Nonlinear forced vibration of damped plates coupling asymptotic numerical method and reduction models

Boumediene, Faiza; Duigou, Laëtitia; Boutyour, El Hassan; Miloudi, A.; Cadou, Jean-Marc

doi:10.1007/s00466-010-0549-2

Cited by 17 publications

(17 citation statements)

References 29 publications

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“…The computation of the modal derivatives with a commercial finite elements code is based on a finite difference scheme that requires the extraction of the tangent stiffness matrix, which renders the strategy more intrusive [44]. An asymptotic expansion of a full finite element discretization proposed in [45] can lead to build a different reduction basis than the modal one which gives satisfactory results [46].…”

Section: Introductionmentioning

confidence: 99%

On the frequency response computation of geometrically nonlinear flat structures using reduced-order finite element models

et al. 2019

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Section: Introductionmentioning

confidence: 99%

On the frequency response computation of geometrically nonlinear flat structures using reduced-order finite element models

et al. 2019

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“…This kind of technique has been successfully applied to solve nonlinear vibrations [29], to define an efficient prediction-correction scheme [30] or to compute bifurcations in fluid mechanics [31]:…”

Section: Asymptotic Numerical Basis (Anb)mentioning

confidence: 99%

Forced harmonic response of viscoelastic sandwich beams by a reduction method

Boumediene

Daya

Cadou

et al. 2016

Mechanics of Advanced Materials and Structures

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International audienceThe aim of this article is to develop a reduction method to determine the forced harmonic response of viscoelastic sandwich structures at a reasonable computational cost. The numerical resolution is based on the asymptotic numerical method. This type of problem is complex, and its number of degrees of freedom is double the number of the undamped structure, leading to a high computational time. To address the problem, three reduction methods are evaluated, which differ from the projection operator. Numerical tests have been performed in the case of cantilever sandwich beams. The comparison of the results obtained by the reduction order resolution with those given by the full order resolution shows both a good agreement and a significant reduction in computational cost

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“…A state-in-art and critical review about the measurement of composite structures’ loss factor was presented by Mead (2007), who discussed the heavily damped beam and plate with uniform VDM layers. In the analysis of composite laminate/sandwich structures, there were plenty of research methods and theories, such as the finite element method (FEM) (Ferreira et al., 2013; Moita et al., 2013; Demir and Oz, 2014), laminate plate theories (Robbins and Reddy, 1993; Nguyen and Nguyen, 2015; Huang et al., 2016), asymptotic methods (Chen and Wang, 2009; Boumediene et al., 2011; Zhou et al., 2015, 2016b Zhou and Yu, 2019) and EMs (Trindade, 2010; De Fenza et al., 2016).…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, the asymptotic method and modified asymptotic method have been widely employed to obtain analytical solutions to the problem of composite laminate structures. The composite laminate structures may be composite beams (Chen and Wang, 2009), plates (Saha et al., 2007; Boumediene et al., 2011), and shells (Saha et al., 2007; Georgiades et al., 2010).…”

Section: Introductionmentioning

confidence: 99%

Experimental investigation of the dissipation characteristic of sandwich structures with periodically perforated viscoelastic damping material core

Zhou

Wang

et al. 2019

Journal of Vibration and Control

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Wave energy can be dissipated gradually when it is propagated in viscoelastic damping material (VDM) composite structures. In this paper, after the specimens with different opening ratios (ORs) of VDM layer are prepared, the elastic wave energy propagation and dissipation characteristic of periodically perforated VDM cored sandwich structures are investigated by an experimental method. The sandwich structures are discretized into several testing points in our experiment. When the complex velocity, equivalent effective mass, and external excitation forces have been obtained at each testing point by sensors, the energy dissipation in the sandwich structure is determined based on the energy dissipation mechanism of wave transmission in solid. The experimental results are then compared with theoretical and numerical simulation results. By analyzing the computational accuracy of theoretical and numerical results using experimental data, it is shown that high consistency between theoretical, numerical, and experimental results can be achieved, especially in the medium-frequency and high-frequency ranges. Thus, our experimental results demonstrate that periodically perforated VDM sandwich structures can be applied to engineering practice for their good performance of dissipation characteristics in the middle-frequency and high-frequency ranges.

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Nonlinear forced vibration of damped plates coupling asymptotic numerical method and reduction models

Abstract: International audienc

Cited by 17 publications

References 29 publications

On the frequency response computation of geometrically nonlinear flat structures using reduced-order finite element models

On the frequency response computation of geometrically nonlinear flat structures using reduced-order finite element models

Forced harmonic response of viscoelastic sandwich beams by a reduction method

Experimental investigation of the dissipation characteristic of sandwich structures with periodically perforated viscoelastic damping material core

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