This paper presents simulations of nonlinear plate vibrations in relation to sound synthesis of gongs and cymbals. The von Karman equations are shown and then solved in terms of the modes of the associated linear system. The modal equations obtained constitute a system of nonlinearly coupled Ordinary Differential Equations which are completely general as long as the modes of the system are known. A simple second-order time-stepping integration scheme yields an explicit resolution algorithm with a natural parallel structure. Examples are provided and the results discussed.
Ducceschi, M., Touze, C. (2015). SIMULATIONS OF NONLINEAR PLATE DYNAMICS: AN ACCURATE AND EFFICIENT MODAL ALGORITHM. O S BRAGSTADS PLASS 2E, 7491 TRONDHEIM, NORWAY : NORWEGIAN UNIV SCI TECHNOL.
SIMULATIONS OF NONLINEAR PLATE DYNAMICS: AN ACCURATE AND EFFICIENT MODAL ALGORITHM
Ducceschi, M;
2015
Abstract
This paper presents simulations of nonlinear plate vibrations in relation to sound synthesis of gongs and cymbals. The von Karman equations are shown and then solved in terms of the modes of the associated linear system. The modal equations obtained constitute a system of nonlinearly coupled Ordinary Differential Equations which are completely general as long as the modes of the system are known. A simple second-order time-stepping integration scheme yields an explicit resolution algorithm with a natural parallel structure. Examples are provided and the results discussed.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
