title: On the low vibration modes observed in a sphere submitted to a tangential contact force.
abstract: In this paper we discuss the existence of translational and rotational displacements of a sphere submitted to a tangential contact force. On the basis of the Bogdanov and Skvortsov's works [A.N. Bogdanov, A.T. Skvortsov, Sov. Phys. Acoust. 38 (1992) 224-226.] the dispersion equation has been established and solved for any value of the frequency in the case of the linear approximation. The present experimental analysis confirms that it exists two branches: an upper branch associated to the translation of the sphere and a lower branch characteristic of the rotation of the bead.
authors.affiliation: Université Pierre et Marie Curie, Paris 6 Laboratoire de Mécanique Physique, CNRS FRE 2867, Saint Cyr l'Ecole, France. mdebilly@ccr.jussieu.fr <mdebilly@ccr.jussieu.fr>
authors.forename: M
authors.initials: M
authors.lastname: De Billy
mesh_terms: D016880:Anisotropy; D003198:Computer Simulation; D004307:Dose-Response Relationship, Radiation; D004548:Elasticity; D008863:Microspheres; D008962:Models, Theoretical; D011829:Radiation Dosage; D013010:Sonication; D013314:Stress, Mechanical; D014732:Vibration