SECOND-ORDER THEORY OF OSCILLATING CYLINDERS,

Abstract

Two-dimensional cylinders of arbitrary shape undergo small-amplitude forced sinusoidal motion in sway, heave and roll in (or near) the free surface of an infinitely deep ideal fluid. Equations for the theoretical fluid response to 'second-order' are derived and their solution formulated in terms of Fredholm integral equations. A numerical procedure is developed and applied to three surface-piercing cylinder sections. Graphs of added mass, damping coefficient, pressure distribution, force and asymptotic wave amplitude as functions of non-dimensional wave number k are presented for the pure motions and for combined sway and heave, sway and roll, and heave and roll. The results indicate the significance of second-order coupling forces which result in the later motion cases. Additionally, second-order response coefficients are shown to be important in the higher frequency range. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1970
Accession Number
AD0710767

Entities

People

  • Roger L. Potash

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Amplitude
  • Coefficients
  • Couplings
  • Equations
  • Frequency
  • Integral Equations
  • Integrals
  • Mathematical Analysis
  • Mathematics
  • Pressure Distribution
  • Two Dimensional

Readers

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