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Next talk of the Seminar (17:00, Room Sousa Pinto)
30/09/2025: “Caputo and
Caputo-Fabrizio fractional models for an Euler-Bernoulli beam”
Moisés Rutkoski (Universidade de Trás-os-Montes e Alto Douro)
In this presentation, we
analyze fractional models applied to the classical Euler-Bernoulli beam
equation subjected to point loading, with the aim of incorporating memory
and non-locality effects through fractional calculus. Formulations based on
Caputo and Caputo-Fabrizio derivatives are analyzed, where analytical
solutions are developed for both cases under two typical boundary
conditions: fixed-supported beam and fixed-free beam. The numerical
simulations performed (using Maple software) demonstrate how fractional
parameters influence the dynamic behavior of the structure, offering
greater flexibility in modeling with a reduced number of material
parameters. The results show that fractional models are capable of more
accurately representing complex phenomena in structural engineering.
This seminar is supported in part by FCT –
Portuguese Foundation for Science and Technology, through the Center for
Research and Development in Mathematics and Applications -- CIDMA
(UID/04106).
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