Well-Posedness of a Model for Structural Acoustic Coupling in a Cavity Enclosed by a Thin Cylindrical Shell

Abstract

A fully coupled mathematical model describing the interactions between a vibrating thin cylindrical shell and an enclosed acoustic field is presented. Because the model will ultimately be used in control applications involving piezoceramic actuators, the loads and material contributions resulting from piezoceramic patches bonded to the shell are included in the discussion. Theoretical and computational issues lead to the consideration of a weak form of the modeling set of partial differential equations (PDE's) and through the use a semigroup formulation, well-posedness results for the system model are obtained.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1993
Accession Number
ADA262893

Entities

People

  • H. Thomas Banks
  • R. C. Smith

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Acoustic Fields
  • Acoustics
  • Aeronautics
  • Boundaries
  • Composite Materials
  • Computational Science
  • Differential Equations
  • Dynamics
  • Equations
  • Equations Of Motion
  • Extrapolation
  • Hilbert Space
  • Materials
  • Mathematical Analysis
  • Partial Differential Equations
  • Theorems
  • Two Dimensional

Fields of Study

  • Mathematics
  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Materials Science and Engineering.
  • Structural Dynamics.