Abstract
The violin is a long-standing problem in acoustics due to the complexity of its shape, the interactivity of its various modes of response, and the inherent complications of coupling these to the acoustic field, independent of any quality aspects. By combining zero-mass loading modal analysis of the violin with simultaneous acoustic measurements over a sphere in an anechoic chamber, major acoustic energy sources were identified among the coterie of corpus (top+back+ribs) modes and interior cavity (via two ports, or f-holes) modes up to 4 kHz. Direct radiation from substructures such as the neck-fingerboard, bridge, and tailpiece was not significant. For each mode the total damping and the radiation efficiency and damping were computed, along with a simple top-back radiation directivity ratio using rms radiativities. The fraction-of-vibrational-energy-radiated was estimated from the radiation-to-total-damping ratio. A new addition to the modal violin acoustics investigations was the application of near-field patch holography to help determine the relative contributions of corpus and port radiation to overall violin radiativity. [Work supported by NSF and ONR.]
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