Vibrational analysis of framed structures

Abstract

Generally the stress and deformation analysis of any structure is done by constructing and analyzing a mathematical model of a structure. One such technique is Finite element method (FEM). A frame is subjected to both static and dynamic loading with dead load comprising the static load and the all other time varying loads making up the dynamic load. This project titled “ Vibrational Analysis of Frames “ aims at analyzing the frame both statically and dynamically using the matrix approach of FEM by developing generalized codes in MATLAB. The analysis comprises of the static analysis of frame and the variation of various parameters such as displacement, moment etc with increasing number of storey’s as well as dynamic analysis wherein a code is developed to find the natural frequency of the structure along with the various other parameters. A structure is always vibrating under dynamic loading such as wind etc and if the vibrating frequency equals the natural frequency of the structure, resonance might take place. It is thus necessary to analyze all these aspects of a structure first which we aim with our study.