## 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 0 = ( a / at ) , į = ( a Šat ) . these expressions , subscripts j and j + 1 ...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

CONTENTS | 131 |

High Frequency Hydrodynamic Damping of a TLP | 147 |

A Comparison of Results | 153 |

Copyright | |

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### Common terms and phrases

acceleration added amplitude analysis angle applied approach approximately assumed body boundary cable calculated coefficients compared components computed considered constant coordinate corresponding cylinder damping depth determined developed diffraction direction displacement distribution domain drag drift dynamic effect element Engineering equation estimated experimental experiments expressed field Figure floating flow fluid force free surface frequency function given height hydrodynamic included increase integral length lift force linear load mass maximum mean measured Mechanics method mode mooring motion natural nonlinear obtained Offshore operation oscillation period phase pile platform position potential predicted present pressure problem production range ratio relative represents respectively response second-order separation ship shown shows simulation solution stiffness structure surface surge Table Technology tension tests theory values velocity vertical vessel wave