Accession Number : AD0474663


Title :   INITIAL VALUE PROBLEM FOR THE MOTION OF A BODY IN AN UNDULATING SEA. I. FIXED EQUILIBRIUM POSITION


Descriptive Note : Technical Report


Corporate Author : CALIFORNIA UNIV BERKELEY BERKELEY United States


Personal Author(s) : Wehausen,John


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/474663.pdf


Report Date : 01 Oct 1965


Pagination or Media Count : 32


Abstract : By modification of a method first introduced by Volterra for the solution of certain initial-value problems for water waves, integro-differential equations are derived for the motion of a body floating in a wavy sea and oscillating about an equilibrium position, given its initial position and velocity and the initial configuration and velocity of the field. In addition, it is shown how Cummins' decomposition of the hydrodynamic force and moment resulting from the 'forced motion' fits naturally into the present treatment and how Haskind's relations between the force and moment caused by diffracted waves and by forced waves can be extended to the situation considered here.


Descriptors :   FLOATING BODIES , WATER WAVES , MOTION , EQUATIONS OF MOTION , VELOCITY , HYDRODYNAMICS , ROTATION , DIFFERENTIAL EQUATIONS , INTEGRAL EQUATIONS , MOMENT OF INERTIA


Subject Categories : Fluid Mechanics


Distribution Statement : APPROVED FOR PUBLIC RELEASE