Previously, we used finite element analysis to visualise the modal patterns and frequencies of the simple percussive instrument, the “Tongue Drum”. For this analysis, we’re going to switch from the frequency domain, to the time domain, with the ultimate goal of “hearing” our fully simulated drum! We’re back in MATLAB’s pde toolbox, this time leveraging
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[EDIT]: Updated to a later version of MATLAB (2019a), so code has been updated to suit. Also, see the follow up for time domain simulations! We’ve had a look at using finite element analysis to solve the wave equation in 2D geometries to find room modes and resonances (here), so the next step up is
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Lets put some theory to the test by finding the room resonances of simple (and maybe not so simple) 2D polygonal rooms using computational methods. I’ll explain the code, and provide a file for download as well. The Problem To find room resonances, we need to solve the Helmholtz Eigenvalue problem (see here for why)
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