A computationally efficient prediction technique for the steady-state dynamic analysis of coupled vibro-acoustic systems

Desmet, Wim; Hal, Bas Van; Sas, Paul; Vandepitte, Dirk

doi:10.1016/s0965-9978(02)00062-5

Cited by 59 publications

(31 citation statements)

References 8 publications

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“…However, at this stage of development, the efficiency and the accuracy of the T(refftz)-element are still problemdependent. Within the field of vibro-acoustics, Desmet et al [17] proposed a least-square T-element approach for acoustics and a hybrid T-element approach for elasto-dynamic analysis. The key issue in the use of Trefftz method is the definition of a T-complete function set which ensures the convergence of the subsequent field variable expansions.…”

Section: State Of the Artmentioning

confidence: 99%

“…The analytic pressure is given by Eq. (17) where P N denotes the Legendre polynomial of order N, µ is the spherical polar angle, r is the spherical polar radius and h (2) N the spherical Bessel function of the second kind.…”

Section: Acoustic Convected Radiationmentioning

confidence: 99%

“…High order approximations were then proposed, based on the finite element method (hp formulations) [20] or on meshless methods [8,26]. By now, everybody seems to agree that it is even more advantageous to incorporate information from the solution itself into the numerical discrete subspace, as performed for instance in the wave envelope approach, the Discontinuous Galerkin FEM [18], the Trefftz based approach [11,17], the Variational Theory of Complex Rays [27,28] or generalised FEM [5,12].…”

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confidence: 99%

See 2 more Smart Citations

Some challenges in computational vibro-acoustics: verification, validation and medium frequencies

Bouillard

Almeida²,

Decouvreur

et al. 2007

Comput Mech

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The simulation of the wave propagation phenomenon is one of the most challenging issue in the computational mechanics field. Many questions are still open among which we quote: the need for reliable error estimators, preferably in local or engineering quantities, the need for reliable updating methods with respect to material absorption parameters, and, finally, the need for more accurate numerical solutions, particularly to extend the frequency range that can be properly simulated by deterministic approaches. This paper gives an overview showing that the key issue to face all these challenges is the control of the pollution error, mainly caused by the dispersion effect.

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Section: State Of the Artmentioning

confidence: 99%

Section: Acoustic Convected Radiationmentioning

confidence: 99%

mentioning

confidence: 99%

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Some challenges in computational vibro-acoustics: verification, validation and medium frequencies

Bouillard

Almeida²,

Decouvreur

et al. 2007

Comput Mech

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show abstract

“…In addition, special attention is paid to a particular Trefftz-based method, namely the so-called wave based method, on which the authors have provided a substantial scientific contribution [20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Trefftz-Based Methods for Time-Harmonic Acoustics

Pluymers

Hal

Vandepitte

et al. 2007

Arch Computat Methods Eng

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Over the last decade, Computer Aided Engineering (CAE) tools have become essential in the assessment and optimization of the acoustic characteristics of products and processes. The possibility of evaluating these characteristics on virtual prototypes at almost any stage of the design process reduces the need for very expensive and time consuming physical prototype testing. However, despite their steady improvements and extensions, CAE techniques are still primarily used by analysis specialists. In order to turn them into easy-to-use, versatile tools that are also easily accessible for designers, several bottlenecks have to be resolved. The latter include, amongst others, the lack of efficient numerical techniques for solving system-level functional performance models in a wide frequency range. This paper reviews the CAE modelling techniques which can be used for the analysis of time-harmonic acoustic problems and focusses on techniques which have the Trefftz approach as baseline methodology. The basic properties of the different methods are highlighted and their strengths and limitations are discussed. Furthermore, an overview is given of the state-of-the-art of the extensions and the enhancements which have been recently investigated to enlarge the application range of the different techniques. Specific attention is paid to one very promising Trefftz-based technique, which is the so-called wave based method. This method has all the necessary attributes for putting a next step in the evolution towards truly virtual product design.

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“…However, the wave based method (WBM) [10] , which adopts an indirect Trefftz approach, exhibits some promising features with respect to these three properties. Several validation examples [11][12][13] illustrated that, for all these types of field variables, the proposed wave based prediction technique yields accurate numerical prediction results that converge towards the exact solutions. In our previous work, a WBM was proposed to predict the acoustic properties of irregularly shaped cavities [14,15] .…”

Section: Introductionmentioning

confidence: 99%

A prediction technique for dynamic analysis of flat plates in mid-frequency range

Peng

Zhang

et al. 2007

Acta Mech. Solida Sin.

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The wave-based method (WBM) has been applied for the prediction of mid-frequency vibrations of flat plates. The scaling factors, Gauss point selection rule and truncation rule are introduced to insure the wave model to converge. Numerical results show that the prediction technique based on WBM is with higher accuracy and smaller computational effort than the one on FEM, which implies that this new technique on WBM can be applied to higher-frequency range.KEY WORDS mid-frequency range, Trefftz method, computational efficiency, numerical prediction technique

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A computationally efficient prediction technique for the steady-state dynamic analysis of coupled vibro-acoustic systems

Cited by 59 publications

References 8 publications

Some challenges in computational vibro-acoustics: verification, validation and medium frequencies

Some challenges in computational vibro-acoustics: verification, validation and medium frequencies

Trefftz-Based Methods for Time-Harmonic Acoustics

A prediction technique for dynamic analysis of flat plates in mid-frequency range

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