Energy based simulation of a Timoshenko beam in non-forced rotation. Application to the flexible piano hammer shank.Reportar como inadecuado




Energy based simulation of a Timoshenko beam in non-forced rotation. Application to the flexible piano hammer shank. - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

1 Magique 3D - Advanced 3D Numerical Modeling in Geophysics LMAP - Laboratoire de Mathématiques et de leurs Applications Pau, Inria Bordeaux - Sud-Ouest 2 IMB - Institut de Mathématiques de Bordeaux

Abstract : A nonlinear model for a vibrating Timoshenko beam in non-forced unknown rotation is derived from the virtual work principle applied to a system of beam with mass at the end. The system represents a piano hammer shank coupled to a hammer head. An energy-based numerical scheme is then provided, obtained by non classical approaches. A major difficulty for time discretisation comes from the nonlinear behavior of the kinetic energy of the system. Numerical illustrations are obtained by coupling this new numerical scheme to a global energy-preserving numerical solution for the whole piano. These numerical results show that the pianistic touch clearly influences the spectrum of the piano sound of equally loud isolated notes. These differences do not come from a possible shock excitation on the structure, nor from a changing impact point, nor a -longitudinal rubbing motion- on the string, since neither of these features are modeled in our study.

Keywords : flexible piano hammer shank piano model pianistic touch implicit time discretization vibrating Timoshenko beam energy preservation





Autor: Juliette Chabassier - Marc Duruflé -

Fuente: https://hal.archives-ouvertes.fr/



DESCARGAR PDF




Documentos relacionados