✦ LIBER ✦

WAVE PROPAGATION IN AND VIBRATION OF A TRAVELLING BEAM WITH AND WITHOUT NON-LINEAR EFFECTS, PART I: FREE VIBRATION

✍ Scribed by G. CHAKRABORTY; A.K. MALLIK

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 157 KB
Volume: 236
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.2000.2971

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✦ Synopsis

The relation between the wave propagation and the free vibration in a travelling beam with simple supports has been thoroughly investigated. The frequency equation of such a beam has been derived using the phase-closure principle. Since the characters of the waves change drastically as the axial speed is increased beyond a certain value, the phase-closure principle has been applied di!erently in these two speed regimes. The justi"cations for some approximate methods of obtaining the natural frequencies are also discussed. Lastly, the non-linear normal modes are derived again using the phase-closure principle. The computation of the forced response using the wave propagation approach is discussed in Part II.

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