The Rotating String.
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Time domain simulation of a piano. Part 1: model description
J. Chabassier, A. Chaigne, P. Joly (2014)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
The purpose of this study is the time domain modeling of a piano. We aim at explaining the vibratory and acoustical behavior of the piano, by taking into account the main elements that contribute to sound production. The soundboard is modeled as a bidimensional thick, orthotropic, heterogeneous, frequency dependent damped plate, using Reissner Mindlin equations. The vibroacoustics equations allow the soundboard to radiate into the surrounding air, in which we wish to compute the complete acoustical...
Tracking control of a vibrating string with an interior mass viewed as delay system
H. Mounier, J. Rudolph, M. Fliess, P. Rouchon (1998)
ESAIM: Control, Optimisation and Calculus of Variations
Tracking control of a vibrating string with an interior mass viewed as delay system
H. Mounier, J. Rudolph, M. Fliess, P. Rouchon (2010)
ESAIM: Control, Optimisation and Calculus of Variations
A vibrating string, modelled by the wave equation, with an interior mass is considered. It is viewed as a linear delay system. A trajectory tracking problem is solved using a new type of controllability.
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