An exact elasticity model for rib-stiffened plates covered by decoupling acoustic coating layers

Xin, Fengxian

doi:10.1016/j.compstruct.2014.09.024

Cited by 13 publications

(4 citation statements)

References 22 publications

(40 reference statements)

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“…Vescovini and Dozio 290 presented a Levy-type unified application for the exact refined buckling analysis when compared with 3D elasticity solution for laminated composite plates under different loading conditions. Xin 291 developed an exact 3D elasticity solutions for a rib stiffened plate merged with fluid covered by acoustic coating layers. The layers have been bonded by rib stiff plates calculated with acoustic equation of fluid motion.…”

Section: Laminate Theoriesmentioning

confidence: 99%

Development and applications of shear deformation theories for laminated composite plates: An overview

Maji¹,

Mahato

2020

Journal of Thermoplastic Composite Materials

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This review, overviews the development and applications of shear deformation (SD) laminated composite plate theories. The present overview mainly focuses on theoretical models based on SD theories of laminated composite plates. This comprehensive review has been categorized with an equivalent single-layer laminate and layerwise laminate theories. An equivalent single-layer laminate theory includes classical laminated plate theory, first-order shear deformation laminated theory, second-order shear deformation laminated theory, third-order shear deformation laminated theory, parabolic shear deformation laminated theory, trigonometric shear deformation laminated theory, hyperbolic shear deformation laminated theory, and higher order shear deformation laminated theory. The layerwise laminate theories include discrete-layer theories and zig-zag theories. In addition, the 3D elasticity solutions theory, the mixed (hybrid) plate theories, unified theories, advanced shear deformation theories, and the recently developed smart composite are also reviewed.

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Section: Laminate Theoriesmentioning

confidence: 99%

Development and applications of shear deformation theories for laminated composite plates: An overview

Maji¹,

Mahato

2020

Journal of Thermoplastic Composite Materials

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“…In spite of numerous contributions analysing their dynamic behaviour, e.g. see Cho et al [6], Morshedsolouk and Khedmati [7], Qing et al [8], Wang et al [9] and Xin [10], the bending wave localised near a reinforced plate edge has not yet been investigated. Such waves have been studied in great detail for a homogeneous plate with a traction-free edge, beginning with Konenkov [11]; see also the review articles of Lawrie and Kaplunov [12] and Norris et al [13], along with more recent publications [14,15] dealing with an elastically supported plate, as well as studies developing asymptotic parabolic-elliptic models [16,17].…”

Section: Introductionmentioning

confidence: 99%

Elastic bending wave on the edge of a semi-infinite plate reinforced by a strip plate

Alzaidi

Kaplunov

Prikazchikova

2019

Mathematics and Mechanics of Solids

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Elastic waves localised near the edge of a semi-infinite plate reinforced by a strip plate are considered within the framework of the 2D classical theory for plate bending. The boundary value problem for the strip plate is subject to asymptotic analysis, assuming that a typical wavelength is much greater than the strip thickness. As a result, effective conditions along the interface corresponding to a plate reinforced by a beam with a narrow rectangular cross-section are established. They support an approximate dispersion relation perturbing that for a homogeneous plate with a free edge. The accuracy of the approximate dispersion relation is tested by comparison with the numerical data obtained from the ‘exact’ matrix relation for a composite plate. The effect of the problem parameters on the localisation rate is studied.

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“…Indeed, nowadays simple structures like beams and isotropic plates are described well [24]- [33], but the design and modeling of ribbed B. Trévisan , K. Ege and B. Laulagnet 4 structures nonetheless remains a major topic of research. Most of these studies have focused on periodically ribbed isotropic flat plates [34]- [44], curved panels [45], stiffened cylindrical shells [46]- [53], and more recently laminated composite panels [54], [55] and sandwich structures [56]- [59].…”

Section: Introductionmentioning

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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An exact elasticity model for rib-stiffened plates covered by decoupling acoustic coating layers

Cited by 13 publications

References 22 publications

Development and applications of shear deformation theories for laminated composite plates: An overview

Development and applications of shear deformation theories for laminated composite plates: An overview

Elastic bending wave on the edge of a semi-infinite plate reinforced by a strip plate

A modal approach to piano soundboard vibroacoustic behavior

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