Motor car acoustic response modelling and order reduction via balanced model truncation

Kale, I.; Mackenzie, J.; Laakso, T.I.

doi:10.1049/el:19960686

Cited by 8 publications

(2 citation statements)

References 3 publications

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“…Previous work has demonstrated the success of this technique for a range of filter design problems and transfer function modeling of other acoustic systems [9]- [11].…”

mentioning

confidence: 99%

Low-order modeling of head-related transfer functions using balanced model truncation

Mackenzie

Huopaniemi²,

Välimäki³

et al. 1997

IEEE Signal Process. Lett.

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We propose a novel technique for the design of loworder infinite impulse response (IIR) filter models of head-related transfer functions (HRTF's) that uses balanced model truncation. We design tenth-order IIR filters, suitable for efficient real-time implementation, from preprocessed HRTF impulse responses that are of significantly superior quality to current IIR models derived with the Prony and Yule-Walker methods.

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“…Previous work has demonstrated the success of this technique for a range of filter design problems and transfer function modeling of other acoustic systems [9]- [11].…”

mentioning

confidence: 99%

Low-order modeling of head-related transfer functions using balanced model truncation

Mackenzie

Huopaniemi²,

Välimäki³

et al. 1997

IEEE Signal Process. Lett.

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“…Typically, these matters have been addressed by elaborate model order reduction (MOR) schemes such as Guyan reduction, the mode superposition (MS) method, the Ritz vector (RV) method, and the quasistatic Ritz vector (QSRV) method [1,2,[12][13][14][15]. New MOR schemes are a topic of active research, and the concepts underlying these schemes must be validated in practical engineering problems using computational mechanics [5,8,13,14,[16][17][18][19][20][21][22][23][24][25].…”

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confidence: 99%

Toward a multifrequency quasi‐static Ritz vector method for frequency‐dependent acoustic system application

Yoon

2011

Numerical Meth Engineering

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SUMMARYComputational issues concerning the calculation of acoustic responses of a complex finite element (FE) model for various noise and vibration inputs have become prevalent. Such a model requires a significant amount of computation time because of repeated inversions of dynamic stiffness matrices. Thus, even stateof-the-art computer hardware and software often face limitations where a model order reduction (MOR) scheme can help. The established MOR schemes such as Ritz vector or quasi-static Ritz vector methods are efficient for general engineering systems, but these MOR methods become inaccurate for frequency response analyses in some acoustic systems with frequency-dependent mass and stiffness matrices and force vectors (hereinafter frequency-dependent acoustic systems). To cope with the inaccurate prediction by these methods for frequency-dependent acoustic systems, this research presents and applies the multifrequency quasi-static Ritz vector method. Unlike the Ritz vector or quasi-static Ritz vector methods, the present multifrequency quasi-static Ritz vector method employs direct Krylov subspace bases without an orthonormal procedure at multiple center frequencies. In comparison with the existing MOR scheme, a significant gain in computational efficiency is achieved, as well as enhanced accuracy. A comparison of these methods based on criteria such as efficiency, accuracy, and reliability was also conducted.

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Transient quasi-static Ritz vector (TQSRV) method by Krylov subspaces and eigenvectors for efficient contact dynamic finite element simulation

Yoon

Kim

Jung

et al. 2015

Applied Mathematical Modelling

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Motor car acoustic response modelling and order reduction via balanced model truncation

Cited by 8 publications

References 3 publications

Low-order modeling of head-related transfer functions using balanced model truncation

Low-order modeling of head-related transfer functions using balanced model truncation

Toward a multifrequency quasi‐static Ritz vector method for frequency‐dependent acoustic system application

Transient quasi-static Ritz vector (TQSRV) method by Krylov subspaces and eigenvectors for efficient contact dynamic finite element simulation

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