First return time to the contact hyperplane for \(N\)-degree-of-freedom vibro-impact systems

DOI10.3934/DCDSB.2021031OpenAlexW2905444175MaRDI QIDQ2064483

Mathias Legrand, Huong Le Thi, Stéphane Junca

Publication date: 6 January 2022

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2021031

zbMATH Keywords

unilateral contactnon-smooth analysisgrazingfirst return timePoincaré Section

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14) Nonlinear modes (70K75)

Cites Work

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• The dynamics of discrete mechanical systems with perfect unilateral constraints
• Periodic solutions of \(n\)-dofs autonomous vibro-impact oscillators with one lasting contact phase
• Periodic solutions of a two-degree-of-freedom autonomous vibro-impact oscillator with sticking phases
• Nonsmooth modal analysis of a \(N\)-degree-of-freedom system undergoing a purely elastic impact law
• Piecewise-smooth dynamical systems. Theory and applications
• Mappings of grazing-impact oscillators
• Existence of periodic orbits in grazing bifurcations of impacting mechanical oscillators
• Dynamics of an impact oscillator near a degenerate graze
• A class of nonlinear differential equations of second order in time
• Intermittency in impact oscillators close to resonance
• Bifurcations caused by grazing incidence in many degrees of freedom impact oscillators
• Nonsmooth Modal Analysis of Piecewise-Linear Impact Oscillators

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