Investigating Fractional Damping Effect on Euler–Bernoulli Beam Subjected to a Moving Load

In this work, the dynamic response of Euler–Bernoulli beams four different boundary conditions with fractional order internal damping under a traversing moving load is investigated. The assumed to be values constant velocity. A proposed approach obtain closed-form solution problem based on Green’s functions combined decomposition technique in Laplace transform domain introduced. Several cases are studied and compared literature; for instance, if simply supported beam considered, following three explored: case elastic (or undamped) beam, damped viscously damped) finally fractionally modeled by Kelvin–Voigt model. effects induced magnitude velocity, ratio, explored. results expressed sufficient agreement similar problems found literature evidenced that significantly affected varying as well Accordingly, using materials exhibits better realistic behavior intermediate between viscous behaviors.