Localized bending waves in a transversely isotropic plate

Piliposian, G.T.; Belubekyan, M.V.; Ghazaryan, K.B.

doi:10.1016/j.jsv.2010.03.019

Cited by 21 publications

(22 citation statements)

References 18 publications

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“…The theory of flexural plate edge waves has been significantly developed in recent years, now taking into account anisotropy, layering, refined plate models [37][38][39][40][41][42] and the effects of fluid loading [43]. The existence and uniqueness of plate edge waves has been studied using the well-known Stroh formalism [44][45][46] and the Wiener-Hopf technique [47] has enabled the in depth study of edge waves generated on a semi-infinite crack in an otherwise infinite elastic plate [48][49][50].…”

Section: Flexural Edge Phenomena On Platesmentioning

confidence: 99%

Edge waves and resonance on elastic structures: An overview

Lawrie

Kaplunov

2011

Mathematics and Mechanics of Solids

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Copyright @ 2011 SAGE PublicationsOver 50 years have elapsed since the first experimental observations of dynamic edge phenomena on elastic structures, yet the topic remains a diverse and vibrant source of research activity. This article provides a focused history and overview of such phenomena with a particular emphasis on structures such as strips, rods, plates and shells. Within this context, some of the recent research highlights are discussed and the contents of this special issue of Mathematics and Mechanics of Solids on dynamical edge phenomena are introduced

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Section: Flexural Edge Phenomena On Platesmentioning

confidence: 99%

Edge waves and resonance on elastic structures: An overview

Lawrie

Kaplunov

2011

Mathematics and Mechanics of Solids

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“…The formulation presented in this paper may be developed for bending edge waves in the case of refined plate theories [28], with the approach relying on the plate theories with modified inertia (see [29] and references therein). Another direction of extension is related to edge waves in anisotropic plates [30,31], laminated structures [32] and pre-stressed plates [33]. More elaborate algebra is required to consider curved plates [34,35], shells [36,37] and interfacial edge waves [38].…”

Section: Appendix a Integral Transform Solutionmentioning

confidence: 99%

Edge bending wave on a thin elastic plate resting on a Winkler foundation

2016

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This paper is concerned with elucidation of the general properties of the bending edge wave in a thin linearly elastic plate which is supported by a Winkler foundation. A homogeneous wave of arbitrary profile is considered, and represented in terms of a single harmonic function. This serves as the basis for derivation of an explicit asymptotic model, containing an elliptic equation governing the decay away from the edge, together with a parabolic equation at the edge, corresponding to beam-like behaviour. The model extracts the contribution of the edge wave from the overall dynamic response of the plate, providing significant simplification for analysis of the localised near-edge wave field.

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“…This is not possible in the conventional finite element model proposed by Lagasse and Oliner, and thus this numerical model is not suitable for calculation of full edge wave modes. Various plate theories have been proposed for the development of flexural edge wave modes in orthotropic and submerged conditions etc [7][8][9][10][11][12][13][14][15][16]. Krushynska [17] presented an exact analytical solution for dispersion analysis of flexural edge waves in isotropic plates.…”

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confidence: 99%

A Numerical Approach for Calculation of Characteristics of Edge Waves in Three-Dimensional Plates

Duan

Kirby

2020

J. Theor. Comp. Acout.

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Surface waves have been extensively studied in earthquake seismology. Surface waves are trapped near an infinitely large surface. The displacements decay exponentially with depth. These waves are also named Rayleigh and Love waves. Surface waves are also used for nondestructive testing of surface defects. Similar waves exist in finite width three-dimensional plates. In this case, displacements are no longer constant in the direction perpendicular to the wave propagation plane. Wave energy could still be trapped near the edge of the three-dimensional plate, and hence the term edge waves. These waves are thus different to the two-dimensional Rayleigh and Love waves. This paper presents a numerical model to study dispersion properties of edge waves in plates. A two-dimensional semi-analytical finite element method is developed, and the problem is closed by a perfectly matched layer adjacent to the edge. The numerical model is validated by comparing with available analytical and numerical solutions in the literature. On this basis, higher order edge waves and mode shapes are presented for a three-dimensional plate. The characteristics of the presented edge wave modes could be used in nondestructive testing applications.

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Localized bending waves in a transversely isotropic plate

Cited by 21 publications

References 18 publications

Edge waves and resonance on elastic structures: An overview

Edge waves and resonance on elastic structures: An overview

Edge bending wave on a thin elastic plate resting on a Winkler foundation

A Numerical Approach for Calculation of Characteristics of Edge Waves in Three-Dimensional Plates

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