Maxima and minima of the displacement components for the Lamb modes.
Identifieur interne : 000787 ( Main/Exploration ); précédent : 000786; suivant : 000788Maxima and minima of the displacement components for the Lamb modes.
Auteurs : Farid Chati [France] ; Fernand Léon ; Dominique Décultot ; Gérard MazeSource :
- The Journal of the Acoustical Society of America [ 1520-8524 ] ; 2011.
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Abstract
This paper revisits the vanishing of the transverse component of the particle displacement vector in free surfaces of an isotropic homogeneous plate, for both symmetric and antisymmetric Lamb waves. Drawing on well-known analytical expressions from Viktorov's book [(1967) Rayleigh and Lamb Waves: Physical Theory Applications, Chap. II, pp. 67-121], two distinct frequency-thickness product expressions, in cases where this vanishing occurs, are derived: one for the symmetric modes and another for the antisymmetric modes. At these frequency-thickness products, phase and group velocities have appreciable values which are discussed herein. It appears that these velocities depend on the transverse bulk wave velocity only. This is the specific condition of the Lamé modes. Moreover, theoretical and experimental investigations of displacements in the surface of a plate in air have been carried out. The theoretical part shows that the normal and transverse displacements have, respectively, a local maximum and a local minimum in the vicinity of these frequency-thickness products. The experimental part corroborates the presence of the local maximum of the S(0) Lamb mode for various materials.
DOI: 10.1121/1.3559702
PubMed: 21476646
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Drawing on well-known analytical expressions from Viktorov's book [(1967) Rayleigh and Lamb Waves: Physical Theory Applications, Chap. II, pp. 67-121], two distinct frequency-thickness product expressions, in cases where this vanishing occurs, are derived: one for the symmetric modes and another for the antisymmetric modes. At these frequency-thickness products, phase and group velocities have appreciable values which are discussed herein. It appears that these velocities depend on the transverse bulk wave velocity only. This is the specific condition of the Lamé modes. Moreover, theoretical and experimental investigations of displacements in the surface of a plate in air have been carried out. The theoretical part shows that the normal and transverse displacements have, respectively, a local maximum and a local minimum in the vicinity of these frequency-thickness products. The experimental part corroborates the presence of the local maximum of the S(0) Lamb mode for various materials.</div></front></TEI><affiliations><list><country><li>France</li></country><region><li>Haute-Normandie</li><li>Région Normandie</li></region><orgName><li>Université du Havre</li></orgName></list><tree><noCountry><name sortKey="Decultot, Dominique" sort="Decultot, Dominique" uniqKey="Decultot D" first="Dominique" last="Décultot">Dominique Décultot</name><name sortKey="Leon, Fernand" sort="Leon, Fernand" uniqKey="Leon F" first="Fernand" last="Léon">Fernand Léon</name><name sortKey="Maze, Gerard" sort="Maze, Gerard" uniqKey="Maze G" first="Gérard" last="Maze">Gérard Maze</name></noCountry><country name="France"><region name="Région Normandie"><name sortKey="Chati, Farid" sort="Chati, Farid" uniqKey="Chati F" first="Farid" last="Chati">Farid Chati</name></region></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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