Some energy conservative schemes for vibro-impacts of a beam on rigid obstacles

DOI10.1051/m2an/2011008zbMath1451.74209OpenAlexW2056780006MaRDI QIDQ2839152

Cédric Pozzolini, Michel Salaün

Publication date: 4 July 2013

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2011008

zbMATH Keywords

variational inequalitiesunilateral constraintsfinite element methoddynamicsrestitution coefficientelastic beam

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Unilateral problems for linear hyperbolic equations and variational inequalities with linear hyperbolic operators (35L85)

Related Items (5)

Vibrations of a beam between stops: collision events and energy balance properties ⋮ The singular dynamic method for dynamic contact of thin elastic structures ⋮ Hybrid-mixed discretization of elasto-dynamic contact problems using consistent singular mass matrices ⋮ Energy conservative finite element semi-discretization for vibro-impacts of plates on rigid obstacles ⋮ A robust finite element redistribution approach for elastodynamic contact problems

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