# Vibration Of a Cantilever Beam

October 08, 2015

Purpose – The purpose of this paper is to investigate the vibration of a cantilever steel beam by comparing to the theory and experimental results. A further aim is to develop mathematical modelling equations from experimental results whether engineers can use to get a quick insight into the overall behaviour of the system. Subsequently, the mathematical model equation is also refined by adding more engineering applications and/or components details so that the behaviour of a cantilever steel beam system can be observed more closely. Another important aim of the project is to locate resonance frequency of a cantilever steel beam by driving external force into a system.

Approach – A series of experiments were conducted on the topic ‘vibration of a cantilever beam’ at workshop E123 of London South Bank University. Then the experimental results were analysed and plotted by Matlab R2008a software to compare with theory. A curve fitting technique was also used to find mathematical modelling equations from experimental results.

Findings – Although a small chain of investigations were conducted on the topic ‘vibration of a cantilever beam’, it is transparent that the solution of the experimental results gives accelerations, velocities and displacements of diverse masses of the system. Experimentally it was also established if the driving frequency of the external force coincides with natural frequency of a cantilever steel beam system, the resonance frequency is occurred and the system amplitude increases very dangerously.

Practical Insinuation – The experimental results suggest that the forced vibration of a cantilever beam is associated with the incidence of resonance frequency. In fact, the collapse of the engineering application structure such as wind turbines, lamp post, buildings and bridges have been collapsed because of the resonance frequency in the system. On the other hand, free vibration of a cantilever steel beam’s mathematical model equation must be construes the possible engineering applications.

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Great mental calculation exercise for all age and it will be fun.