An efficient tool for predicting the structural acoustic and vibration response of sandwich plates in light or heavy fluid

Foin, Olivier; Nicolas, Jean; Atalla, Noureddine

doi:10.1016/s0003-682x(98)00059-0

Cited by 37 publications

(15 citation statements)

References 25 publications

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“…The frequencies and the mode shapes of the normal modes are given by (8), (12), and (13). The squared velocity of the calculated normal modes of the free disk between 0 and 100 kHz are shown in Fig.…”

Section: A Normal Modesmentioning

confidence: 99%

“…Fig. 8 shows the mean square velocity (proportional to the mechanical energy density [12]) as a function of frequency. As already observed, the clamping springs are responsible for the imperfect match between both the resonance frequencies and the general shape of the curve.…”

Section: Comparison Between Experimental and Theoretical Modesmentioning

confidence: 99%

“…The theoretical data for the phase velocity were obtained from the relation between γ nm and ω nm for the different eigenmodes in (12), which predicts a square root behavior. In our case of a finite disk, the boundary conditions imply the existence of only a discrete number of eigenmodes, resulting in a discrete number of points on the dispersion curve.…”

Section: B Experimental and Theoretical Dispersion Of The Bending Modesmentioning

confidence: 99%

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Study of the bending modes in circular quartz resonators

Leclaire

Goossens

Martinez

et al. 2006

IEEE Trans. Ultrason., Ferroelect., Freq. Contr.

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Abstract-An experimental and theoretical study of bending modes in a partially electroded circular piezoelectric quartz (AT-cut) with free edge is presented. The quartz is excited by a voltage pulse applied on the electrodes, and its surface is scanned by a laser vibrometer that measures the out-of-plane displacements. The classical theory of bending of thin disks is used to describe the flexural modes at frequencies lower than the first thickness shear resonance (6 MHz). A fairly good agreement is found between experimental and theoretical results for the forced mode shapes and for the resonance frequencies. However, it appears that the two springs used to maintain the disk in position introduce extra clamping conditions. Several source shapes were studied, among which a collection of an arbitrary number of forces is particularly useful. The two-dimensional wavenumber representation shows the presence of anisotropy related to the crystallographic axes at higher frequencies, which is not predicted by the model. The experimental phase velocities are compared to those given by the classical theory of disks and to those of Lamb A0 mode. This study confirms the correspondence at low frequencies between the A0 mode and the bending eigenmodes of a disk with finite size.

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Section: A Normal Modesmentioning

confidence: 99%

Section: Comparison Between Experimental and Theoretical Modesmentioning

confidence: 99%

Section: B Experimental and Theoretical Dispersion Of The Bending Modesmentioning

confidence: 99%

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Study of the bending modes in circular quartz resonators

Leclaire

Goossens

Martinez

et al. 2006

IEEE Trans. Ultrason., Ferroelect., Freq. Contr.

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“…Sorokin [8] has done a vibro-acoustic analysis of a submerged sandwich plate, in which a two-dimensional formulation relevant to cylindrical bending of a plate is explored. Foin and colleagues [9] have analyzed the vibro-acoustic problem of sandwich plates submerged in fluid theoretically.…”

Section: Introductionmentioning

confidence: 99%

Vibration and Acoustic Response of Rectangular Sandwich Plate under Thermal Environment

Liu

2013

Shock and Vibration

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In this paper, we focus on the vibration and acoustic response of a rectangular sandwich plate which is subjected to a concentrated harmonic force under thermal environment. The critical buckling temperature is obtained to decide the thermal load. The natural frequencies and modes as well as dynamic responses are acquired by using the analytical formulations based on equivalent non-classical theory, in which the effects of shear deformation and rotational inertia are taken into account. The rise of thermal load decreases the natural frequencies and moves response peaks to the low-frequency range. The specific features of sandwich plates with different formations are discussed subsequently. As the thickness ratio of facing to core increases, the natural frequencies are enlarged, and the response peaks float to the high-frequency region. Raising the Young's modulus of the core can cause the similar trends. The accuracy of the theoretical method is verified by comparing its results with those computed by the FEM/BEM.

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“…Sound radiation from plates in a heavy fluid has been fully studied by taking the fluid-structure coupling into consideration [1][2][3][4][5][6][7][8]. To reduce the sound radiation, the addition of decoupling materials to the surface of the plates has been studied in recent years.…”

Section: Introductionmentioning

confidence: 99%

Sound Radiation from an Elastically Restrained Plate Covered by an Acoustic Decoupling Layer

Wang

Li³

et al. 2015

Mathematical Problems in Engineering

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The sound radiation from elastically restrained plates covered by a decoupling layer is studied using the Spectrogeometric Method (SGM), which is a meshless and parametric modeling technique. By adopting the Rayleigh-Ritz procedure and the Rayleigh integral, a vibroacoustic coupling system is established. This model studies the situation when the plate is immersed in heavy fluid, such as water, in which the strong coupling between the structure and sound field should be fully considered. The influence of the boundary conditions on the radiated sound power and sound reduction provided by the decoupling layer based on the locally reacting model is studied. The nonuniform distributed decoupling layer is also studied to analyze the sound reduction effect. The sound intensity on the outer surface of the decoupling layer is investigated and tends to be uniform along the plate scale with increasing thickness of the decoupling layer.

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An efficient tool for predicting the structural acoustic and vibration response of sandwich plates in light or heavy fluid

Cited by 37 publications

References 25 publications

Study of the bending modes in circular quartz resonators

Study of the bending modes in circular quartz resonators

Vibration and Acoustic Response of Rectangular Sandwich Plate under Thermal Environment

Sound Radiation from an Elastically Restrained Plate Covered by an Acoustic Decoupling Layer

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