Coupled simulations of vibration of a violin and acoustic radiation around it were conducted for antique violins such as Stradivari and Guarneri del Gesu. The detailed 3D geometric data for the violin were obtained by using a micro-CT scanner. Importing the geometric data of parts of the violin as top/back plate, bridge, sound post, etc. into the COMSOL Multiphysics software, the FEM calculations were conducted. Focused were the vibration in the first cavity mode (A0) and the sound radiation caused by forced oscillation in Stradivari and Guarneri. It was shown that the directions of sound radiations differed between the above two violins and the difference in directivity was observed at a higher frequency.
Yokoyama et al. (Wed,) studied this question.