Chaos in Non-ideal Mechanical System with Clearance

DOI10.1177/1077546308091216zbMath1172.70010OpenAlexW2049855708MaRDI QIDQ3182706

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Publication date: 15 October 2009

Published in: Journal of Vibration and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1077546308091216

zbMATH Keywords

chaos controlperiod doubling bifurcationmaximal Lyapunov exponentSommerfeld effect

Mathematics Subject Classification ID

Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55) Control of mechanical systems (70Q05)

Related Items (9)

Motion of a motor-structure non-ideal system ⋮ Analytical approximations to the solutions for a generalized oscillator with strong nonlinear terms ⋮ On the chaotic suppression of both ideal and non-ideal Duffing based vibrating systems, using a magnetorheological damper ⋮ Dynamic analysis of nonlinear rotating composite shafts excited by non‐ideal energy source ⋮ On the dynamics of vibro-impact systems with ideal and non-ideal excitation ⋮ Non-ideal mechanical system with an oscillator with rational nonlinearity ⋮ Nonlinear output feedback control of a flexible link using adaptive neural network: stability analysis ⋮ Nonlinear output feedback control of a flexible link using adaptive neural network: controller design ⋮ Complex dynamics of a vibration machine caused by a relay feedback control

Cites Work

• Determining Lyapunov exponents from a time series
• Dynamics of an unbalanced shaft interacting with a limited power supply
• Chaos control using small-amplitude damping signals
• An overview on non-ideal vibrations
• Basins of attraction changes by amplitude constraining of oscillators with limited power supply
• VIBRATIONS OF A NON-IDEAL PARAMETRICALLY AND SELF-EXCITED MODEL
• A simple feedback control for a chaotic oscillator with limited power supply
• Controlling chaos
• Chaotic Responses in a Stable Duffing System of Non-ideal Type
• Short Comments on Self-Synchronization of Two Non-Ideal Sources Supported by a Flexible Portal Frame Structure

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