The Mathematics of the Vibrating Membrane: The Case of the “GUNGON”.
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Date
2011
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Abstract
In this thesis, we developed a model of the “Gungon” drum based on the two dimensional wave equation to investigate the sound (the normal modes) made when hitting different points on the drumhead and the effect of the Fourier coefficient on the sound produced.
We used the mathematical software package, MATLAB to run all simulations to obtain the values of the deflections at different radii and time. The results churned out were then analysed and interpreted in the light of the thesis topic. It was observed that the highest deflection was always produced at the centre (r=0) at different time (t), this is what you hear most when you play the drum.
Description
A thesis submitted to the Board of Postgraduate Studies, Kwame Nkrumah University of Science and Technology, Kumasi, in partial fulfilment of the requirements for the award of the Degree of Master of Philosophy in Mathematics,