Application of Symbolical Kinematics to Real-Time Vehicle Dynamics.

Abstract

A computer oriented integrated approach for the automatic generation of symbolical expressions for the position, velocity and acceleration problems of spatial, multiple loop multibody systems is developed. All processing steps, from the topological analysis of the interconnection structure to the final production of executable statements in a standard programming language, such as "C,', are integrated into one single single piece of code, written in Mathematica. Special subsystems, such as planar or spherical mechanism parts, subsystems featuring closed form, i.e., analytic solutions, and subsystems which have to be solved iteratively, are recognized and processed accordingly. These tasks involve, among others, the generation of minimal cycle sets, the detection of invariant transformation groups in loops, and the recognition of recursive solution flows in multiple loop mechanisms. All processing steps are fully operational and produce the desired expressions from a minimal input comprising the system adjacency matrix, the list of variable joint parameters, and the desired set of input variables. A SOLVAS-compatible interface insures the applicability of the package in the setting of vehicle dynamics by its integration in the libraries developed at the System Simulation & Technical Division Group at U.S. Army TARDEC. The procedures and the code are illustrated by several examples.

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Document Details

Document Type
Technical Report
Publication Date
Aug 31, 1995
Accession Number
ADA298975

Entities

People

  • I. A. Kecskemethy
  • Thorsten Krupp

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Closed Loop Systems
  • Computational Chemistry Methods
  • Computational Science
  • Computer Languages
  • Computer Programming
  • Computer Programs
  • Computer Simulations
  • Computers
  • Equations
  • Equations Of Motion
  • Geometry
  • Graph Theory
  • Mechanical Engineering
  • Programming Languages
  • Relative Motion
  • Topology

Fields of Study

  • Engineering

Readers

  • Database Systems and Applications
  • Graph Algorithms and Convex Optimization.
  • Robotics and Automation.