@inproceedings{ViTa2015_70,
	author = {Pfeifle, Florian},
	title = {Modeling string boundary conditions and string coupling in lute instruments},
	booktitle = {Proceedings of the Third Vienna Talk on Music Acoustics},
	year = {2015},
	pages = {124--124},
	editor = {Mayer, Alexander and Chatziioannou, Vasileios and Goebl, Werner},
	abstract = {An idiosyncratic feature of all lute instruments is the specific fixation of the 
strings leading to certain physical boundary conditions.
Alongside the structural functionality of the string adjustment, the bridge and the nut, 
fixing the taut string at both ends, the string fixation transmits vibrational energy 
from the strings to the instrument's resonator and vice versa. 
An effect arising from this bi-directional coupling is a moving string fixation
leading to time varying boundary conditions. 
In addition to this, the specific fixation of the strings leads to differing admittances 
in the respective transverse polarization of the string, giving rise to non-linear 
energy transfer between the polarizations.
In this treatise, several fixtures are modeled, showing the influence of the boundary 
conditions on the string motion as well as the mechanical coupling strength in the respective
direction of motion. 
The strings are modeled using finite difference approximations for the spatial domain
and a locally symplectic integration scheme for the time domain discretization. 
The numerical results are compared to measurements taken with a high-speed 
camera and a piezoelectric transducer, giving insight to the feasibility of the proposed model
parameters and showing the influence on the resulting sound.},
	address = {Vienna, Austria},
	publisher = {Institute Of Music Acoustics (Wiener Klangstil)},
	
}