Abstract
Violin radiativity profiles are dominated by contributions from the Helmholtz-like A0 cavity mode near 280 Hz, the first corpus bending (B1) modes near 500 Hz, followed by a slow rise, peaking near 2.4 kHz, and a slow falloff above this peak. A blend of total damping trends, f-hole air motions, bridge-filter effects, bridge versus bridge-island impedances, effective critical frequencies fcrit, and radiation efficiency-damping trends was used to create a structural acoustics model for the entire profile. The lowest top and back plate bending modes 2 and 5 subsumed into the B1 modes provide nominal values for the violin fcrit as well as significantly influencing the B1 mode frequencies. A0 excitation via coupling of f-hole volume flows with those of the B1 modes is proposed. This coupling predicts A0 radiativity increasing as the A0-B1 frequency difference decreases, in accord with recent VIOCADEAS data (including violin octet experimental results) and a 1937 experiment involving too-thick/too-thin plate thickness and soundpost removal. Simplified simulations show the fraction-of-vibrational-energy-radiated Frad peaking at fcrit (nominally coinciding with the bridge-filter peak). Dropping fcrit drops this peak frequency, reduces the maximum Frad, and changes the relative spectral balance in vibration-acoustic energy conversion.
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