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

Qiong Yang, Denghui Li, Yandong Chu, Xianfeng Li, Celso Grebogi

Research output: Contribution to journalArticlepeer-review

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.
Original languageEnglish
Article number2250212
Number of pages15
JournalInternational Journal of Bifurcation and Chaos
Volume32
Issue number14
Early online date1 Nov 2022
DOIs
Publication statusPublished - 1 Nov 2022

Keywords

  • Strange nonchaotic attractor
  • axially accelerating beam system
  • quasiperiodic excitation

Fingerprint

Dive into the research topics of 'Existence and Generation Mechanisms of Strange Nonchaotic Attractors in Axially Accelerating Beam Systems'. Together they form a unique fingerprint.

Cite this