Solving interactions between nonlinear resonators
Résumé
In the context of musical acoustics, physical models of musical instruments have to be more and more sophisticated. For string models, realism is obtained by taking into account tension, flexion, shear, rotation and coupling phenomena but also nonlinear effects due to large displacements. The sound synthesis modal method is extended to the nonlinear case using Volterra series. The inverse problem of interaction between two acoustical objects is solved by finding the roots of a polynomial at each time step.
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