The combined effects of uniform partially distributed moving mass, coriolis and centripetal forces on the response of Euler-Bernoulli beams
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Date
2011
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ICASTOR Journal of Mathematical Sciences
Abstract
In this paper, the dynamic response of a pinned-pinned (simply-supported) Euler-Bernoulli beam under the influence of a uniform partially distributed moving mass, whose velocity and magnitude are assumed constant, is studied. The influence of both Coriolis and centripetal forces, which are always assumed negligible, is then analyzed. The governing partial differential equation of the beam is first transformed into a set of ordinary differential equations using separation of variable technique. Next, Duhamel’s integral solution technique is adopted for analyzing the influence of the uniform partially distributed moving mass, Coriolis and centripetal forces on the dynamic response of the beam. Various numerical results, which showed the individual as well as the combined influence of the distributed moving mass, Coriolis and centripetal forces on the response of the beam, are presented. Furthermore, concluding remarks, which are useful for the purpose of structural designs, are presented.
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Keywords
Coriolis and centripetal forces, uniform partially distributed moving mass, concentrated moving mass, moving force, Euler-Bernoulli beam