Numerical Methods for Differential-Algebraic Equations in Real-Time Integration of Mechanical Systems.

Abstract

This project focused on the numerical algorithms and analysis which are needed for the effective real-time simulation of mechanical systems. Real-time simulation of mechanical systems is needed in robotics, as well as in the design and simulation of vehicles, including automobiles, high-speed trains, tanks and construction equipment. A number of related projects were proposed which would enable improved capabilities for real-time simulation of systems from mechanics, and also of related electrical, chemical and power systems. Proposed research included analysis and numerical algorithm development addressing these issues: problem formulation and numerical stability, exploiting structure and parallelism, high-frequency oscillations, rank-deficient constraints, discontinuities and delays.

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Document Details

Document Type
Technical Report
Publication Date
Mar 15, 1996
Accession Number
ADA308373

Entities

People

  • Linda Petzold

Organizations

  • University of Minnesota

Tags

Communities of Interest

  • Advanced Electronics
  • Autonomy
  • Energy and Power Technologies
  • Human Systems
  • Space

DTIC Thesaurus Topics

  • Algorithms
  • Computational Science
  • Computer Science
  • Construction
  • Construction Equipment
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Frequency
  • Iterations
  • Mathematics
  • Mechanics
  • Numerical Analysis
  • Oscillation
  • Physics
  • Simulations
  • Vehicles

Fields of Study

  • Engineering

Readers

  • Electrical Engineering
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Research Science/Academic Research

Technology Areas

  • AI & ML
  • AI & ML - Autonomous Systems
  • AI & ML - Machine Learning Algorithms
  • Autonomy
  • Autonomy - Autonomous System Control