Physikalische Modellierung des Klavierklanges

Diplomarbeit (Download: WordPerfect Datei, gezippt 1.28 MB), September 1997

The subject of this diploma thesis "Physical Modeling of the Sound of a Grand Piano" is the simulation of the sound of a grand piano by means of physical modeling.
The first part contains a description of the acoustics of the piano and a detailed mathematical representation of the physical properties. Various parts of the piano are modeled seperately with the purpose of understanding how they work. They are also prototypes for the implementation of the complete instrument.
An overview about different types of physical models is given. Examples for the piano are proposed with the aim to work with common signal processing tools.
The complex models are simulated with the MatLab-Toolbox Simulink. This grafic oriented software proved to be very efficient because of it's signal processing functions. Less complicated models are implemented to work in real-time on a NeXT-Computer.