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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F23%3A00371538" target="_blank" >RIV/68407700:21110/23:00371538 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.3934/dcdsb.2022217" target="_blank" >https://doi.org/10.3934/dcdsb.2022217</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3934/dcdsb.2022217" target="_blank" >10.3934/dcdsb.2022217</a>

Result language
angličtina
Original language name
Solvability for a dynamical beam problem on a frictionally damped foundation under a moving load
Original language description
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 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.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Center for advanced applied science</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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