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

Abstract

This report concerns several aspects of active and passive stabilization of materials and structures, together with related dynamic problems with potential applications to stabilization. Results are described for determination of the interacting effects of viscoelastic and feedback dissipation in the damping of oscillations in certain rods and beams. Loss of stability or of well-posedness due to feedback delays is described. Additional results concern analysis of energy decay in elastic beams and an investigation of the Signorini problem for motion of an elastic body that abuts a rigid obstacle. Numerical and analytic studies are described for Bingham fluids as well as for several problems involving two-fluid flows. Finally, work on control problems for the Navier-Stokes equations is summarized.

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Document Details

Document Type
Technical Report
Publication Date
Jul 24, 1989
Accession Number
ADA216468

Entities

People

  • Kenneth B. Hannsgen
  • Robert L. Wheeler

Organizations

  • Virginia Tech

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Control Systems
  • Couette Flow
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Fluid Flow
  • Formulas (Mathematics)
  • Incompressible Flow
  • Materials
  • Mathematics
  • Navier Stokes Equations
  • Partial Differential Equations
  • Poiseuille Flow
  • Three Dimensional
  • Timoshenko Beam
  • Wave Equations

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Fluid Dynamics.