Action of Moving Loads on the Bernoulli-Euler and Timoshenko Beams


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Abstract

The dynamic behavior of Bernoulli-Euler and Timoshenko beams subjected to a moving concentrated load is considered. Deflection expressions are found in the form of convergent series for a pretensioned beam and for a beam on an elastic foundation. We determine the parameter ranges for which the results of these two models are coincident. It is shown that, under certain conditions, a resonance is possible in such a system.

About the authors

T. I. Zhdan

Faculty of Mechanics and Mathematics

Author for correspondence.
Email: tzhdan1992@mail.ru
Russian Federation, Leninskie Gory, Moscow, 119899

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