Stability of an accelerating beam

Chakraborty, G. ; Mallik, A. K. (1999) Stability of an accelerating beam Journal of Sound and Vibration, 227 (2). pp. 309-320. ISSN 0022-460X

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S00224...

Related URL: http://dx.doi.org/10.1006/jsvi.1999.2343

Abstract

Lyapunov's method has been used to derive a sufficient 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 affect the stability condition; they only change the frequency of oscillation.

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