Dynamic Behavior of Euler Bernoulli beam of Arbitrary Number of Variable Elastic K-Stiffness under a Partially Distributed Moving Load

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.