Parametric Dependence in the Equilibrium Dynamics of Rotating Structures.

Abstract

This report summarizes work done by the author during the past twelve months on the dynamics of complex rotating systems. Our recent work on the mechanics of rotating elastic structures shows a complex dependency of asymptotic equilibrium states on physical parameters such as elasticity of the material and total momentum of the structure. For multiply articulated rigid bodies undergoing large angle rotations, it is shown explicitly how there can be a sensitive dependence of equilibrium states on parameters of inertia and angular momentum. This suggests that recent work on geometrically nonlinear beam theories may be significant not only for transient analysis, but for accurately modeling asymptotic dynamics as well. Keywords: Classical mechanics, Beam theories, Equilibrium dynamics, Kinematic chains.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1987
Accession Number
ADA187817

Entities

People

  • John Baillieul

Organizations

  • Boston University

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Angular Momentum
  • Classification
  • Coordinate Systems
  • Dynamics
  • Elastic Properties
  • Energy
  • Engineering
  • Equations
  • Equations Of Motion
  • Fluid Dynamics
  • Kinetic Energy
  • Materials
  • Mechanical Engineering
  • Mechanics
  • Momentum
  • Rotation
  • Security

Fields of Study

  • Physics

Readers

  • Mathematical Modeling and Probability Theory.
  • Robotics and Automation.
  • Structural Dynamics.