Özge Akar, M. Sc.
The physics of bowed strings has been studied extensively since the 19th century. Hence, music instruments based on this kind of sound generation provide a reliable basis for further investigations. In the context of this research, structural dynamic studies of the violin are conducted via a finite element approach.
The core idea is the modelling of the bowed string movement. The bowing triggers the stick-slip phenomenon on a violin string, thus the so-called Helmholtz motion is performed by the string. A decoupled investigation of the other violin components like the bridge, the plates, etc., will be performed via numerical modal analysis. The bowed string model will be augmented by those components gradually and a coupled analysis will be performed. A comparison with experimental data will be conducted in order to verify the numerical results.
The suitability of bowed string instruments for structural dynamic considerations can be seen in the different physical effects that occur in string bowing. The proper definition of the contact areas all over the violin as well as the geometric nonlinearity of the string, torsional vibrations and the viscous behaviour of the rosin make the violin an versatile application example. The findings can be used for many other applications especially in the field of engineering.
Investigation of string motions of bowed string instruments: A finite element approach
38th IMAC, A Conference and Exposition on Structural Dynamics, 2020 (Houston, TX, 10. February 2020 - 13. February 2020)
In: Gaetan Kerschen, Matthew R.W. Brake, Ludovic Renson (ed.): Conference Proceedings of the Society for Experimental Mechanics Series 2021
Investigation of the Helmholtz Motion of a Violin String: A Finite Element Approach
In: Journal of Vibration and Acoustics-Transactions of the Asme 142 (2020)
Application of the fast nonlinear analysis method on a clamped beam with a cubic spring
In: Proceedings in Applied Mathematics and Mechanics 19 (2019)