Physical Modelling of Guitar Strings with Realistic Boundary Conditions
* Presenting author
The physical modelling of guitar strings consists of two main tasks: First, the modelling of an interior model describing the oscillation behavior of the string itself and, second, the incorporation of realistic boundary conditions connecting the string to a guitar body. For the modelling of the interior string model the Functional Transformation Method can be used, which turns a physical system described by a set of partial differential equations into a synthesis algorithm with real-time capability. However, the incorporation of realistic boundary conditions may largely increase the complexity of the interior model, therefore it is reasonable to initially implement the string model with simple boundary conditions. In a second step realistic boundary conditions can be realized by the design of a feedback control loop around the interior model. This design procedure leads to a modular real-time algorithm with separate components for strings and for the coupling to the guitar body.