The Mathematics of the Vibrating Membrane as Applied to African Drums with Varying Tension Compared with Those of Constant Tension: The Case of the “Donno” and the “Atumpan”.
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Date
2010-07-12
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Abstract
In this thesis the physical modeling of two Ghanaian percussive drums the “donno” of the Akans or “Lunna” of the Dagbambas and the “Atumpan” of the Akans was approached using the two dimensional wave equations and by imposing boundary and initial conditions on the drumhead. A remark is made about the overtones of these local drums after using matrix laboratory (matlab) to generate their Normal modes using three different types of initial velocity functions.
Description
A Thesis Submitted to the Graduate School Board Kwame Nkrume University of Science and
Technology, Kumasi-Ghana, in Partial Fulfillment of the Requirements for the Award of the Degree of Master of Philosophy (Mphil) in Mathematics.