Harmonic configurations of non-homogeneous membranes

Antunes, Pedro R. S.

http://hdl.handle.net/10400.2/7173

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Authors

Antunes, Pedro R. S.

Abstract(s)

We consider the problem of finding composite membranes of drums that allow to have approximate harmonic relations involving some the smallest eigenfrequencies. This problem was already addressed in previous studies. Here we propose a numerical approach that allows to improve the results obtained in those references. We consider also the problem of finding optimal radial and continuous density in a circular membrane and the optimization problem of composite membranes with general shape. In both cases we describe numerical methods that allow to propose new configurations of membranes with approximate harmonic relations between some of the smallest eigenfrequencies.