VIBRATION ANALYSIS OF CONTINUOUS BEAM WITH FREE-FREE BOUNDARY CONDITION

Abstract

Free vibration analysis of a continuous beam with free-free boundary condition is carried out in this work. The study of vibration plays a significant role in many engineering problem. All mechanical systems exhibit vibrational response when exposed to disturbances. Study of vibration generally helps a designer to identify areas of weakness in the design or areas where improvement is needed. Free-free end condition is generally encountered during operating condition of aeroplanes, missiles, submarine etc. where the structure is not supported at the both ends as such they are floating in space. Two significant parameters associated with a vibrating body are natural frequency and mode shape. In order to design structure for noise and vibration applications, understanding of both natural frequency and mode shapes are quite necessary. In this project, the mathematical model of a beam is developed with the help of Euler- Bernoulli beam theory, which depicts the natural f requency of the beam and associated mode shape of the beam. Then, bond graph model of the beam is created and modelling and simulation of the beam is carried out by using Symbol Sonata software and ANSYS 15.0 software. Moreover, experimental analysis is also performed through OROS sof tware. Results obtained through mathematical model are further compared with experimental model and computational model, which provide a considerable agreement with the other. Finally, useful conclusions are drawn from results obtained through these approaches and further studies are suggested.