Transverse vibrational Analysis of simply supported beam

Abstract

The bending phenomenon is common in simply supported beams as the beams are subjected to flexural loading in design considerations. In this paper, the effect of free vibration of the hinged beam was investigated using a finite element method and the basic understanding of the influence of applied force on natural frequencies of cantilever beam is presented . Hamilton’s principle applied to the Lagrangian function is used to derive the equations of motion. In addition other factors affecting the vibration of beams are discussed. The variables of the hinged beam are:
1. Slenderness ratio

2. Shearing consideration



The numerical results for free vibration of beam are presented. These results are compared with the results obtained using MATLAB R2010a to plot the modal natural frequency of simply supported beam. The module frequencies can be highly useful for the vibration analysis and the resonance in a structure. So, the beam is taken and its module natural frequencies are
computed.