A GENERAL EQUATION OF MOTION FOR RIGID BODIES IN INCOMPRESSIBLE FLUIDS.

Abstract

Starting from the basic concepts of classical mechanics the general equation of motion for rigid bodies was developed. Laws of forces acting in the masses of the bodies and on the surfaces of bodies moving in incompressible fluids were established. Use was made of concise analytical matrix notation which is essentially equivalent to, but more effective in operation than v. Mises' symbolic Motor-rechnung. In terms of this notation the complete equation for the motions of bodies in spaces moving with the surrounding fluids becomes extremely comprehensive. Thus it allows ready discussion of the physical phenomena represented, development of consistent equations for special cases, development of methods for the determination of the properties of the systems investigated and for the solution of the describing equations, and classification and critical reviews of former methods and results. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1965
Accession Number
AD0630085

Entities

People

  • Michael Schmiechen

Tags

DTIC Thesaurus Topics

  • Analytical Chemistry Techniques
  • Classification
  • Equations
  • Mechanics
  • Molecular Mechanics Methods
  • Notation

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.

Technology Areas

  • Space
  • Space - Orbital Debris
  • Space - Spacecraft Maneuvers