Time-Domain Simulation of Rectangular Membrane Vibrations with 1-D Digital Waveguides
Maarten van Walstijn, Eoin Mullan · Research Portal (Queen's University Belfast) · 2011
One-dimensional musical resonators such as strings and tubes can be e ciently modeled in the time domain using digital waveguides. In this paper it is shown how 1-D digital waveguides may also be employed as e cient building blocks in simulations of higher dimensional systems governed by the wave equation. Focusing on synthesis of membrane vibrations driven by external forces, it is shown that all normal modes within a speci ed bandwidth can be captured with a nite set of extracted waveguides, each representing plane-wave motion in a speci c direction. A digital realisation is presented and validated via numerical comparisons. The results of a computational complexity analysis indicate that if a su cient number of waveguides can be discarded synthesis by digital waveguide extraction is more e cient than modal synthesis.