INSTABILITY OF PLANING SURFACES

Abstract

A mathematical analysis is developed for the hydrodynamic problem of a two-dimensional planing surface which is heaving sinusoidally. From the assumptions of small angle of attack and small amplitudes of motion, it is possible to formulate a linear problem. Gravity is neglected. A condition is developed for predicting instability of the steady forward motion.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1969
Accession Number
AD0694491

Entities

People

  • T. F. Ogilvie

Organizations

  • University of Michigan

Tags

Communities of Interest

  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Amplitude
  • Bessel Functions
  • Complex Variables
  • Engineering
  • Frequency
  • Hydrodynamics
  • Leading Edges
  • Lepidoptera
  • Marine Engineering
  • Mathematical Analysis
  • Michigan
  • Naval Architecture
  • Planing Surfaces
  • Ship Design
  • Shipbuilding
  • Two Dimensional
  • Universities

Fields of Study

  • Mathematics
  • Physics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Geotechnical Engineering.