Designing Quasi-harmonic Circular Membranes with Different Densities on Angular Sectors
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Abstract
We develop a mathematical method to design new circular drum membranes vibrating with maximal harmonicity. The membranes considered have different areal mass density, first over two sectors of complementary central angles, and second over N sectors of the same central angle. We exemplify the method with membranes having two or three different densities.
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