Abstract
For some applications it is worthwhile to consider second-order wave effects. Especially the influence of low frequency second-order forces on systems moored in waves may cause resonant behaviour, resulting in large oscillating motions at the resonant frequency of the moored system. To describe this phenomenon we first derive the second-order waves in the case that we have a simple spectrum of waves consisting of two monochromatic plane waves with frequencies close to each other. Next a derivation of the second-order low frequency drift forces by means of a local expansion and far-field expansions is given. As a classroom example we consider the forces on a vertical wall caused by the reflection of such a wave system. This serves as an introduction to formulation of the low frequency motion of a moored system.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
J. Grue, E. Palme, The mean drift force and yaw moment on marine structures in waves and current. J. Fluid Mech. 250, 121–142 (1993)
H. Maruo, The drift of a body floating in waves. J. Ship Res. 4, 1–10 (1960)
J. Nossen, J. Grue, E. Palme, Wave forces on three-dimensional floating bodies with small forward speed. J. Fluid Mech. 227, 135–160 (1991)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2011 Springer Science+Business Media B.V.
About this chapter
Cite this chapter
Hermans, A.J. (2011). Second-Order Theory. In: Water Waves and Ship Hydrodynamics. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0096-3_4
Download citation
DOI: https://doi.org/10.1007/978-94-007-0096-3_4
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-0095-6
Online ISBN: 978-94-007-0096-3
eBook Packages: EngineeringEngineering (R0)