Abstract—It was purposed to understand the dynamic response of frame which are subjected to moving point loads. The finite element method and numerical time integration method (New mark method) are employed in the vibration analysis. The effect of the speed of the moving load on the dynamic magnification factor which is defined as the ratio of the maximum dynamic displacement at the corresponding node in the time history to the static displacement when the load is at the midpoint of the structure is investigated. The effect of the spring stiffness attached to the frame at the conjunction points of beam and columns are also evaluated. Computer codes written in Mat lab are developed to calculate the dynamic responses. Dynamic responses of the engineering structures and critical load velocities can be found with high accuracy by using the finite element method.

Index Terms—Beam, Finite element methods, Numerical tine integration method, Dynamic magnification factors, Stiffness, Shape function, Critical load velocity

Cite: Arshad Mehmood, "Using Finite Element Method Vibration Analysis of Frame Structure Subjected to Moving Loads," International Journal of Mechanical Engineering and Robotics Research, Vol. 4, No. 1, pp. 50-65, January 2015.