Torsional Behaviour of Cello Strings

The behaviour of a bowed string depends, among other things, on the frequency, impedance and internal damping of torsional waves on the string. Very little published information is available about these quantities, especially the torsional damping. Measurements of all relevant torsional properties have been made on cello strings of three different constructions. These show that the torsional modes are harmonically spaced to reasonable accuracy, and that the Q factors are approximately equal for all modes of a given string. These torsional Q factors are roughly an order of magnitude smaller than those of the transverse modes of the same string. The torsional wave speed varies somewhat with the tension in the string, decreasing with higher tension. The damping factors are not significantly influenced by tension. These results have been expressed in terms of a novel "reflection function" [1] suitable for direct incorporation into simulations of the bowing process.

High-performance bowing machine tests of bowed-string transients

The development is described of a computer-controlled bowing machine that can bow a string with a range of gestures that match or exceed the capabilities of a human violinist. Example measurements of string vibration under controlled bowing conditions are shown, including a Schelleng diagram and a set of Guettler diagrams, for the open D string of a cello. For some results a rosin-coated rod was used in place of a conventional bow, to provide quantitative data for comparison with theoretical predictions. The results show qualitative consistency with the predictions of Schelleng and Guettler, but details are revealed that go beyond the limitations of existing models. © S. Hirzel Verlag · EAA.