## Dynamic analysis of non-linear structures by the method of statistical quadratization |

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### Contents

INTRODUCTION | 1 |

EQUIVALENT STOCHASTIC QUADRATIZATION | 14 |

EQUIVALENT STOCHASTIC QUADRATIZATION | 41 |

Copyright | |

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### Common terms and phrases

axial tendon force body motion drift central moments computed current velocity density matrix derived Displacement Response drag force Equiv equivalent stochastic linearization equivalent stochastic quadratization equivalent system Equlv force spectral density force transfer function force vector free surface frequency domain frequency response given by equation Gram-Charlier expansion head drift force head force heave Height Quadratic Forces higher order linear and quadratic linear force low frequency quadratic mean response Morison equation natural frequency Newman approximation non-gaussian order Volterra series Power Spectral Density Quad quadratic force quadratic transfer function quadratization coefficients rad/sec Figure resonance response Response Probability Distribution response spectral density shown in Figure Significant Wave Height standard deviation stochastic quadratization method Substituting equation surge response Tension Leg Platform transfer function vector velocity head drift velocity potential Viscous Drag Volterra kernels Volterra series Volterra series method Wave Elevation/Velocity Head wave forces Wave Height Quadratic z/dj m/sec zero-mean