Dynamic analysis of pre-stressed elastic beams under moving mass using different beam models

This study presents dynamic analysis of pre-stressed elastic beams under the action of moving mass loads by using Bernoulli-Euler, Rayleigh, and shear beam models. It is assumed the mass moves with a constant speed and is in continuous contact with the beam during its motion. Discrete equations of motion with time-dependent coefficients are obtained by using the assumed mode method for each beam models considered. Numerical calculations are made by Newmark method to obtain dynamic response of the beam. Effects of the pre-stressing force, rotatory inertia and transverse shear on the results for the dynamic deflection and bending moment of the beam and the interaction force between the mass and the beam are studied by depending on mass weight and speed of the moving mass.