Solvability for a dynamical beam problem on a frictionally damped foundation under a moving load - École Centrale de Lyon Accéder directement au contenu
Article Dans Une Revue Discrete and Continuous Dynamical Systems - Series B Année : 2023

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

Résumé

This paper deals with a dynamic Euler-Bernoulli beam of infinite length subjected to a moving concentrated Dirac mass. The beam relies on a foundation composed of a continuous distribution of linear elastic springs associated in parallel with a uniform distribution of Coulomb friction elements and viscous dampers. The problem is stated in distributional form, and the existence and uniqueness results are established by means of a combination of L ∞-L 2-L 1 estimates together with a monotonicity argument. Traveling wave solutions are studied in detail in the case without Coulomb friction, and they are shown to be globally exponentially stable under positive viscous damping.
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Dates et versions

hal-03654473 , version 1 (28-04-2022)

Identifiants

Citer

Arnaud Heibig, Pavel Krejčí, Adrien Petrov. Solvability for a dynamical beam problem on a frictionally damped foundation under a moving load. Discrete and Continuous Dynamical Systems - Series B, 2023, 28 (5), pp.3277-3293. ⟨10.3934/dcdsb.2022217⟩. ⟨hal-03654473⟩
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