Numerical description of the edge mode at the beveled extremity of a plate

Wilkie-Chancellier, Nicolas; Duflo, Hugues; Tinel, Alain; Duclos, J.

doi:10.1121/1.1828675

Cited by 12 publications

(16 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…[8][9][10]14,15,19 Analogously, it is expected that the amplitudes of higher-order symmetric modes are amplified at the resonance frequencies of an imperfect joint of plates. The relative amplitudes of the nth-order symmetric modes for the S0-mode incidence are defined as…”

Section: A Resonance Behavior Of An Imperfect Joint Of Platesmentioning

confidence: 95%

“…Thereafter, the interaction of various Lamb modes with a free edge of a plate was analyzed by many investigators. [10][11][12][13][14][15][16][17][18] Le Clezio et al 14 analyzed transient responses of the S0 mode at a free edge of a plate using the finite element method (FEM). These authors also performed experimental investigation to verify the numerical results.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Resonance of an imperfect joint of plates by the lowest-order symmetric Lamb mode

Mori

Biwa

2015

The Journal of the Acoustical Society of America

View full text Add to dashboard Cite

Resonance behavior of an imperfect joint of elastic plates subjected to the incidence of the lowest-order symmetric (S0) Lamb mode is numerically analyzed in the frequency domain by the hybrid finite element method. To this purpose, the reflection and transmission characteristics of the S0 mode are calculated for the frequency range in which the S0 mode is the only symmetric mode that can propagate in the plates. The imperfect joint is modeled as a linear spring-type interface characterized by the normal and tangential stiffnesses. As a result, it is shown that the imperfect joint of plates has two resonance frequencies at which the out-of-plane displacement amplitudes at the joint are remarkably increased. One resonance frequency depends only on the normal stiffness, and the other only on the tangential stiffness. Each resonance frequency coincides with that of a free edge of a plate, and monotonically increases with the corresponding joint stiffness. Furthermore, it is also shown that the reflection and transmission behavior of the S0 mode at the imperfect joint of the plates can be well reproduced by the one-dimensional thin-plate approximation of extensional waves when the frequency is sufficiently small compared to the resonance frequencies.

show abstract

Section: A Resonance Behavior Of An Imperfect Joint Of Platesmentioning

confidence: 95%

Section: Introductionmentioning

confidence: 99%

Resonance of an imperfect joint of plates by the lowest-order symmetric Lamb mode

Mori

Biwa

2015

The Journal of the Acoustical Society of America

View full text Add to dashboard Cite

show abstract

“…But up to now experimental techniques based on the Lamb wave propagation are not widespread in this subject. However, the reflection of a Lamb wave at the free edge of a straight cut plate has been theoretically [23]- [24], numerically [25]- [26] and experimentally [27] investigated.…”

Section: Introductionmentioning

confidence: 99%

Lamb Wave Sensor for Viscous Fluids Characterization

et al. 2009

Self Cite

View full text Add to dashboard Cite

This paper is a study of a new sensor for fluid characterization. This sensor is composed of a stainless steel plate in contact with a viscous material. The aim is to characterize the material viscosity by using reflected Lamb waves at the boundary interface. In order to identify the effects on the Lamb reflected modes by the viscous material, a complete study of the propagation wave in the alone plate is first presented. The propagation modes of the loaded plate are then investigated. By monitoring the mechanical impedance, the viscosity of the material in contact is extracted. In order to validate the experimental setup , the mechanical impedance variation is measured for different water-glycerol mixtures. Results are in good agreement with those obtained by other techniques in the literature.

show abstract

“…12) The reflection of the normally incident Lamb wave by the beveled edge has been analyzed by Wilkie-Chancellier et al 7) and by Galan and Abascal. 10) Experimental studies on the reflection of the normally incident Lamb wave have been carried out by Morvan 6) and Wilkie-Chancellier et al 13) This study analyzes the reflection of obliquely incident guided waves by a plate edge.…”

Section: Introductionmentioning

confidence: 99%

“…On the other hand, reflection of a normally incident inplane wave (Lamb wave) by an edge is more complicated because it causes mode conversion involving an infinite number of Lamb wave modes. The edge-reflection problem of the normally incident Lamb wave has been analyzed by various methods, such as the variational analysis method, 4,5) the collocation method, 6,7) the method of projection, 8) the finite element method in a time domain, 6) the finite element method combined with the modal expansion technique, 9,10) the hybrid method of the boundary element method and the normal-mode expansion technique, 11) the hybrid finite element and boundary element formulation, 10) and the mode-exciting method.…”

Section: Introductionmentioning

confidence: 99%