Beam auralization in the time domain using the finite element method
Συγγραφείς
Σπυρίδων Κουζούπης, Χρήστος Παναγιωτόπουλος, Άγγελος Κόντος-Πανταζής
Σύνοψη
Time-domain modeling of a mallet percussive musical instrument, like an aluminum vibraphone or a wooden marimba bar, struck by a spherical mallet head, is conducted using the finite element method. The bar is modeled as an Euler-Bernoulli beam. Eigenvalue optimization previously led to a non-uniform bar profile with the three lowest eigenfrequencies in proper musical ratios. Given that musical instruments are typically played in enclosed spaces, a realistic acoustic profile is sought by considering the impact of the surrounding room. This involves the vibro-acoustic interaction of the bar with the surrounding air. The dynamic problem is addressed as the beam is struck by a rounded mallet head. A detailed analysis of the impact during the initial phase of the dynamic issue is also provided. The resulting sound from a single bar is captured by virtual sensors positioned at various points within the room or in open space. Additionally, scenarios where a 2D tube is placed under the bar (a common method for sound sustain in real musical instruments) are explored. Auralizations are carried out at multiple locations within the room and with various combinations of bar and mallet head materials. While the primary vibro-acoustic problem is examined in 2D, qualitative assessment of the obtained sensor signals, via listening tests, reveals satisfactory outcomes.
