Abstract:An inverse wavenumber identification tool is used to characterize the vibration behavior of three structures and meta-structures with different complexity levels: a plane steel panel, a curved thick composite sandwich shell and a stiffened aluminum aircraft sidewall panel. Bare structures are first studied and then equipped with spatially distributed small-scale resonators, leading to meta-structures. For the two curved panels, tests are conducted under diffuse acoustic field and point mechanical excitations. … Show more
“…The resulting loss factor estimate is valid for thin and for thick plates. An interesting application could be to use this definition and damping identification methodologies on other complex structures like ribbed panels [28], periodic structures / meta-materials [40] Table 2). 12 4 K-space representation of the correlation factor of IWC applied on the measurements of the laminated composite plate at f = 2 kHz (a), 5 kHz (b) and 8 kHz (c).…”
Section: Resultsmentioning
confidence: 99%
“…The spacing between consecutive points of the mesh in the x and y direction is ∆ x = ∆ y = 5.3 mm. The wave fitting approach IWC [15,16,28] (Inhomogeneous Wave Correlation) is used for the processing of the measured data. A correlation function, given by Eq.…”
Section: Experimental Estimation Of the Equivalent Rigidities Of A Lamentioning
This paper presents the modelling and the dynamic characterization of laminated composite plates and sandwich structures in terms of stiffness and damping. The developments used in this paper are based on the analytical multilayer model of Guyader and Lesueur (JSV, 1978). The model considers linear shear, membrane and bending effects in each layer. The characteristics of the structure are determined by means of an equivalent thin plate methodology. The first main novelty of this paper consists in adapting this methodology for laminated plates (orthotropic multilayers with arbitrary orthotropic angle per layer). An experimental validation of this adaptation is presented for a laminated composite plate. Concerning the modelling of the structural loss factor, a space domain definition based on the spatial attenuation of a plane wave is compared to an energetic method and an equivalent definition based on the thin plate theory. The results show that the equivalent definition overestimates the loss factor in high frequencies since the thin plate theory only considers the flexural behaviour of the structure. On the contrary, the space domain definition (which give similar results as compared to the energetic one for lightly damped structures) considers the frequency dependent variation of the dynamic behaviour of the structure by means of the ratio between the group and phase velocities. The latter approach is considered to be more correct. The second main novelty of this article is on the experimental validation of this space domain definition. The structural loss factors of two sandwich structures are Article published in Journal of Sound and Vibration identified from measurements using modal, energetic and spatial methods. The results using the space domain definition are in very good agreement with the analytical predictions and the estimations of the modal and energetic methods for both plates for a large frequency band (up to 20 kHz), demonstrating the validity of the approach developed in this paper.
“…The resulting loss factor estimate is valid for thin and for thick plates. An interesting application could be to use this definition and damping identification methodologies on other complex structures like ribbed panels [28], periodic structures / meta-materials [40] Table 2). 12 4 K-space representation of the correlation factor of IWC applied on the measurements of the laminated composite plate at f = 2 kHz (a), 5 kHz (b) and 8 kHz (c).…”
Section: Resultsmentioning
confidence: 99%
“…The spacing between consecutive points of the mesh in the x and y direction is ∆ x = ∆ y = 5.3 mm. The wave fitting approach IWC [15,16,28] (Inhomogeneous Wave Correlation) is used for the processing of the measured data. A correlation function, given by Eq.…”
Section: Experimental Estimation Of the Equivalent Rigidities Of A Lamentioning
This paper presents the modelling and the dynamic characterization of laminated composite plates and sandwich structures in terms of stiffness and damping. The developments used in this paper are based on the analytical multilayer model of Guyader and Lesueur (JSV, 1978). The model considers linear shear, membrane and bending effects in each layer. The characteristics of the structure are determined by means of an equivalent thin plate methodology. The first main novelty of this paper consists in adapting this methodology for laminated plates (orthotropic multilayers with arbitrary orthotropic angle per layer). An experimental validation of this adaptation is presented for a laminated composite plate. Concerning the modelling of the structural loss factor, a space domain definition based on the spatial attenuation of a plane wave is compared to an energetic method and an equivalent definition based on the thin plate theory. The results show that the equivalent definition overestimates the loss factor in high frequencies since the thin plate theory only considers the flexural behaviour of the structure. On the contrary, the space domain definition (which give similar results as compared to the energetic one for lightly damped structures) considers the frequency dependent variation of the dynamic behaviour of the structure by means of the ratio between the group and phase velocities. The latter approach is considered to be more correct. The second main novelty of this article is on the experimental validation of this space domain definition. The structural loss factors of two sandwich structures are Article published in Journal of Sound and Vibration identified from measurements using modal, energetic and spatial methods. The results using the space domain definition are in very good agreement with the analytical predictions and the estimations of the modal and energetic methods for both plates for a large frequency band (up to 20 kHz), demonstrating the validity of the approach developed in this paper.
“…The wavenumber dispersion relation is identified by maximizing the function F (ω, k x ) given in Equation (1). The wave-correlation-based approaches allows investigating elastic and viscoelastic materials in a broad frequency range [23][24][25][26]. Moreover, it could be convenient to fit the evaluated wavenumbers with an analytical dispersion relation.…”
Section: Characterization Of the Panel's Elastic Propertiesmentioning
Natural fiber-filled polymers offer good mechanical properties and economic competitiveness compared to traditional materials. Wood flour is one of the most widely used fillers, and the resulting material, known as wood plastic composite (WPC), has already found a wide applicability in many industrial sectors including automotive and building construction. This paper, as a followup of a previous study on a numerical-based approach to optimize the sound transmission loss of WPC panels, presents an extensive numerical and experimental vibro-acoustic analysis of an orthotropic panel made out of WPC boards. Both structural and acoustical excitations were considered. The panel radiation efficiency and its transmission loss were modeled using analytic and semi-analytic approaches. The mechanical properties of the structure, required as input data in the prediction models, were numerically determined in terms of wavenumbers by means of finite element simulations, and experimentally verified. The accuracy of the predicted acoustic performances was assessed by comparing the numerical results with the measured data. The comparisons highlighted a significant influence of the junctions between the WPC boards, especially on the panel’s transmission loss. The radiation efficiency results were mostly influenced by the boundary conditions of the plate-like structure. This latter aspect was further investigated through a finite element analysis.
“…Wavenumber extraction is used in many applications among several domains including: high resolution direction of arrival estimation, protection of electrical power lines [1] and more broadly, electronic surveillance measures. In the context of vibroacoustics, wavenumber extraction provides insights into the wave propagation features of given media [2], can be used for model updating purposes [3] and also for the characterization of periodic structures [4]. Because of its wide range of applications, a number of wavenumber extraction methods have been developed in the literature [1,3,[5][6][7][8][9][10].…”
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