Vibrational analysis and time response of a beam traveled by a series of moving loads

Author

golestan university

10.22044/jsfm.2026.17553.4051

Abstract

This paper investigates the vibrational behavior and time response of a simply supported beam traveled by a series of moving loads. The Euler-Bernoulli beam theory is employed for modeling, and the governing dynamic equations of the problem are solved analytically. Initially, the vibrational behavior of the beam caused by the passage of a single concentrated load is examined for two stages: before and after the load exits the beam. Subsequently, this analysis is extended to a series of loads moving at equal spacing, which enter the beam from the left side and exit after traversing its length. Various load movement scenarios, including motion in two opposite directions, are also studied. The effects of load velocity and the spacing between loads on the time response at the beam's midpoint and the maximum beam deflection are analyzed. The obtained results indicate that for specific combinations of load velocity and load spacing, the vibration amplitude increases due to the resonance phenomenon, which must be taken into account in beam design.

Keywords

Main Subjects

Journal of Solid and Fluid Mechanics
Volume 16, Issue 3
July and August 2026
Pages 349-364

Files

Share

How to cite

Statistics