Grazing bifurcations in an elastic structure excited by harmonic impactor motions

DOI10.1016/j.physd.2007.12.001zbMath1138.74031OpenAlexW2080139129MaRDI QIDQ928954

Elsie Sterbin Gottlieb

Publication date: 11 June 2008

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2007.12.001

zbMATH Keywords

corner-collision bifurcationslocal Poincaré mapssoft-impact oscillatorsteel cantilever

Mathematics Subject Classification ID

Experimental work for problems pertaining to mechanics of deformable solids (74-05) Dynamical systems in solid mechanics (37N15) Impact in solid mechanics (74M20) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)

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Cites Work

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• Local analysis of \(C\)-bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems
• Local analysis of co-dimension-one and co-dimension-two grazing bifurcations in impact micro\-actuators
• On the origin and bifurcations of stick-slip oscillations
• Continuous and discontinuous grazing bifurcations in impacting oscillators
• Nonsmooth bifurcations in a piecewise-linear model of the Colpitts oscillator
• Nonlinear dynamics of milling processes
• A magnetoelastic strange attractor
• Dynamics of an Elastic Structure Excited by Harmonic and Aharmonic Impactor Motions
• Corner collision implies border-collision bifurcation
• Normal form maps for grazing bifurcations in \(n\)-dimensional piecewise-smooth dynamical systems

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