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Numerical methods for acoustics and noise control

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Julkaistu sarjassa
Jyväskylä studies in computing
Tekijät
Airaksinen, Tuomas
Päivämäärä
2010
Oppiaine
Tietotekniikka

 
This dissertation considers numerical methods for wave propagation modelling and noise control. The first part of the dissertation discusses an efficient method for solving time-harmonic wave equations in acoustic (the Helmholtz equation) and elastic domains (the Navier equation). The solver is based on preconditioning a Krylov subspace method, such as GMRES, with approximations of damped variants of the corresponding wave equations. An algebraic multigrid method is used in approximating the inverse of damped operators. The method can be used in complex three-dimensional computational domains with varying material properties. The second part of the dissertation considers noise control problems. Two different noise control problems are discussed in detail. First, a shape optimization of a duct system with respect to sound transmission loss is discussed. The sound transmission loss is maximized at multiple frequency ranges simultaneously, by adjusting the shape of a reactive muffler component. The noise reduction problem is formulated as a multiobjective optimization problem for the NSGA-II genetic algorithm. The discussed method provides an efficient approach to design muffler components. Second, a novel method is introduced for assessing the effectiveness of the optimal anti-noise for local sound control in a stochastic domain. A three-dimensional enclosed acoustic space, for example, a cabin with acoustic actuators in given locations, is modelled using the finite element method in the frequency domain. In a model problem, a significant noise reduction is demonstrated particularly at lower frequencies. ...
 
Artikkeliväitöskirja. Sisältää yhteenveto-osan ja viisi artikkelia.   Article dissertation. Contains an introduction part and five articles.
Julkaisija
University of Jyväskylä
ISBN
978-951-39-4037-9
ISSN Hae Julkaisufoorumista
1456-5390
Julkaisuun sisältyy osajulkaisuja
  • Article I: Airaksinen, T., Heikkola, E, Pennanen, A. & Toivanen, J. (2009). An algebraic multigrid based shifted-Laplacian preconditioner for the Helmholtz equation. Journal of Computational Physics 226 (2007) 1196-1210. Full text
  • Article II: Airaksinen, T., Pennanen, A. & Toivanen, J. (2009). A damping preconditioner for time-harmonic wave equations in fluid and elastic material. Journal of Computational Physics 228 (2009) 1466-1479. Full text
  • Article III: Airaksinen, T. & Mönkölä, S. (2010). Comparison between the shifted-Laplacian preconditioning and the controllability methods for computational acoustics. Journal of Computational and Applied Mathematics, 234 (6), 1796-1802. Full text
  • Article IV: Airaksinen, T., Heikkola, E. & Toivanen, J. (2009). Active noise control in a stochastic domain based on a finite element model. Reports of the Department of Mathematical Information Technology, Series B. Scientific Computing, B 1/2009 Please see (NB. changed title)
  • Article V: Airaksinen, T. & Heikkola, E. Multiobjective muffler shape optimization with hybrid acoustics modelling. Reports of the Department of Mathematical Information Technology, Series B. Scientific Computing, B 6/2006. Full text
Asiasanat
Acoustics Noise control melunvaimennus computational acoustics active noise control finite element method passive noise control shape optimization akustiikka meluntorjunta mallintaminen matemaattiset mallit
URI

http://urn.fi/URN:ISBN:978-951-39-4037-9

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  • Väitöskirjat [3178]

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  • Multi-objective actuator placement optimization for local sound control evaluated in a stochastic domain 

    Airaksinen, Tuomas; Aittokoski, Timo (Jyväskylän yliopisto, 2011)
    A method to find optimal locations and properties of anti-noise actuators in local noise control system is considered. The local noise control performance is approximated by a finite element method based approach, that ...
  • Lyapunov quantities and limit cycles in two-dimensional dynamical systems : analytical methods, symbolic computation and visualization 

    Kuznetsova, Olga (University of Jyväskylä, 2011)
  • Multi-objective actuator placement optimization for local sound control evaluated in a stochastic domain 

    Airaksinen, Tuomas; Aittokoski, Timo (Springer, 2013)
    A method to find optimal locations and properties of anti-noise actuators in a local noise control system is considered. The local noise control performance is approximated by an approach based on a finite element method, ...
  • An optimal local active noise control method based on stochastic finite element models 

    Airaksinen, Tuomas; Toivanen, Jari (Elsevier, 2013)
    A new method is presented to obtain a local active noise control that is optimal in stochastic environment. The method uses numerical acoustical modeling that is performed in the frequency domain by using a sequence of ...
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    Zand, Armin M.; Tavazoei, Mohammad Saleh; Kuznetsov, Nikolay V. (Institute of Electrical and Electronics Engineers (IEEE), 2022)
    This letter deals with a novel variant of antithetic integral feedback controller (AIFC) motifs which can feature robust perfect adaptation, a pervasive (desired) ability in natural (synthetic) biomolecular circuits, when ...
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