VIBRATION ANALYSIS OF BEAMS WITH GENERAL BOUNDARY CONDITIONS TRAVERSED BY A MOVING FORCE

This paper contributes to the basic fundamental problem of vibration of elastic homogeneous isotropic beam with general boundary conditions traversed by moving loads. Closed-form solutions for the response of beams subjected to a single deterministic moving force are obtained. The moving force is assumed to move with accelerating, decelerating and constant velocity types of motion. Results show in detail different cases of boundary conditions, type of motion, and damping. Effects of variations of the corresponding parameters on the response of the beams are studied. Results presented in this paper are readily applicable for further investigation in this field.