Abstract

Previous studies have shown that applying a sinusoidal input force independent of time to an oscillating beam with nonlinear boundary conditions (stoppers) have produced stationary chaos. The main purpose of this research is to find the effects that time varying inputs (parameters) have on stationary chaos. To accomplish this, linear nonstatiorvary forcing frequencies Q(t) = £}<, + yt (7 is the constant sweep) were used to oscillate a beam and the response was compared to the response of the beam when the frequency was stationary, Q(t) = constant. The results indicate that: ( I) stationary chaos can be annihilated by nonstationary inputs: (b) there exists a transmission of one dynamical form to another (one form of chaotic motion to another chaotic motion in a nonstationary regime), and hence the response is a transient phenomena, (c) nonstationary chaos eventually settles to periodic motion.

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