An empirical investigation of bow-force limits in the Schelleng diagram
2008 (English)In: Acta Acoustica united with Acustica, ISSN 1610-1928, Vol. 94, no 4, 604-622 p.Article in journal (Refereed) Published
An experimental study of the upper and lower bow-force limits for bowed violin strings is reported. A bowing machine was used to perform bow strokes with a real violin bow on steel D and E strings mounted on a rigid monochord and on a violin. Measurements were systematically performed for 11 values of relative bow-bridge distance and 24 values of bow force at four bow velocities (5, 10, 15 and 20 cm/s). The measured string velocity signals were used to compile Schelleng diagrams, showing the distribution of different classes of string motion (multiple slipping, Helmholtz motion, raucous motion). It was found that the maximum bow-force limit for Helmholtz motion corresponded well to Schelleng's equation in modified form, taking the shape of the (hyperbolic) friction curve into account. The minimum bow force was found to be independent of bow velocity, which is in clear contradiction to Schelleng's prediction. Observations and simulations suggested that the breakdown of Helmholtz motion at low bow forces involves a mechanism related to ripple and corner rounding which was not taken into account in Schelleng's derivation of minimum bow force. The influence of damping showed only qualitative agreement with Schelleng's predictions.
Place, publisher, year, edition, pages
2008. Vol. 94, no 4, 604-622 p.
bow-string interaction, bowed string, violin, bow-force limits, Schelleng
Musicology Other Physics Topics
IdentifiersURN: urn:nbn:se:kth:diva-9822DOI: 10.3813/AAA.918070ISI: 000258950400012ScopusID: 2-s2.0-51349142169OAI: oai:DiVA.org:kth-9822DiVA: diva2:133358
QC 201008092009-01-092009-01-092011-11-08Bibliographically approved