Energy Decay and Boundary Control for Distributed Parameter Systems with Viscoelastic Damping

Abstract

This report concerns several aspects of damping and control in distributed parameter systems, with emphasis on applications to elastic and viscoelastic structures. For viscoelastic bodies, the ineffectiveness of boundary feedback for damping nonoscillatory 'creep' decay was demonstrated, and a precise energy space formulation was developed for the viscoelastic wave equation. In addition, a reachability result was proved for a second-order linear integral equation. For elastic beams and plates, exact controllability and the exponential decay of energy were established in new settings. These include uniform exponential decay of energy by means of locally distributed damping in a one-dimensional nonhomogeneous medium, and, under certain boundary conditions, for longitudinal vibrations in a thermoelastic rod.

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Document Details

Document Type
Technical Report
Publication Date
Jan 03, 1991
Accession Number
ADA232997

Entities

People

  • Kenneth B. Hannsgen
  • Robert L. Wheeler

Organizations

  • Virginia Tech

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Applied Mathematics
  • Banach Space
  • Boundaries
  • Computational Science
  • Differential Equations
  • Equations
  • Feedback
  • Fluid Dynamics
  • Formulas (Mathematics)
  • Integral Equations
  • Mathematics
  • Partial Differential Equations
  • Students
  • Vibration
  • Wave Equations
  • Waves

Readers

  • Calculus or Mathematical Analysis
  • Control Systems Engineering.
  • Structural Dynamics.

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers