Modern transport systems have undergone significant advancements, necessitating improved structural models for analyzing the dynamic response of beams under moving loads. This study investigated the response of an Euler-Bernoulli beam with variable elastic K-stiffness subjected to a partially distributed moving mass. The beam is simply supported, and the moving mass travels at a constant velocity. A mathematical model is developed, incorporating the effects of stiffness variation, inertia, and load distribution. The governing equation is solved using an analytical-numerical approach with Maple. Results indicate that the effect of a moving mass is more significant than that of a moving force, influencing beam deflections based on stiffness variations. These findings provide insights into optimizing beam designs for transport and structural applications.
Idowu et al. (Mon,) studied this question.