Author(s)

O. Inácio, L. Henrique & J. Antunes

Abstract

Nonlinear dynamics and playability of bowed instruments: From the bowed string to the bowed bar 0. lnaciol, L. ~ e n r i ~ u e ' , J. ~ n t u n e s ~ '~scola Superior de Musica e Artes do Espectaculo, lnstituto Politkcnico do Porto, Portugal. 2Applied Dynamics Laboratory, Institute of Nuclear Technology, Portugal Abstract The numerical simulation of bowed-string instruments has been traditionally implemented using wave propagation methods. In this paper we use a timedomain modal approach coupled with an explicit model for the frictional forces in order to compare the non-linear dynamical behaviour of two characteristic bowed musical systems: bowed strings and bowed bars. In order to understand the influence of the tuning undercut in the dynamical response of the bowed bar, we select three different bar profiles: a constant cross-section bar with inharmonic relationships of the modal frequencies; a traditional vibraphone bar with the first three bending modes into an approximately harmonic rel

Keywords