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Harmonics ofSmotion on bowed strings

 

作者: Bo Lawergren,  

 

期刊: The Journal of the Acoustical Society of America  (AIP Available online 1983)
卷期: Volume 73, issue 6  

页码: 2174-2179

 

ISSN:0001-4966

 

年代: 1983

 

DOI:10.1121/1.389541

 

出版商: Acoustical Society of America

 

数据来源: AIP

 

摘要:

Lossless bowed strings have usually been thought to possess a motion discovered by Helmholtz in 1863. However, it was shown [Acustica44, 194–206 (1980)] by the author that a more complicated standing wave motion, theSmotion, exists on such strings provided both the bowing distance and bowing force are above certain minimum values. This paper exploresS‐motion harmonics which give arise to waveforms of considerable complexity on very thin strings. Equations are found which describe the experimentally determined waveforms as a function of bow position, bow velocity, and observation point. In the special case of square velocity waves at the bow point, the equations give quantized values for the bow/string sticking duration. That result agrees with Raman’s [Proc. Ind. Assoc. Adv. Sci.15, 1–158 (1918)] prediction. In general, however, the waveforms have rounded corners.

 

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