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Isospectral Drums

Application ID: 119

Striking a drum excites a spectrum of vibration modes that together make up the instrument’s characteristic sound or acoustic signal. These vibration modes correspond to the eigenmodes, or eigenfunctions, of the drum’s membrane. Thus you can study this problem by solving eigenvalue problems for stretched membranes.

Two different geometric shapes are modeled, with all other parameters being equal. If you can find two differently shaped membranes that have identical eigenvalues—in other words, they are isospectral—then it’s not possible to “hear” the shape of a specific drum.

This application was built using the following:

COMSOL Multiphysics®

The combination of COMSOL® products required to model your application depends on the physics interfaces that define it. Particular physics interfaces may be common to several products (see the Specification Chart for more details). To determine the right combination of products for your project, you should evaluate all of your needs in light of each product's capabilities, consultation with the COMSOL Sales and Support teams, and the use of an evaluation license.