On alternative approaches to linearization and Morison's equation for wave forces

Abstract

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A.4552957–2974http://doi.org/10.1098/rspa.1999.0434SectionRestricted accessOn alternative approaches to linearization and Morison's equation for wave forces Julian Wolfram Julian Wolfram Department of Civil and shore Engineering, Heriot–Watt University, Edinburgh EH9 1UD, UK Google Scholar Find this author on PubMed Search for more papers by this author Julian Wolfram Julian Wolfram Department of Civil and shore Engineering, Heriot–Watt University, Edinburgh EH9 1UD, UK Google Scholar Find this author on PubMed Search for more papers by this author Published:08 August 1999https://doi.org/10.1098/rspa.1999.0434AbstractThe limitations of the ‘equivalent linearization’ approach are discussed and an alternative approach is advocated based on the idea of ‘corresponding linear forms’ which give unbiased estimates for the output quantity required from an analysis. The application of the alternative approach is illustrated by developing corresponding linear forms for Morison's equation applicable to the estimation of extreme wave loading and the estimation of wave–induced fatigue loading. These corresponding linear forms differ only in a linearization factor and expressions for this are obtained for both cases. It is shown that the linearization factor varies not just with the nature of the output but also with the relative magnitudes of the drag and inertia terms in Morison's equation. The application of the alternative approach to the oscillatory motion of bodies is discussed briefly. 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Gam M, Jang B and Park J (2017) A study on the fatigue analysis for a vertical caisson on FPSO subjected to the nonlinear wave loading, Ocean Engineering, 10.1016/j.oceaneng.2017.03.057, 137, (151-165), Online publication date: 1-Jun-2017. Pryor S and Barthelmie R (2013) Renewable Energy Resources – Ocean Energy Climate Vulnerability, 10.1016/B978-0-12-384703-4.00311-7, (65-81), . Ballard Z and Mann B (2013) Two-Dimensional Nonlinear Analysis of an Untethered Spherical Buoy Due to Wave Loading, Journal of Computational and Nonlinear Dynamics, 10.1115/1.4024887, 8:4, Online publication date: 1-Oct-2013. Karadeniz H, Saka M and Togan V (2013) Water Wave Theories and Wave Loads Stochastic Analysis of Offshore Steel Structures, 10.1007/978-1-84996-190-5_3, (177-252), . Garrè L and Der Kiureghian A (2010) Tail-Equivalent Linearization Method in frequency domain and application to marine structures, Marine Structures, 10.1016/j.marstruc.2010.07.006, 23:3, (322-338), Online publication date: 1-Jul-2010. Arena F and Nava V (2008) On linearization of Morison force given by high three-dimensional sea wave groups, Probabilistic Engineering Mechanics, 10.1016/j.probengmech.2007.12.010, 23:2-3, (104-113), Online publication date: 1-Apr-2008. Socha L Applications of Linearization Methods in Vibration Analysis of Stochastic Mechanical Structures Linearization Methods for Stochastic Dynamic Systems, 10.1007/978-3-540-72997-6_9, (281-340) Socha L (2005) Linearization in Analysis of Nonlinear Stochastic Systems, Recent Results—Part II: Applications, Applied Mechanics Reviews, 10.1115/1.1995715, 58:5, (303-315), Online publication date: 1-Sep-2005. 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