## Proceedings of the ... International Conference on Offshore Mechanics and Arctic Engineering, Volumes 1-2American Society of Mechanical Engineers, 1991 - Arctic regions |

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Page 154

The first term in the above

The first term in the above

**equation**describes the first order wave force and the second term describes the second order wave force. By transforming the above**equation**into the frequency domain, the Fourier transform of the wave force ...Page 275

When

When

**equation**( 2 ) . expressing the dynamic boundary condition of free surface , is substituted to**equation**( 11 ) . the following**equation**is obtained : where = ( a / at ) . Ś = ( a Ś / at ) In these expressions , subscripts j and j + ...Page 510

Therefore , the nonlinear Mathieu

Therefore , the nonlinear Mathieu

**equation**with large magnitude parameters needs to be solved to take this investigation further . This can only be done using a numerical method . PERTURBATION METHOD TO SOLVE THE NONLINEAR MATHIEU ...### What people are saying - Write a review

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### Contents

SPECIAL SESSION HYDRODYNAMICS | 1 |

HYDRODYNAMIC FORCES | 29 |

Simulated High Reynolds Number Flow and Forces on Cylinder Groups | 71 |

Copyright | |

47 other sections not shown

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### Common terms and phrases

acting amplitude analysis angle applied approach approximately assumed average body boundary cable calculated circular cylinder coefficients compared comparison components computed considered constant corresponding cylinder damping depth described determined diffraction direction distribution domain drag drift force effect element Engineering equation estimates experimental experiments expressed field Figure floating flow fluid follows free surface frequency function given height horizontal hydrodynamic included increase integral irregular waves length lift force linear loads mass maximum mean measured method mode mooring motion natural nonlinear obtained Ocean Offshore oscillation period phase platform points position potential predicted present pressure problem random range regular relative represents respectively response second order second-order separation ship shown shows simulation solution spectrum structure surge Table tests theory values velocity vertical vortex wave forces