Dynamic and acoustic response of bidirectionally stiffened plates with eccentric stiffeners subject to airborne and structure-borne excitations

Mejdi, Abderrazak; Atalla, Noureddine

doi:10.1016/j.jsv.2010.04.007

Cited by 34 publications

(10 citation statements)

References 31 publications

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“…Different approaches exist to evaluate the free vibration of stiffened plates. Analytical models, such as the assumed-modes approach, have been presented [16,20] and they are valid within the assumption of light stiffeners; usually the in-plane motion of the plate is neglected and the platestiffener interface is treated as a line. Alternatively, a structural in vacuo FE model can provide more accurate results as it usually involves less simplification than an analytical model representation.…”

Section: Structural Modelmentioning

confidence: 99%

“…The proposed approach provides a new framework for evaluating the coupled vibroacoustic response of flat plates, stiffened or not, to incident sound in terms of some of the existing formulated vibroacoustic quantities (radiation efficiency and/or Joint Acceptance Functions). Compared to similar studies ([4] [16]) , the proposed approach gives a concise step by step formulation which only requires the in-vacuo modal parameters and extends the applicability to finite, stiffened plates with arbitrary boundary conditions subjected to either plane wave or diffuse field excitation. In addition, a significant computational reduction is achieved whilst retaining good accuracy compared to a fully coupled, numerical FE-BE solution.…”

Section: Introductionmentioning

confidence: 99%

“…Compared to a non-coupled solution, the effect of vibroacoustic coupling resulted mostly in added damping for thin plates in air. Mejdi [16] extended this analysis to stiffened plates by using a modal expansion technique together with the full radiation impedance matrix. The spatial-averaged mean square velocity and radiated power due to a point source excitation were predicted and compared with the FEM and BEM formulation to examine the effect of cross modal contributions.…”

Section: Introductionmentioning

confidence: 99%

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Vibroacoustic response of stiffened thin plates to incident sound

2021

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A model was developed and applied for predicting the vibroacoustic response of stiffened plates excited by different incident sound fields. A relationship between the Joint Acceptance Function (JAF) and the modal radiation efficiency is derived. This allows a direct calculation for both the vibration response and the sound transmission loss (TL) in the presence of a diffuse field whilst accounting for full vibroacoustic coupling. The response for different structural configurations, plane versus diffuse acoustic excitation and modelling approximations are highlighted, so presenting a systematic quantification of the factors influencing the vibroacoustic response. It is found that vibroacoustic coupling is enhanced by the presence of stiffeners, with the effects for different types of acoustic excitation and the contribution from the modal cross terms being most significant for the TL results.A coupled FE-BE numerical model of stiffened plate and other empirical formulae for unstiffened plate are subsequently used for the validation and verification of the proposed model. The results show that the computational cost of simulation can be significantly reduced with a small loss of accuracy when using the proposed model in comparison to the fully coupled FE-BE numerical model.

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Section: Structural Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Vibroacoustic response of stiffened thin plates to incident sound

2021

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“…The light fluid assumption is also made as it implies omitting inter-modal coupling brought by the action of a fluid on the structure. Several authors have shown that these couplings are negligible at the first order [31], [68], [29] or do not change the general tendencies [69], [41], [54]. However, other authors have shown that some changes can occur in the case of heterogeneous boundary conditions, high…”

Section: Iiib Acoustic Radiation Of a Non-rectangular Ribbed Structurementioning

confidence: 99%

A modal approach to piano soundboard vibroacoustic behavior

Trévisan

Ege

Laulagnet

2017

The Journal of the Acoustical Society of America

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This paper presents an analytical method for modeling the vibro-acoustic behavior of ribbed non-rectangular orthotropic clamped plates. To do this, the non-rectangular plate is embedded in an extended rectangular simply supported plate on which a spring distribution is added, blocking the extended part of the surface, and allowing the description of any inner surface shapes. The acoustical radiation of the embedded plate is ensured using the radiation impedances of the extended rectangular simply supported plate. This method is applied to an upright piano soundboard: a non-rectangular orthotropic plate ribbed in both directions by several straight stiffeners. A modal decomposition is adopted on the basis of the rectangular extended simply supported plate modes, making it possible to calculate the modes of a piano soundboard in the frequency range [0;3000] Hz, showing the different associated mode families. Likewise, the acoustical radiation is calculated using the radiation impedances of a simply supported baffled plate, demonstrating the influence of the string coupling point positions on the acoustic radiated power. The paper ends with the introduction of indicators taking into account spatial and spectral variations of the excitation depending on the notes, which add to the accuracy of the study from the musical standpoint. A parametrical study, which includes several variations of soundboard design, highlights the complexity of rendering high-pitched notes homogeneous.

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“…The regularity of the structure of the reinforced shell allows using analytical approaches for solving the problem of its vibrations. A large number of works, which are par tially reflected in reviews [1][2][3] and in [4][5][6][7][8], have been devoted to vibrations of regularly reinforced frames shells, plates, and beams. The authors applied the space harmonic expansion method for an orthog onally reinforced shell in [9].…”

Section: Introductionmentioning

confidence: 99%

A complex of analytical models for predicting noise in an aircraft cabin

Efimtsov

Lazarev

2012

Acoust. Phys.

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A series of analytical calculated models for predicting the noise in an aircraft cabin is developed: an orthotropic model, a model with discrete frames, a model with discrete stringers, a model with isolated cells, and a model with a cross system of discrete ribs. The analytical solution is constructed on the basis of the method of space harmonic expansion. Vibrations are represented in the form of double trigonometric series. Strict periodicity allows dividing the series into a large number of independent groups, which makes it possible to effectively perform calculations for large fragments of the fuselage in the entire frequency region both for deterministic and random external force fields.

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Dynamic and acoustic response of bidirectionally stiffened plates with eccentric stiffeners subject to airborne and structure-borne excitations

Cited by 34 publications

References 31 publications

Vibroacoustic response of stiffened thin plates to incident sound

Vibroacoustic response of stiffened thin plates to incident sound

A modal approach to piano soundboard vibroacoustic behavior

A complex of analytical models for predicting noise in an aircraft cabin

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