. Coast. Eng. 47, 355–365 (2003)
Sumer B.M., Fredsøe J., Christiansen N.: Scour around vertical pile in waves. ASCE J. Waterw. Port Coastal Ocean Eng. 114(5), 599–614 (1992)
Sumer B.M., Christiansen N., Fredsøe J.: Influence of cross-section on wave scour around piles. ASCE J. Waterw. Port Coastal Ocean Eng. 119(5), 477–495 (1993)
Basu A.K.: Periodic response to fluid loading of single degree of freedom systems with stiffness nonlinearity. Ocean Eng. 25(6), 465–479 (1998)
Matlab, V.: 6.5. The MathWorks, Inc (2002)
SAP 2000 V14 (Structural Analysis Program). Integrated finite element analysis and design of structures. Berkeley (CA): Computers and Structures Inc (2000)
CERC, Coastal Engineering Manual. Wave Mechanics, Part II, USA (2002)
Chakrabarti S.K.: Hydrodynamics of Offshore Structures. Computational Mechanics Publications, Boston (1986)
Hsua, T.; Hsiao S.; Ou, C.; Wang, S.; Yang, B.; Chou, S.: An Application of Boussinesq Equations to Bragg Reflaction of Irregular Waves. Ocean Eng. 34 (2006)
Morison J.R., O’Brien M.P., Johnson J.W., Schaaf S.A.: The forces exerted by surface waves on piles. J. Petrol. Technol. Petrol. Trans. AIME 189, 149–154 (1950)
MacCamy R.C., Fuchs R.A.: Waves forces on piles: a diffraction theory. Technical Memorandum no. 69. US Army Corps of Engineering. Beach Erosion Board, Washington, DC (1954)
Chakarabarti S.K., Tam A.: Interaction of waves with large vertical cylinder. J Ship Res 3, 19–22 (1975)
Tang, W.H.: Uncertainties in offshore axial pile capacity. In: Kulhawy F.H. (ed.) Foundation Engineering: Current Principles and Practices, pp. 833–847. ASCE Press, New York (1989)
Lu J.-F., Jeng D.S.: Dynamic response of an offshore pile to pseudo-Stoneley waves along the interface between a poroelastic seabed and seawater. Soil Dyn. Earthquake Eng. 30, 184–201 (2010)
Ergin, A.: Coastal engineering. Metu press (2009)
ISO 19901-1: Petroleum and natural gas industries—Specific requirements for offshore structures—Part 1: Metocean design and operating considerations International Organization for Standardization, Geneva, Switzerland (2005)
Maple 11.2007. Maplesoft, Waterloo, Canada
Wienkea J., Oumeraci H.: “Breaking wave impact force on a vertical and inclined slender pile-theoretical and large-scale model investigations. Coastal Eng. 52, 435–462 (2005)
Khan A.K., Pise P.J.: Dynamic behavior of curved piles. Comput. Struct. 65(6), 795–807 (1997)
Prakash S., Sharma H.D.: Pile foundations in engineering practice. Wiley, New York (1990)
Tahghighi H., Konagai K.: Numerical analysis of nonlinear soil–pile group interaction under lateral loads. Soil Dyn. Earthquake Eng. 27, 463–474 (2007)
Kappos A.J.: Dynamic loading and design of structures. Spon Press, New York (2004)
Clough R.W., Penzien J.: Dynamics of structures. Mc Graw–Hill, Singapore (1993)
Barltrop N.D.P., Adams A.J.: Dynamics of fixed marine structures. Atkins Oil & Gas Engineering Limited, Epsom (1991)
Design of support structures for offshore wind turbines. JanVAN DER TEMPEL (2006)
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Gücüyen, E., Erdem, R.T. & Gökkuş, Ü. Irregular Wave Effects on Dynamic Behavior of Piles. Arab J Sci Eng 38, 1047–1057 (2013). https://doi.org/10.1007/s13369-012-0428-6
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DOI: https://doi.org/10.1007/s13369-012-0428-6