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

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.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1965
Accession Number
AD0474663

Entities

People

  • John Wehausen

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Abstracts
  • Boundaries
  • California
  • Computational Science
  • Contracts
  • Coordinate Systems
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Floating Bodies
  • Government Procurement
  • Integral Equations
  • Molecular Dynamics
  • New York
  • United States
  • Water Waves
  • Waves

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.
  • Marine Hydrodynamics