A Simplified Method for Deriving Equations of Motion For Continuous Systems with Flexible Members.

Abstract

A method is proposed for deriving dynamical equations for systems with both rigid and flexible components. During the derivation, each flexible component of the system is represented by a surrogate element which captures the response characteristics of that component and is easy to mathematically manipulate. The derivation proceeds essentially as if each surrogate element were a rigid body. Application of an extended form of Lagrange's equation yields a set of simultaneous differential equations which can then be transformed to be the exact, partial differential equations for the original flexible system. This method's use facilitates equation generation either by an analyst or through application of software-based symbolic. (AN)

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1993
Accession Number
ADA290090

Entities

People

  • Neil C. Singer
  • Warren P. Seering

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Artificial Intelligence
  • Boundaries
  • Classification
  • Complex Systems
  • Coordinate Systems
  • Demographic Cohorts
  • Differential Equations
  • Dynamics
  • Energy
  • Energy Storage
  • Equations
  • Equations Of Motion
  • Kinetic Energy
  • Military Research
  • Partial Differential Equations
  • Particles
  • Potential Energy

Readers

  • Calculus or Mathematical Analysis
  • Computational Modeling and Simulation
  • Robotics and Automation.