✦ LIBER ✦

STABILITY OF AN ACCELERATING BEAM

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

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 135 KB
Volume: 227
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.1999.2343

No coin nor oath required. For personal study only.

✦ Synopsis

Lyapunov's method has been used to derive a su$cient condition for the transverse stability of an axially accelerating beam. A multiple-time-scale formulation is also presented to study the stability when the beam has constant axial acceleration/deceleration. In such situations, an accelerating beam is found to be always stable, whereas a decelerating beam may undergo ephemeral instability. The non-linear terms do not a!ect the stability condition; they only change the frequency of oscillation.

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