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The dual nature of the transverse vibrations of an elastic rod

✍ Scribed by K.Sh. Mkrtchyan

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
165 KB
Volume
63
Category
Article
ISSN
0021-8928

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✦ Synopsis

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 angle of rotation is expressed by the angle of curvature of the centre line of the perturbed part of the rod. Two types of elastic vibrations are obtained: (1) the rod vibrates elastically due to displacements applied at the end, and (2) when performing rotational motion elastic vibrations and additional forces occur in the rod due to elasticity [l].

πŸ“œ SIMILAR VOLUMES

ON THE VIBRATIONS OF AN AXIALLY VIBRATIN
ON THE VIBRATIONS OF AN AXIALLY VIBRATING ELASTIC ROD WITH DISTRIBUTED MASS ADDED IN-SPAN
✍ M. GÜRGΓ–ZE; S. Δ°NCEOΗ¦LU πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 96 KB

Recently, an interesting study [1] was published in which the equation of free transverse vibrations of beams with two sections of partially distributed mass was derived and its exact solution obtained. The method was later generalized for the case of beams with multiple spans of distributed mass. M