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Forced vibrations of a beam elastically restrained against rotation and carrying a spring–mass system

✍ Scribed by D.V Bambill; C.A Rossit

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
85 KB
Volume
29
Category
Article
ISSN
0029-8018

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✦ Synopsis

An exact solution for the title problem is obtained in closed form fashion in the case of a Bernoulli-Euler beam. It is assumed that the exciting force is applied to the mass which is elastically mounted on the beam. The mathematical model constitutes a first order approximation to a motor or engine elastically mounted on a structural element. The operation of the machine generates a transverse, sinusoidally varying force. The problem is of basic interest in mechanical, naval and ocean engineering systems from the point of view of the determination of dynamic displacements and stresses; sound radiation calculations, etc. The present problem arose in connection with the mounting of an engine on a structural beam in a small naval vessel and when excessive vibrational level was noted.

📜 SIMILAR VOLUMES

Forced vibrations of a continuous beam w
Forced vibrations of a continuous beam with ends elastically restrained against rotation
✍ P.A.A. Laura; P.L. Verniere de Irassar; G.M. Ficcadenti 📂 Article 📅 1984 🏛 Elsevier Science 🌐 English ⚖ 306 KB

A survey of the literature shows that the titleproblem has not been studied to any great extent. In the present paper an approximate solution is obtained in the case of a beam with ends elastically restrained against rotation and an intermediate support. A sinusoidally varying excitation is assumed.

Free vibrations of a spinning uniform be
Free vibrations of a spinning uniform beam with ends elastically restrained against rotation
✍ C.P. Filipich; M.J. Maurizi; M.B. Rosales 📂 Article 📅 1987 🏛 Elsevier Science 🌐 English ⚖ 334 KB

The title problem is considered in the case where the spinning beam cross-section possesses only one axis of symmetry. An exact solution is obtained by means of an extension of Bauer's approach, and with account taken of orthotropic properties of the beam supports. The effect of coupling with torsio