Simulation of a single mode wave generation in cylindrical systems applying numerical methods

• Autorzy: Gorazd Łukasz , Snakowska Anna
• Języki publikacji: EN

Abstrakty

EN

The paper presents simulations of a selected single mode generation in systems containing duct-like elements applying the finite element method (FEM). Simulations were carried out for values of the Helmholtz number exceeding the plane-wave propagation, i.e. for a multimode wave. The presented results constitute the first step to analyse propagation of the multimode wave through more complicated systems such as mufflers, even in a form of a cascade. Propagation of the incident wave in the form of a single mode greatly simplifies solutions of many problems, to mention only derivation of the transmission or the scattering matrices. The results obtained can be applied to analyse the effectiveness of attenuation of acoustic silencers or elements of heating, ventilation and air conditioning systems (HVAC) at the design stage. Results of simulations are compared with already published experimental data obtained in a measurement set-up containing the self-designed single mode synthesizer.

Słowa kluczowe

EN

cylindrical duct; multi-mode wave propagation; single mode generation

PL

kanał cylindryczny; wielomodowa propagacja fali; generacja pojedynczego modu

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2019
• Tom: Vol. 30, nr 1
• Strony: art. no. 2019118
• Opis fizyczny: Bibliogr. 7 poz., il. kolor., 1 rys.

Twórcy

autor

Gorazd Łukasz

• AGH University of Science and Technology, Faculty of Mechanical Engineering and Robotics, Krakow, Poland

autor

Snakowska Anna

• AGH University of Science and Technology, Faculty of Mechanical Engineering and Robotics, Krakow, Poland

Bibliografia

• 1. P. Joseph, P. A. Nelson, M. A. Fisher, Active control of fan tones radiated from turbofan engines. I. External error sensors, J. Acoust. Soc. Am., 106 (1999) 766 - 778.
• 2. A. Snakowska, J. Jurkiewicz, Efficiency of energy radiation from an unflanged cylindrical duct in case of multimode excitation, Acta Acustica united with Acustica, 96 (2010) 416 - 424.
• 3. L. A. Vainshtein, The theory of diffraction and the factorization method, Golem Press, 1969.
• 4. A. Sitel, J. M. Ville, F. Foucart, Multiload procedure to measure the acoustic scattering matrix of a duct discontinuity for higher order mode propagation conditions, J. Acoust. Soc. Am., 120 (2006) 2478 - 2490.
• 5. A. Snakowska, K. Kolber, Ł. Gorazd, J. Jurkiewicz, Derivation of an acoustic two-port scattering matrix for a multimode wave applying the single-mode generator, Acoustics 2018 proceedings of joint conference, IEEE (2018), 294 - 298.
• 6. A. Snakowska, Ł. Gorazd, J. Jurkiewicz, K. Kolber, Generation of a single cylindrical duct mode using a mode synthesizer, Applied Acoustics, 114 (2016) 56 - 70.
• 7. J. M. Auger, J. M. Ville, Measurement of linear impedance based on the determination of duct eigenvalues by a Fourier-Lommel's transform. J. Acoust. Soc. Am., 88(1) (1990) 19 - 22.

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).