Modal Representation of the Resonant Body within a Finite Difference Framework for Simulation of String Instruments

This paper investigates numerical simulation of a string coupled<br/>transversely to a resonant body. Starting from a complete nite<br/>difference formulation, a second model is derived in which the<br/>body is represented in modal form. The main advantage of this hybrid form is that the body model is scalable, i.e. the computational<br/>complexity can be adjusted to the available processing power. Numerical results are calculated and discussed for simplied models<br/>in the form of string-string coupling and string-plate coupling.