Dynamic Response of a Beam Structure to a Moving Mass Using Green’s Function

Abstract

The dynamic responses of a beam subjected to a moving load or moving masses have been of importance in the design of railway tracks and bridges and machining processes. The importance of this problem find uses in many applications in the field of transportation, Bridges, guide ways, overhead cranes, cableways, rails, roadways, runways, tunnels and pipelines. These structural elements are designed to support moving masses. In the present study the equation of motion in matrix form for an Euler beam subjected to a concentrated mass moving at a steady speed is formulated by using the Green’s function approach. The solutions of the declared problems for the case of simply supported and cantilever beams are evaluated by using Dynamic Green’s function. In the present work, the effect of the moving mass and its speed on the dynamic response of simply supported and cantilever beam for two different materials have been investigated. An experiment is also conducted which supports the analytical results.