Full Article - Open Access.

Idioma principal

ITM-Based FSI-Models for Room Acoustical Simulations

Buchschmid, M.; Müller, G.; Pospiech, M.;

Full Article:

In many different fields of engineering, like automotive industry or civil engineering, room acoustical tasks are of interest. Sound fields have to be predicted in order to design the acoustic cavity by placing acoustic elements like reflectors or absorbers (passive absorbers or plate resonators) into the room for example. Therefore models for the Fluid Structure Interaction (FSI) are used, where passive absorbers or plate resonators can be considered. For simulations of the spatial resolution of the sound field within acoustic cavities very often techniques based on Finite Element formulations are used. In order to reduce the number of degrees of freedom and therefore the numerical effort, a model reduction method, based on a Component Mode Synthesis (CMS), is applied in this contribution. The advantage is related to the fact, that the modal analysis is done only once for the rigid walled cavity, which is modeled with Spectral Finite Elements (SFEM). The cavity boundary conditions, e.g. compound absorbers made of homogenous plates and porous foams, are modeled using Integral Transform Methods (ITM). Therefore the differential equations of motion are established for the individual components, where the Lam´e Equation is used for homogenous and the Theory of Porous Media (TPM) for porous materials. These equations are solved in the wavenumber-frequency domain after applying a Fourier Transformation. The results (wavenumber dependent impedances) for the absorptive structure are coupled with the acoustic cavity adding interface coupling modes for the fluid and applying Hamilton’s principle, considering the velocity of both components to coincide as a constraint at the interface. The method is presented and models of the subsystems, the absorber and the fluid, are shown. Finally examples for the simulation of the coupled structure are presented.

Full Article:

Palavras-chave: Room Acoustics, Fluid Structure Interaction, Component Mode Synthesis, Integral Transform Methods.,


DOI: 10.5151/meceng-wccm2012-18895

Referências bibliográficas
  • [1] de Boer, R.: Theory of Porous Media. Highlights in Historical Development and Current State. Springer (2000)
  • [2] de Boer, R.: Trends in Continuum Mechanics of Porous Media. Theory and Applications of Transport in Porous Media. Springer (2005)
  • [3] Buchschmid, M.: ITM-based FSI-models for rooms with absorptive boundaries. Ph.D. thesis, TU München (2011)
  • [4] Buchschmid, M., Müller, G.: Modeling of wave number dependent absorptive characteristics with the help of the theory of porous media. In: EURODYN Conference (2008)
  • [5] Buchschmid, M., Müller, G., Kropp, A.: Closing the mid-frequency-gap: Acoustic biw design using a hybrid sea-fea approach. In: The 16th International Congress on Sound and Vibration, Krakow, Poland, ICSV16 (2009)
  • [6] Buchschmid, M., Pospiech, M., Müller, G.: ITM-based FSI-models for applications in room acoustics. In: COMPDYN Conference (2009)
  • [7] Buchschmid, M., Pospiech, M., Müller, G.: Coupling impedance boundary conditions for absorptive structures with spectral finite elements in room acoustical simulations. Computing and Visualization in Science pp. DOI: 10.1007/s00,791–010–0148–y (2011)
  • [8] Gekeler, E.: Mathematische Methoden zur Mechanik. Springer (2006)
  • [9] Hurty, W.: Vibrations of structural systems by component-mode synthesis. Journal of Engineering Mechanics (ASCE) 86(4), 51–69 (1960)
  • [10] Hurty, W.: Dynamic analysis of structural systems using component modes. AIAA Journal 3 (4), 678–685 (1965)
  • [11] Larbi, W., De, J.F., Ohayon, R.: Finite element formulations for structural-acoustic internal problems with poroelastic treatment. In: COMPDYN Conference (2009)
  • [12] Pospiech, M.: Numerical simulations in room acoustics using direct coupling techniques and finite elements. Ph.D. thesis, TU München (2011)
Como citar:

Buchschmid, M.; Müller, G.; Pospiech, M.; "ITM-Based FSI-Models for Room Acoustical Simulations", p. 2545-2558 . In: In Proceedings of the 10th World Congress on Computational Mechanics [= Blucher Mechanical Engineering Proceedings, v. 1, n. 1]. São Paulo: Blucher, 2014.
ISSN 2358-0828, DOI 10.5151/meceng-wccm2012-18895

últimos 30 dias | último ano | desde a publicação