Transfer Matrix Analysis

Abstract

Vibration analysis of arbitrary shaped structures has been of interest to structural designers for several decades. Dynamic behavior of these structures is strongly dependent on boundary conditions, geometrical shapes, material properties, different theories, and various complicating effects. Closed-form solutions are possible only for a limited set of simple boundary conditions and geometries. For analysis of arbitrary shaped structures, several numerical methods, such as finite element method, finite difference method, boundary element method, and so on, are usually applied. In this paper, we have tried to put some light on the methods of calculation of methods to find out the vibration in structural members by taking advantages Transfer Matrix Methods in calculating the vibration in Multi-Storied Buildings, the various beam actions in a given beam with some given loading criteria and also used to compute the natural frequency of a shaft under torsional vibration. Computer-Aided Analysis has also been provided to calculate the vibration in a multi-storied building.