Chattering and related behaviour in impact oscillators
From MaRDI portal
Publication:4301208
DOI10.1098/rsta.1994.0049zbMath0816.70018OpenAlexW1971396077MaRDI QIDQ4301208
Publication date: 16 July 1995
Published in: Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1098/rsta.1994.0049
Stability for nonlinear problems in mechanics (70K20) Bifurcations and instability for nonlinear problems in mechanics (70K50) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)
Related Items
Two-parameter bifurcations of an impact system under different damping conditions ⋮ Chaos explosion and topological horseshoe in three-dimensional impacting hybrid systems with a single impact surface ⋮ Periodic bouncing solutions for sublinear impact oscillator ⋮ Impulsive control of sticking motion in van der Pol one-sided constraint system ⋮ Applications of Non‐Smooth Mechanical Systems ‐ An Overview ‐ ⋮ Chaotic, regular and unbounded behaviour in the elastic impact oscillator ⋮ Simulation and stability analysis of impacting systems with complete chattering ⋮ Response analysis of Rayleigh-Van der Pol vibroimpact system with inelastic impact under two parametric white-noise excitations ⋮ Stochastic response of a vibro-impact system with variable mass ⋮ Chattering as a singular problem ⋮ Stochastic Response of a Vibro-Impact System by Path Integration Based on Generalized Cell Mapping Method ⋮ Chaotic modes of systems described by the Liénard equations with a large period of the right-hand side and impact conditions ⋮ The complexity of a basic impact mapping for rigid bodies with impacts and friction ⋮ IMPACT DYNAMICS OF LARGE DIMENSIONAL SYSTEMS ⋮ Switching between periodic orbits in impact oscillator by time-delayed feedback methods ⋮ 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 ⋮ Multiple non-smooth events in multi-degree-of-freedom vibro-impact systems ⋮ Phase shift adjustment for harmonic balance method applied to vibro-impact systems ⋮ Occurrence of multiple attractor bifurcations in the two-dimensional piecewise linear normal form map ⋮ Generalized Hopf bifurcation emerged from a corner in general planar piecewise smooth systems ⋮ Border collision route to quasiperiodicity: Numerical investigation and experimental confirmation ⋮ MULTIPLE-ATTRACTOR BIFURCATIONS AND QUASIPERIODICITY IN PIECEWISE-SMOOTH MAPS ⋮ A piece wise linear suspension bridge model: nonlinear dynamics and orbit continuation ⋮ Stochastic responses of lightly nonlinear vibroimpact system with inelastic impact subjected to external Poisson white noise excitation ⋮ A heuristic method to minimise the chattering problem in dynamic mathematical two-phase flow models ⋮ Two-parameter sliding bifurcations of periodic solutions in a dry-friction oscillator ⋮ Period-doubling induced chaotic motion in the LR model of a horizontal impact oscillator ⋮ Numerical analysis of codimension-one, -two and -three bifurcations in a periodically-forced impact oscillator with two discontinuity surfaces ⋮ Structural stability of invariant sets of vibro-impact systems ⋮ FROM COMPLETE TO INCOMPLETE CHATTERING: A NOVEL ROUTE TO CHAOS IN IMPACTING CAM-FOLLOWER SYSTEMS ⋮ Continuation of periodic orbits in a ZAD-strategy controlled buck converter ⋮ Dynamics of a piecewise smooth map with singularity ⋮ BORDER-COLLISION BIFURCATIONS IN ONE-DIMENSIONAL DISCONTINUOUS MAPS ⋮ Corner collision implies border-collision bifurcation ⋮ DYNAMICS OF A TWO DEGREE OF FREEDOM VIBRO-IMPACT SYSTEM WITH MULTIPLE MOTION LIMITING CONSTRAINTS ⋮ Modeling, stability and control of biped robots --- a general framework ⋮ Rising phenomena and the multi-sliding bifurcation in a two-degree of freedom impact oscillator ⋮ Nonlinear dynamics of an electrically driven impact microactuator ⋮ Character of the map for switched dynamical systems for observations on the switching manifold ⋮ Normal form maps for grazing bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems ⋮ Hard versus soft impacts in oscillatory systems modeling ⋮ Saddle-point solutions and grazing bifurcations in an impacting system ⋮ Billiards: A singular perturbation limit of smooth Hamiltonian flows ⋮ Corner bifurcations in nonsmoothly forced impact oscillators ⋮ Dynamics of oscillators with impact and friction ⋮ Motion switching and chaos of a particle in a generalized Fermi-acceleration oscillator ⋮ Sticking motions of impact oscillators ⋮ Paradoxical simulation results of chaos-like chattering in the bouncing ball system ⋮ Stochastic Response of a Vibro-Impact System via a New Impact-to-Impact Mapping
