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The elastic coupling between longitudinal and transversal vibrations of isotropic rods

✍ Scribed by Miroslav Brdička; Markéta Dvorská; Zbyněk Dvořáček

Book ID
112573971
Publisher
Springer
Year
1958
Tongue
English
Weight
217 KB
Volume
8
Category
Article
ISSN
0011-4626

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In this paper, the coupled longitudinal and lateral vibrations of a rectangular parallelepiped composed of a uniform, isotropic, elastic body are examined. The one-dimensional model for the body was developed by Green, Naghdi and several of their co-workers. It is based on a Cosserat or directed rod

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The transverse vibrations of an elastic rod, to one of which displacements are applied while the other end is free, are investigated. It is assumed that the propagation velocity of the perturbations in the rod is finite. The unperturbed part performed rotational motion around the centre line. The an