Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/23441
Title: Dynamic stability of a curved beam under sinusoidal loading
Authors: Poon, WY
Ng, CF
Lee, YY
Keywords: Buckled beam
Dynamic stability
Sinusoidal loading
Snap-through properties
Vibration
Issue Date: 2002
Publisher: SAGE Publications
Source: Proceedings of the Institution of Mechanical Engineers. Part G, Journal of aerospace engineering, 2002, v. 216, no. 4, p. 209-217 How to cite?
Journal: Proceedings of the Institution of Mechanical Engineers. Part G, Journal of aerospace engineering 
Abstract: This paper is a study of snap-through properties of a non-linear dynamic buckling response to sinusoidal excitation of a clamped-clamped buckled beam. Using a simple formula, the highly non-linear motion of snap-through and its effects on the overall vibration have been studied. The non-linear governing equation obtained here is solved using the Runge-Kutta (RK-4) numerical integration method. Critical parameters at the onset of the snap-through motion, which vary with different damping coefficients and linear circular frequencies of a flat beam, are studied and given in terms of the excitation level and response displacement. The relationships between static and dynamic responses at the start of the snap-through motion are also predicted. The analysis brings out various characteristic features of the phenomenon, i.e. (a) small oscillations about the buckled position, (b) chaotic motion of intermittent snap-through and (c) large oscillations of continuous snap-through motion crossing the two buckled positions. The non-linear dynamic instability behaviour of the beam, changing from the softening spring type to the hardening type, is due to the snap-through motion.
URI: http://hdl.handle.net/10397/23441
ISSN: 0954-4100
EISSN: 2041-3025
DOI: 10.1243/09544100260369740
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