A dynamic Euler-Bernoulli beam equation frictionally damped on an elastic foundation

DOI10.1016/j.nonrwa.2021.103427zbMath1483.74059OpenAlexW3205718342MaRDI QIDQ2061597

Adrien Petrov, Arnaud Heibig

Publication date: 15 December 2021

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2021.103427

zbMATH Keywords

weak solutionexistenceCoulomb friction lawEuler-Bernoulli beam equationHille-Yosida theorem

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Friction in solid mechanics (74M10) Contact in solid mechanics (74M15) Existence of solutions of dynamical problems in solid mechanics (74H20) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (1)

Solvability for a dynamical beam problem on a frictionally damped foundation under a moving load

Cites Work

• Numerics of unilateral contacts and friction. Modeling and numerical time integration in non-smooth dynamics
• On the stability of quasi‐static paths for finite dimensional elastic‐plastic systems with hardening
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