Nonlinear physical modeling sound synthesis of cymbals involving dynamics of washers and sticks/mallets

This paper is concerned with the extension of existing nonlinear physical modeling sound synthesis cymbals to that involving dynamics washers supporting center and sticks/mallets striking cymbals. The body a cymbal physically modeled as shallow spherical shell its governing equation discretized in space using finite difference method, was implemented research. In addition, washer, related support conditions cymbal, single-degree-of-freedom vibration system involved model cymbal. Furthermore, stick/mallet also by it multi-degree-of-freedom element method coupled vibration. time-domain differential total implicit schemes. Trial numerical calculations demonstrate developed effective grasping change timbre due sticks/mallets.