A robust component mode synthesis method for stochastic damped vibroacoustics

Tran, Quang Hung; Ouisse, Morvan; Bouhaddi, Noureddine

doi:10.1016/j.ymssp.2009.06.016

Cited by 30 publications

(18 citation statements)

References 18 publications

(26 reference statements)

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“…In general, these approaches of solving these nonlinear eigenvalue problems can be split into state-space approaches [20,21,[33][34][35][36][37] and real modes based approaches [38][39][40][41][42][43][44][45][46]. These state-space approaches transform the nonlinear eigenvalue problem into a linear eigenvalue problem by using some additional internal dissipation variables.…”

Section: Complex Frequency and Mode Shapementioning

confidence: 99%

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Dynamics of structural systems with various frequency-dependent damping models

Deng

et al. 2015

Front. Mech. Eng.

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The aim of this paper is to present the dynamic analyses of the system involving various damping models. The assumed frequency-dependent damping forces depend on the past history of motion via convolution integrals over some damping kernel functions. By choosing suitable damping kernel functions of frequency-dependent damping model, it may be derived from the familiar viscoelastic materials. A brief review of literature on the choice of available damping models is presented. Both the mode superposition method and Fourier transform method are developed for calculating the dynamic response of the structural systems with various damping models. It is shown that in the case of non-deficient systems with various damping models, the modal analysis with repeated eigenvalues are very similar to the traditional modal analysis used in undamped or viscously damped systems. Also, based on the pseudo-force approach, we transform the original equations of motion with nonzero initial conditions into an equivalent one with zero initial conditions and therefore present a Fourier transform method for the dynamics of structural systems with various damping models. Finally, some case studies are used to show the application and effectiveness of the derived formulas.

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Section: Complex Frequency and Mode Shapementioning

confidence: 99%

“…(1) is a non-deficient system and these eigenvectors should satisfy Eq. (36), and then the FRF matrix (transfer function matrix or receptance matrix) can be expressed as …”

Section: Frequency Response Functionsmentioning

confidence: 99%

Dynamics of structural systems with various frequency-dependent damping models

Deng

et al. 2015

Front. Mech. Eng.

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“…15 Therefore, in the context of modal reduction, they have been used for different purposes. Among the main possibilities, residual responses may be added, once orthogonalized, in reduction bases that are built iteratively; 16 they may also be used to take into account additional terms not included in the eigenvalue problem, 17,18 or modified parameters in an optimization procedure. 19 In fact, the residue provides a natural way to correct the reduction basis as it includes missing components.…”

Section: Modal Contribution Criterion Using a Residual Forcementioning

confidence: 99%

A residue-based mode selection and sorting procedure for efficient poroelastic modeling in acoustic finite element applications

Rumpler

Göransson

Deü

2013

The Journal of the Acoustical Society of America

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Analysis of three-dimensional sound propagation in porous elastic media with the Finite Element (FE) method is, in general, computationally costly. Although it is the most commonly used predictive tool in complex noise control applications, efficient FE solution strategies for large-size industrial problems are still lacking. In this work, an original procedure is proposed for the sorting and selection of the modes in the solution for the sound field in homogeneous porous domains. This procedure, validated on several 2D and 3D problems, enables to reduce the modal basis in the porous medium to its most physically significant components. It is shown that the size of the numerical problem can be reduced, together with matrix sparsity improvements, which lead to the reduction in computational time and enhancements in the efficacy of the acoustic response computation. The potential of this method for other industrial-based noise control problems is also discussed.

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“…Updating the fluid basis by including this response leads to a new reduced basis. This new residual basis is written as [6]:…”

Section: Rom For Coupled Fluid Problemmentioning

confidence: 99%

A reduced order model for nonlinear vibroacoustic problems

Gerges

Guedri

Sadoulet-Reboul

et al. 2012

MATEC Web of Conferences

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Abstract. This work is related to geometrical nonlinearities applied to thin plates coupled with fluid-filled domain. Model reduction is performed to reduce the computation time. Reduced order model (ROM) is issued from the uncoupled linear problem and enriched with residues to describe the nonlinear behavior and coupling effects. To show the efficiency of the proposed method, numerical simulations in the case of an elastic plate closing an acoustic cavity are presented.

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A robust component mode synthesis method for stochastic damped vibroacoustics

Abstract: International audienc

Cited by 30 publications

References 18 publications

Dynamics of structural systems with various frequency-dependent damping models

Dynamics of structural systems with various frequency-dependent damping models

A residue-based mode selection and sorting procedure for efficient poroelastic modeling in acoustic finite element applications

A reduced order model for nonlinear vibroacoustic problems

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