Periodic and Chaotic Oscillations of Modified Stoker Column
Publication: Journal of Engineering Mechanics
Volume 117, Issue 9
Abstract
Records are presented of typical measured motions of a modified forced Stoker column, including periodic motion around a stable fixed point of the unforced column; periodic snap‐through motion around the unstable fixed point; and chaotic motion. Characterizations of the recorded chaotic motion include the autocorrelation function; the spectral density plot; capacity dimensions (∼2.3 for attractor in three‐dimensional phase space; ∼1.25 for corresponding Poincarfi plot); and the Lyapounov exponent Numerical simulations were performed in which spring stiffnesses measured under static conditions and dissipative forces based on the viscous damping model were used. The experimental device was represented as a multidegree‐of‐freedom system that approximated the distributed mass and stiffness of the springs. The simulations yielded chaotic motions comparable qualitatively to, though different quantitatively from, those recorded in the laboratory. As evidenced by the estimated fractal dimension, the influence of the spring mass distribution was not sufficiently strong to affect the dimension of the embedding phase space for the attractor of the chaotic motion.
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Published In
Journal of Engineering Mechanics
Volume 117 • Issue 9 • September 1991
Pages: 2049 - 2064
Copyright
Copyright © 1991 ASCE.
History
Published online: Sep 1, 1991
Published in print: Sep 1991
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