## Proceedings of the ... International Conference on Offshore Mechanics and Arctic Engineering, Volume 2; Volume 8, Part 2American Society of Mechanical Engineers, 1989 - Arctic regions |

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Page 134

LINEAR

LINEAR

**SOLUTION**.a . 1.0 m LINEARISATION.a . 1.0 m TIME DOMAIN , a . 0.5 m TIME DOMAIN . a - 1.0 m TIME DOMAIN , a - 2.0 m TIME DOMAIN a : 4,0 m 171 ( 1 / m ) LINEAR**SOLUTION**, a -1.0 m LINEARISATION .a - 1.0 TIME DOMAIN , a - 0.5 m TIME ...Page 154

General

General

**Solution**The**solution**which satisfies Eqs . ( 1 ) – ( 3 ) , must be an even function of the angular coordinate 0 because of symmetry in terms of 0. The**solution**must also be a periodic function with the period of 21.Page 459

Thus the linear first - harmonic

Thus the linear first - harmonic

**solution**becomes complete . ... and to treat the problem separately in each region and then to match two**solutions**in intermediate region in the sense of matched asymptotic expansions .### What people are saying - Write a review

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### Contents

HYDRODYNAMIC FORCES | 1 |

WaveCurrent Force on Horizontal Cylinder | 7 |

DoubleFactor Method for the Linearization of Drag Force | 39 |

Copyright | |

45 other sections not shown

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### Common terms and phrases

added mass amplitude analysis applied approach approximately assumed body boundary calculated circular compared components computed considered correlation corresponding cylinder damping defined depends depth described determined direction distribution drag coefficient drift force effect elements Engineering equation estimate experimental experiments expressed extreme factor failure Figure flow fluid free surface frequency function given horizontal hydrodynamic important in-line included increase indicate integral length lift lift force linear load maximum mean measured Mechanics method mode motion nonlinear normal obtained Offshore oscillation parameters period pipeline potential predicted present pressure probability problem random range ratio reference relative reliability represented respectively response second order separation shear ship shown shows simulation solution structure surface Table term tests theory transverse uncertainty variables varying velocity vertical vortex wave force wave height