Accession Number : ADA303097

Title :   Stability Analysis of a 2-D Acoustic/Structure Model.

Descriptive Note : Master's thesis,

Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CA

Personal Author(s) : Shehan, Joe M.

PDF Url : ADA303097

Report Date : JUN 1995

Pagination or Media Count : 90

Abstract : Reliably modeling noise attenuation through interaction with vibrating boundary structures is fundamental to the formulation of effective active noise control systems. In this paper we investigate, through numerical approximation, uniform exponential stability of two systems which model the acoustic/structure interaction of an air-filled, rectangular cavity. The first model assumes dissipative boundary conditions along one side of the boundary, while the second assumes dissipative boundary conditions along all four sides of the cavity. We obtain weak variational formulations for these models, express each as finite dimensional systems, and use the Galerkin technique to transform the distributed parameter systems into systems of ordinary differential equations. We analyze the stability of the finite dimensional systems in order to gain insight into the stability of the original infinite dimensional systems. Essentially, our analysis consists of solving a generalized eigenvalue problem and observing where the eigenvalues lie within the complex plane. This stability analysis leads us to conclude that one model is better suited for use 5n the formulation of the noise control problem. (AN)

Descriptors :   *MATHEMATICAL MODELS, *ACOUSTIC ATTENUATION, ALGORITHMS, STABILITY, VIBRATION, PARAMETERS, ACOUSTIC WAVES, MATRICES(MATHEMATICS), THESES, DISSIPATION, EIGENVALUES, APPROXIMATION(MATHEMATICS), BOUNDARY VALUE PROBLEMS, POLYNOMIALS, SOUND TRANSMISSION, PARTIAL DIFFERENTIAL EQUATIONS, PERTURBATIONS, NOISE REDUCTION, TWO DIMENSIONAL FLOW, NUMERICAL METHODS AND PROCEDURES, EXPONENTIAL FUNCTIONS, SOUND PRESSURE, ACOUSTIC FIELDS, VARIATIONAL METHODS, ACOUSTIC IMPEDANCE, CAVITATION.

Subject Categories : Operations Research
      Acoustics

Distribution Statement : APPROVED FOR PUBLIC RELEASE