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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Commentaire : Ce pdf est la version preprint de l'article (version soumise à l'éditeur, avant peer-reviewing)
Commentaire : Ce pdf est la version preprint de l'article (version soumise à l'éditeur, avant peer-reviewing)