Physics-based emulation of spring reverberation

On this basis, the work here sets out to improve on past thin spring attempts by now incorporating the magnetic beads' dynamics at the input and output. A more complex damping model is also considered.<br><br>The magnetic beads and their supporting wires are modelled as stepped beams. Experimental work using a high-speed camera informs how input and output are defined in a model with beads incorporated.

Developing an alternative thin spring formulation allows modelling the full system with the same set of equations. The methodology to arrive at a discrete-time modal algorithm starting from the reverb tank formulation uses the Chebyshev pseudospectral method and impulse invariant method to discretise space and time, respectively.<br><br>The main outcome of the improved physical model is achieving, for the first time, a close match with a measured impulse response starting from a helical spring model that fully captures the helical geometry.

The reproduction of a measurement's main features is verified visually via both spectrogram and time-domain plots; aural comparisons concur. The final algorithm is real-time capable, and a proof-of-concept audio plugin demonstrates scope for online control of physical parameters.