Dynamics of Multi-Body Systems (Dynamiques des Systemes de Plusieurs Corps),

Abstract

The dynamic equations of multi-body systems in the form of open chains are derived by applying the principles of linear and angular momentum to each individual member in the chain. This results in the appearance of constraint forces and torques in the dynamic equations. Using more or less classical approach these unknown forces and torques can be eliminated. Another approach is to approximate these forces by elastic and viscous forces by allowing small violations of the constraints. The well-known elimination procedure leads to a small densely coupled system of equations while the lesser-known procedure of approximating the constraint forces and torques yields a large but less densely coupled system. Both these procedures are first explained in the context of a single rigid body and then applied to a system of rigid bodies in an open chain where each body is coupled directly to at most two neighbours. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1979
Accession Number
ADA082436

Entities

People

  • I. H. Mufti

Organizations

  • National Research Council Canada

Tags

Communities of Interest

  • C4I
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Angular Momentum
  • Computer Simulations
  • Computers
  • Differential Equations
  • Dissipation
  • Dynamics
  • Elimination
  • Engineering
  • Equations
  • Equations Of Motion
  • Euler Angles
  • Joints
  • Kinetic Energy
  • Mechanical Engineering
  • Momentum
  • Relative Motion
  • Universal Joints

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Control Systems Engineering.
  • Small Business Innovation Research Program (SBIR) EDI Research and Innovation.