Nonsmooth Modal Analysis of Piecewise-Linear Impact Oscillators

DOI10.1137/16M1081506zbMath1427.70056OpenAlexW2338817971MaRDI QIDQ4588278

Pierre Delezoide, Anders Thorin, Mathias Legrand

Publication date: 1 November 2017

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m1081506

zbMATH Keywords

nonlinear oscillatorsnonsmooth dynamicsnonlinear normal modesimpact dynamicsnonlinear modal analysisvibro-impact oscillators

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Discontinuous ordinary differential equations (34A36) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12) Nonlinear modes (70K75)

Related Items (5)

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 ⋮ On the detection of nonlinear normal mode-related isolated branches of periodic solutions for high-dimensional nonlinear mechanical systems with frictionless contact interfaces ⋮ First return time to the contact hyperplane for \(N\)-degree-of-freedom vibro-impact systems ⋮ Periodic orbits of a conservative 2-DOF vibro-impact system by piecewise continuation: bifurcations and fractals

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