Discontinuous dynamics of a 3-DOF oblique-impact system with dry friction and single pendulum device

Li, Jianping; Fan, Jinjun

doi:10.1007/s11071-022-08062-6

Nonlinear Dyn

2022

DOI: 10.1007/s11071-022-08062-6

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Discontinuous dynamics of a 3-DOF oblique-impact system with dry friction and single pendulum device

Jianping Li

Jinjun Fan

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2024

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Cited by 5 publications

References 65 publications

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Dynamic analysis of a class of fractional‐order dry friction oscillators

Si,

Xie,

Zhao

et al. 2024

Math Methods in App Sciences

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This article investigates a class of Duffing nonlinear dynamic systems with fractional‐order dry friction and conducts in‐depth research on the stability, chaotic characteristics, and erosion of the safety basin of this system; the results are verified through numerical simulation. First, the average method is used to approximate the amplitude–frequency relationship of the system, and the accuracy of the analytical results is verified through numerical experiments. Second, the Melnikov method is used to obtain the conditions for the system to enter chaos in the Smale horseshoe sense, and the Melnikov curve is drawn for further verification. Then, bifurcation diagrams are drawn for the changes in various parameters in the system, with a focus on analyzing the influence of friction factors on chaotic bifurcation. By applying the definition and calculation principle of the maximum Lyapunov exponent, and drawing and utilizing the maximum Lyapunov exponent graph, the chaotic state that the system enters under different parameters is more clearly defined. Finally, the evolution law of the safety basin under various parameter changes, especially dry friction changes, is analyzed, and the erosion and bifurcation mechanism of the safety basin is studied. Comparing with the bifurcation diagram, it reveals that chaos primarily contributes to the erosion of the safety basin.

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Dynamic analysis of a class of fractional‐order dry friction oscillators

Si,

Xie,

Zhao

et al. 2024

Math Methods in App Sciences

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show abstract

Chaos analysis of SD oscillator with two-frequency excitation

Peng,

Li,

Zhang

2024

Nonlinear Dyn

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Chaos detection and control of a fractional piecewise-smooth system with nonlinear damping

Zhang,

Li,

Zhu

et al. 2024

Chinese Journal of Physics

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Discontinuous dynamics of a 3-DOF oblique-impact system with dry friction and single pendulum device

Cited by 5 publications

References 65 publications

Dynamic analysis of a class of fractional‐order dry friction oscillators

Dynamic analysis of a class of fractional‐order dry friction oscillators

Chaos analysis of SD oscillator with two-frequency excitation

Chaos detection and control of a fractional piecewise-smooth system with nonlinear damping

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