Volume 104, Issue 6, December 1998
Index of content:
- MUSIC AND MUSICAL INSTRUMENTS 
and coupling, arching, rib height, and f-hole geometry dependence in the 2 degree-of-freedom network model of violin cavity modes104(1998); http://dx.doi.org/10.1121/1.423943View Description Hide Description
Six free parameters in the 2 degree-of-freedom (2DOF) network model [E. A. G. Shaw, J. Acoust. Soc. Am. 87, 398–410 (1990)] for the and cavity modes of the violin were optimized by fitting a 64-measurement database of frequencies and upper-/lower-bout pressure ratios obtained by varying volumes of water in a rigid, zero-arch aluminum violin cavity surrogate with various orientations. The optimized 2DOF model predicts an frequency dependence on cavity volume of quite different from the Helmholtz value of but in excellent agreement with experiment, signaling substantial coupling between the and modes. After modifying the model to separate rib height and arching dependence, predicted frequencies and pressure ratios behaved similarly—all decreased with increasing rib height or arching—with the notable exception of frequencies, which increased with arching. For 11 instruments ranging in size from a 1/16th size violin to violoncellos, the optimized 2DOF model predicted frequencies consistently ∼11% higher than experiment; similarly frequency predictions were 15% high. The effects of sliding, flipping or rotating the f-holes were also investigated.