D'Alembert function for exact non-smooth modal analysis of the bar in unilateral contact

DOI10.1016/J.NAHS.2021.101115zbMath1482.74090OpenAlexW3203905691MaRDI QIDQ2074764

David Urman, Mathias Legrand, Stéphane Junca

Publication date: 10 February 2022

Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nahs.2021.101115

zbMATH Keywords

periodic solutionneutral delay differential equationunilateral contactmethod of stepsvibration spectrumnon-smooth modal analysisSignorini complementarity condition

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Contact in solid mechanics (74M15) Vibrations in dynamical problems in solid mechanics (74H45) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

Cites Work

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• A wave problem in a half-space with a unilateral constraint at the boundary
• Time-Integration Schemes for the Finite Element Dynamic Signorini Problem
• Advanced Topics in Nonsmooth Dynamics
• Numerical Approximation of a Wave Equation with Unilateral Constraints
• Numerical Methods in Contact Mechanics
• Applied Delay Differential Equations

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