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• W2053204256 abstract "ABSTRACT The highly nonlinear fluid solid interaction can be studied by an iterative calculation procedure described in the paper. It is a convenient method for the computation of the steady response of tubular structures. An extension of the method is possible so as to obtain response curves through the wave periods. They describe the behavior of the structure in various sea conditions, from small and short waves to high and long ones. The response curves can be used to calculate the spectral response to a sea spectrum if the structure is not highly nonlinear. INTRODUCTION An offshore structure is said to be flexible when the displacements, speed, and accelerations of the structures elements highly affect the wave and buoyancy forces. According to such a definition, a same structure can be flexible only for some sea states and rigid for others. A typical property of flexible structures is that the relation between the hydrodynamic forces on the motionless structure and the displacements is nonlinear. Our purpose is to study flexible structures built with tubes, using the Morison's equation for the calculation of wave forces and to propose a low-cost iteration procedure for the calculation of the steady response to a large variety of wave periods and wave heights. An objection to such a study may be that the theory of regular and cylindrical wave3 is not realistic. But we think that the large amount of information given by the iterative procedure about the behaviors will be helpful in the nonlinear spectral analysis (this is the theme of our present research). On the other hand, we have noticed that the regular response is of a high practical interest. Thanks to the method presented hereafter, it has been possible to calculate what wave periods are the most dangerous for a structure, for a given wave height. It, has been possible to delimit in the H,T plane, the curves of equal fatigue duration, then to determine the towing feasibility of structures. EQUATIONS OF MOTION Basic Hypothesis and Simplifications Structure Schematization The structure is composed of tubular beams whose length and diameter are small, when composed to the wave length. Each beam can be cut artificially into small elements along which any function of space will be taken as constant. Then the structure will be represented only by a set of points corresponding to the center of gravity of the elements. Each of the following properties are defined for each point. (Available in full paper) Base of Displacement Fields A set of n arbitrary vector functions of space are chosen: (Mathematical equation available in full paper) They represent a base of displacement for the structure. It is supposed that any displacement of a tubular element is represented by the formula." @default.
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• W2053204256 date "1978-05-07" @default.
• W2053204256 modified "2023-10-05" @default.
• W2053204256 title "Dynamic Response Of Flexible Offshore Structures To Regular Waves" @default.
• W2053204256 doi "https://doi.org/10.4043/3160-ms" @default.
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