Dynamic response of beam and frame structure subjected to moving load

Abstract

In this work the dynamic response of beam and the frame structure is studied. Analysis is done with the help of finite element analysis method. Beam structure is divided into ten elements for constituting the mass and stiffness matrices. Frame structure consists of two columns of equal geometry. Each column is divided into ten elements having the same property as beam. Euler Bernoulli beam theory is assumed for the analysis of these structures. Three different boundary conditions are taken such as clamped-clamped, pinned-pinned and clamped-pinned for dynamic analysis. Two degree of freedom is considered for beam and the effect of moment and inertia is neglected for moving load problem. A concentrated load moving at constant speed over the beam. Comparison between static and dynamic displacement is done for different boundary conditions. MATLAB programs are developed to get the response and the results were validated with previous research work. The study of dynamic response is having a great importance in the field of mechanical, civil and aerospace engineering. A dynamic load varies with time and space for example railway track, roadways, bridges, cranes, rope ways are some examples of structures subjected to dynamic load. The beam and the columns of the frame structure are divided into ten elements each. Mid point displacement is studied for concentrated point load moving at constant speed. The obtain results are collected and response graph are plotted for different boundary conditions. The results are compared and conclusions are drawn.