Exploring the behavior of a strung computational Stradivarius violin
摘要
Highly detailed design knowledge of a Golden-Period Stradivarius violin, the CT-scanned Titian, is incorporated into a computational violin with tensioned strings that are plucked. It includes full compressible aerodynamic interaction between violin structure and air. The resulting computational instrument plays music, as demonstrated with measures of a Bach solo violin fugue and the song Daisy Bell, as received by an audience member at any range and direction from the instrument. Violin design is then evaluated directly from the computational instrument’s plucked string output in an efficient and controlled computational manner, potentially saving significant time and resources in lutherie and making possible new forms of musical expression. To explore quantitative violin performance metrics, power efficiency across plucked, open and fingered notes is computed and found to exhibit significant departures from uniformity. Commensurate playing compensation is shown to be necessary to achieve uniform power output across notes. Via high resolution spatial computations on and around the violin, significant variations are found in acoustic power flow from key violin components across frequency. These are found to propagate outward and lead to variations in radiated sound intensity at the position of a listening player or audience member over frequency, which can be large for small changes in either.