Existence and Generation Mechanisms of Strange Nonchaotic Attractors in Axially Accelerating Beam Systems

Abstract

The axially accelerating beam systems are widely used in engineering fields, which have abundant dynamical phenomena, though there are still very few results on the complex dynamics in such systems under quasiperiodic excitations. In this work, the Strange Nonchaotic Attractors (SNAs) in the quasiperiodic forced axially accelerating beam systems are studied. Several generation mechanisms (type-I intermittency, fractalization, torus collision) determining the transition routes from quasiperiodic attractors (torus attractors) to SNAs are established. The strange properties are verified by phase portraits, rational approximations, power spectra and so on, while the nonchaotic properties are checked by Lyapunov exponents. These results reveal new dynamical phenomena of the axially accelerating beam systems.