THE SECOND-ORDER THEORY OF CYLINDERS OSCILLATING VERTICALLY IN A FREE SURFACE.

Abstract

Let a cylinder be half submerged with its generators parallel to the water surface, and suppose it to be symmetric about a vertical axis. Further suppose the cylinder to be oscillating harmonically in a vertical direction. The pressure distribution about the cylinder, the force acting upon it, and the waves generated by it are computed through the second order of a perturbation series in the ratio of amplitude of motion to beam. The resulting potential-theory problems are solved by placing singularities of all orders at the intersection of the water surface with the vertical axis of symmetry and determining their strengths from the boundary condition on the body. Numerical computations are made for a circular cylinder and for a U-shaped cylinder. The results are presented in graphs. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1966
Accession Number
AD0644183

Entities

People

  • Choung Mook Lee

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Amplitude
  • Boundaries
  • Computations
  • Generators
  • Mathematical Analysis
  • Mathematics
  • Perturbations
  • Potential Theory
  • Pressure Distribution
  • Symmetry

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Graph Algorithms and Convex Optimization.
  • Marine Hydrodynamics