1. Limit cycle oscillations of a violin string.
- Author
-
Shayak, B.
- Subjects
- *
VIOLIN strings , *BOWED stringed instruments , *WAVE equation , *NONLINEAR systems , *PARTIAL differential equations - Abstract
In this work, we write and solve a first principles model for the motion of a bowed string. We find limit cycle oscillations driven by stick-slip friction. The shape of these oscillations is in accordance with the Helmholtz-Rayleigh motion. We observe that when bow force, bow speed, and other parameters are varied, the stable limit cycle occurs in a narrow region of parameter space. This explains why it is difficult for amateurs to produce musically acceptable sounds from the instrument. [ABSTRACT FROM AUTHOR]
- Published
- 2018
- Full Text
- View/download PDF