Transfer matrix representation for periodic planar media

Parrinello, A.; Ghiringhelli, G.L.

doi:10.1016/j.jsv.2016.02.005

Cited by 25 publications

(24 citation statements)

References 29 publications

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“…The discrepancies are mainly due to manufacturing defects. Finally, contrary to Parrinelo et al [36], this method needs the dynamic stiffness of the complete unit cell including skins. Thereby, the number of dofs is higher and strongly affect the computational cost.…”

Section: Extraction Of the Stl Of Mlctsmentioning

confidence: 97%

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On the multi-scale vibroacoustic behavior of multi-layer rectangular core topology systems

Guenfoud

Droz

Ichchou

et al. 2020

Mechanical Systems and Signal Processing

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The present work deals with multi-layer rectangular core topology systems built up by stacking layers made of different rectangular core geometries. Multi-layer systems have been intensively studied in terms of mechanical performances whereas their vibroacoustic behavior, acoustic efficiency and design is however still an open issue. Several design parameters should be considered to fully understand the dynamic and acoustic behaviour of such structures. Therefore, this paper focuses on controlling the transition frequency and the Sound Transmission Loss (STL) by modifying geometrical parameters of the unit cell, while keeping the mass constant. Infinite panels and real wavenumbers will be considered in the study. The Wave Finite Element Method (WFEM) is used to obtain the targeted indicators. The proposed designs give the opportunity to shift the transition frequency and to control the flexural waves propagating in the structure. Besides, the STL is highly improved in the full frequency range of interest compared to a standard sandwich panel made of a single core.

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Section: Extraction Of the Stl Of Mlctsmentioning

confidence: 97%

“…It drastically reduces the computational cost by modelling only the unit cell and applying periodic conditions at their boundaries. The Transfer Matrix Method (TMM) [35] can be combined with the WFEM as proposed by Parrinello et al [36]. Besides, Christen et al [37] proposes the use of nodal surfaces calculation combined with the WFEM.…”

Section: Introductionmentioning

confidence: 99%

On the multi-scale vibroacoustic behavior of multi-layer rectangular core topology systems

Guenfoud

Droz

Ichchou

et al. 2020

Mechanical Systems and Signal Processing

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“…For the QRPCs, the acoustic impedance rate changes periodically along x-direction; consequently, it can be considered as a one-dimensional PCs. TMM is used widely to calculate the acoustic bandgaps because of the versatility and efficiency, 28,29 so that it is used to forecast the band structure of the QRPCs.…”

Section: Theoretical Analysis Of Local Resonantmentioning

confidence: 99%

Investigation on acoustic energy harvesting based on quarter-wavelength resonator phononic crystals

Guo

Wang

et al. 2018

Advances in Mechanical Engineering

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This article presents the development of an acoustic energy harvester using a quarter-wavelength resonator phononic crystals together with piezoelectric vibrators. The quarter-wavelength resonator phononic crystals consist of a main wave duct, several quarter-wavelength resonators, and equivalent piezoelectric vibrators. The acoustic energy is converted to mechanical energy when the sound incident in the quarter-wavelength resonator generates an oscillatory pressure as of localization efficiency, which in turns causes piezoelectric vibrators vibrating. Transfer matrix method is used to provide a physical insight into the structure band of the quarter-wavelength resonator phononic crystals, and finite element method is used to analyze the sound localization effect and evaluate the reclaimed energy of the quarterwavelength resonator phononic crystals. Results indicate that the numerical analysis agrees well with experiments. When the frequencies of the incident sound are near both sides of the bandgap, the maximum output voltage always can be obtained.

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“…Involving sound transmission through the structure thickness instead of the dispersion problem makes it possible to bypass any difficulty related to dispersion curves. A Transfer Matrix Method (TMM) is used to evaluate the required acoustic indicators, allowing to deal efficiently with structures with generic stratifications, possibly including in-plane periodic layers [12]. The correction accounting for real size and boundary conditions requires only few eigenfrequencies of the structure, making it possible to stem the computational cost related to the modal analysis.…”

Section: Introductionmentioning

confidence: 99%

“…In the frame of linear vibroacoustics, the wave approach on the basis of the TMM provides accuracy and efficiency in defining the sound transmission through planar structures with infinite extent, flat interfaces and homogeneous layers. However, the last two limitations can be overcome by involving a FE model for the periodic unit cell of each heterogeneous layer[12].…”

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confidence: 99%

Modal density of rectangular structures in a wide frequency range

Parrinello

Ghiringhelli

2018

Journal of Sound and Vibration

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A novel approach to investigate the modal density of a rectangular structure in a wide frequency range is presented. First, the modal density is derived, in the whole frequency range of interest, on the basis of sound transmission through the infinite counterpart of the structure; then, it is corrected by means of the low-frequency modal behavior of the structure, taking into account actual size and boundary conditions. A statistical analysis reveals the connection between the modal density of the structure and the transmission of sound through its thickness. A transfer matrix approach is used to compute the required acoustic parameters, making it possible to deal with structures having arbitrary stratifications of different layers. A finite element method is applied on coarse grids to derive the first few eigenfrequencies required to correct the modal density. Both the transfer matrix approach and the coarse grids involved in the finite element analysis grant high efficiency.

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Transfer matrix representation for periodic planar media

Cited by 25 publications

References 29 publications

On the multi-scale vibroacoustic behavior of multi-layer rectangular core topology systems

On the multi-scale vibroacoustic behavior of multi-layer rectangular core topology systems

Investigation on acoustic energy harvesting based on quarter-wavelength resonator phononic crystals

Modal density of rectangular structures in a wide frequency range

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