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Axial Vibrations of a Stochastic Rod

✍ Scribed by C.S. Manohar; A.J. Keane

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
505 KB
Volume
165
Category
Article
ISSN
0022-460X

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✦ Synopsis

The free and forced axial vibration of a rod with stochastically varying mass and stiffness properties is considered. Exact probabilistic descriptions of the response variables are shown to be obtainable for a highly idealized case. The probability distributions of the eigensolutions, Green function and input receptance function for this case are obtained. The usefulness of these results as benchmarks in the study of confidence limits of responses predicted by Statistical Energy Analysis (S.E.A.) is noted.

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

NODAL CONTROL OF A VIBRATING ROD
NODAL CONTROL OF A VIBRATING ROD
✍ YITSHAK M. RAM πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 307 KB

The paper deals with the problem of absorbing the harmonic response at a prescribed location in an axially vibrating rod. An explicit formula for the feedback control gain is given. A necessary and sufficient condition for allowing the control to be carried out by a passive element is determined, an