THE SCREW CALCULUS AND ITS APPLICATIONS IN MECHANICS

Abstract

The author sets forth the basic propositions of screw calculus on the basis of the elementary apparatus of modern vector algebra and indicates certain of its applications. The book sets forth material from the theory of sliding vectors, the algebra of complex numbers of the form alpha + omega (alpha superscript 0) with a special multiplier omega that possesses the property omega squares = 0, the algebra of screws, fundamentals of the differential geometry of the rules surface, which are necessary for the kinematics of solids, the foundations of screw analysis, and, finally, certain data from the classical theory of screws in its geometrical aspect, with indication of a number of applications in mechanics.

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Document Details

Document Type
Technical Report
Publication Date
Apr 03, 1968
Accession Number
AD0680993

Entities

People

  • F. M. Dimentberg

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Cartesian Coordinates
  • Complex Numbers
  • Complex Variables
  • Construction
  • Coordinate Systems
  • Curvature
  • Differential Equations
  • Differential Geometry
  • Equations
  • Euler Angles
  • Four Dimensional
  • Frequency
  • Geometry
  • Mechanics
  • Molecular Orbital Theory
  • Quadratic Equations
  • Three Dimensional

Readers

  • Linear Algebra
  • Materials Science and Engineering.
  • Theoretical Analysis.