A finite element method to compute damped vibration modes in dissipative acoustics

We analyze a quadratic eigenvalue problem related to the damped vibrations of an acoustic fluid in a cavity with absorbing walls. The problem is shown to be equivalent to the spectral problem for a non-compact operator and a thorough spectral characterization is given. We consider a discretization b...

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Detalles Bibliográficos
Autores principales: Bermúdez, A., Durán, R.G., Rodríguez, R., Solomin, J., Commission of European Communities (EC); Ministerio de Ciencia y Tecnologia; Generalitat de Catalunya, Comissio Interdepartamental; de Recerca i Innovacio Tecnologica (CIRIT); Autoritat Portuaria de Barcelona
Formato: CONF
Materias:
Dissipative acoustics
Finite element spectral approximation
Quadratic eigenvalue problems
Damped vibrations
Exact analytical solutions
Numerical results
Raviart-Thomas finite elements
Spectral approximations
Spectral characterization
Computational methods
Spectrum analyzers
Eigenvalues and eigenfunctions
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_84899257_v_n_p_Bermudez
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario:We analyze a quadratic eigenvalue problem related to the damped vibrations of an acoustic fluid in a cavity with absorbing walls. The problem is shown to be equivalent to the spectral problem for a non-compact operator and a thorough spectral characterization is given. We consider a discretization based on Raviart-Thomas finite elements and show that it is free of spurious modes and convergent with optimal order. Numerical results for a test case with known exact analytical solution are also included.

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