Development of the Equations of Motion and Transfer Functions for Underwater Vehicles.

Abstract

Derivation of the linear, small-perturbation equations of motion for underwater vehicles is presented. These equations include the inertial, hydrodynamic, and gravity-buoyancy forces and moments. Necessary assumptions are introduced to linearize the equations and decouple the longitudinal from the lateral motions. Solutions to the equations are obtained by Laplace transform techniques. Complete expressions for the transfer functions are given in terms of the hydrodynamic coefficients. An example problem is presented to provide typical values for the characteristic vehicle motions. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1976
Accession Number
ADA033882

Entities

People

  • D. E. Humphreys

Tags

Communities of Interest

  • Air Platforms
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Buoyancy
  • Center Of Gravity
  • Computational Fluid Dynamics
  • Control Surfaces
  • Engineering
  • Engineers
  • Equations
  • Equations Of Motion
  • Flight
  • Frequency
  • Gravity
  • Naval Architecture
  • Navy
  • Standards
  • Submarines
  • Transfer Functions
  • Underwater Vehicles

Fields of Study

  • Mathematics

Readers

  • Acoustical Oceanography.
  • Aviation Science / Aeronautics.
  • Calculus or Mathematical Analysis