Cumulative effect of structural nonlinearities: chaotic dynamics of cantilever beam system with impacts

DOI10.1016/J.CHAOS.2004.06.052zbMath1135.70314OpenAlexW2049949748MaRDI QIDQ1771729

Joseph Emans, Anton M. Krivtsov, Marian Wiercigroch

Publication date: 18 April 2005

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2004.06.052

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Constrained dynamics, Dirac's theory of constraints (70H45) Averaging of perturbations for nonlinear problems in mechanics (70K65)

Related Items (5)

The impacting cantilever: modal non-convergence and the importance of stiffness matching ⋮ A generalized method for the stationary probabilistic response of nonlinear dynamical system ⋮ Chaotic motion and its control for nonlinear nonplanar oscillations of a parametrically excited cantilever beam ⋮ Nonlinear dynamics of new magneto-mechanical oscillator ⋮ Utilizing nonlinear phenomena to locate grazing in the constrained motion of a cantilever beam

Uses Software

• Dynamics

Cites Work

• Unnamed Item
• Bifurcations and transition phenomena in an impact oscillator.
• Bifurcation analysis of harmonically excited linear oscillator with clearance
• On a possible approximation of discontinuous dynamical systems.
• Modelling of vibro-impact system driven by beat frequency.
• Modelling of dynamical systems with motion-dependent discontinuities
• An experimental impact oscillator
• Transition to chaotic motion in mechanical systems with impacts
• A periodically forced piecewise linear oscillator

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