Nonsmooth modal analysis of a \(N\)-degree-of-freedom system undergoing a purely elastic impact law

DOI10.1016/j.cnsns.2016.08.022zbMath1487.70081OpenAlexW2225851035MaRDI QIDQ2005129

Mathias Legrand, Sokly Heng, Stéphane Junca

Publication date: 7 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2016.08.022

zbMATH Keywords

vibro-impact systemsnonlinear modal analysisspectral stability analysisfrequency-energy plots

Mathematics Subject Classification ID

Modal analysis in linear vibration theory (70J10) Multifrequency systems of ordinary differential equations (34C46)

Related Items (4)

Nonsmooth Modal Analysis of Piecewise-Linear Impact Oscillators ⋮ Periodic solutions of a two-degree-of-freedom autonomous vibro-impact oscillator with sticking phases ⋮ First return time to the contact hyperplane for \(N\)-degree-of-freedom vibro-impact systems ⋮ D'Alembert function for exact non-smooth modal analysis of the bar in unilateral contact

Cites Work

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• Nonlinear modal analysis of mechanical systems with frictionless contact interfaces
• Limitation on the method of strained coordinates for vibrations with weak grazing unilateral contact
• Impact modes in discrete vibrating systems with rigid barriers
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem.
• Vibro-impact dynamics. Modeling, mapping and applications
• An invariant manifold approach to nonlinear normal modes of oscillation
• The dynamics of discrete mechanical systems with perfect unilateral constraints
• Simultaneous enforcement of constraints at position and velocity levels in the nonsmooth generalized-\(\alpha\) scheme
• Piecewise-smooth dynamical systems. Theory and applications
• Numerical methods for nonsmooth dynamical systems. Applications in mechanics and electronics
• Practical bifurcation and stability analysis
• Existence of periodic orbits in grazing bifurcations of impacting mechanical oscillators
• The method of strained coordinates for vibrations with weak unilateral springs
• Time-Integration Schemes for the Finite Element Dynamic Signorini Problem
• Non‐smooth Deterministic or Stochastic Discrete Dynamical Systems

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