G. W. Koornhof and A. J. Van-der-walt, The influence of touch on piano sound, Proceedings of the Stockholm Music Acoustics Conference (SMAC'93), pp.302-308, 1994.

W. Goebl, R. Bresin, and A. Galembo, Once again: The perception of piano touch and tone. Can touch audibly change piano sound independently of intensity ?, Proceedings of the International Symposium on Musical Acoustics, pp.1-4, 2004.

A. Askenfelt and E. V. Jansson, From touch to string vibrations. II: The motion of the key and hammer, The Journal of the Acoustical Society of America, vol.90, issue.5, pp.2383-2393, 1991.
DOI : 10.1121/1.402043

N. Giordano and J. P. , Piano hammers and their force compression characteristics: Does a power law make sense?, The Journal of the Acoustical Society of America, vol.107, issue.4, pp.2248-2255, 2000.
DOI : 10.1121/1.428505

S. Birkett, Experimental investigation of the piano hammer-string interaction, The Journal of the Acoustical Society of America, vol.133, issue.4, pp.2467-2478, 2013.
DOI : 10.1121/1.4792357

A. Izadbakhsh, J. Mcphee, and S. Birkett, Dynamic Modeling and Experimental Testing of a Piano Action Mechanism With a Flexible Hammer Shank, J. Comput. Nonlinear Dynam, vol.3, pp.1-10, 2008.

C. P. Vyasarayani, S. Birkett, and J. Mcphee, Modeling the dynamics of a compliant piano action mechanism impacting an elastic stiff string, The Journal of the Acoustical Society of America, vol.125, issue.6, pp.4034-4042, 2009.
DOI : 10.1121/1.3125343

J. Chabassier, A. Chaigne, and P. Joly, Modeling and simulation of a grand piano, The Journal of the Acoustical Society of America, vol.134, issue.1, pp.648-665, 2013.
DOI : 10.1121/1.4809649

URL : https://hal.archives-ouvertes.fr/hal-00768234

S. Timoshenko and S. Woinowsky-krieger, Theory of plates and shells, Second Edition, 1959.

R. Dautray, . Lions, . Bardos, . Cessenat, . Lascaux et al., Mathematical analysis and numerical methods for science and technology, 2000.

S. C. Lin and K. M. Hsiao, VIBRATION ANALYSIS OF A ROTATING TIMOSHENKO BEAM, Journal of Sound and Vibration, vol.240, issue.2, pp.303-322, 2001.
DOI : 10.1006/jsvi.2000.3234

D. Chapelle, AN OPTIMAL LOW-ORDER LOCKING-FREE FINITE ELEMENT METHOD FOR REISSNER???MINDLIN PLATES, Mathematical Models and Methods in Applied Sciences, vol.08, issue.03, pp.407-430, 1998.
DOI : 10.1142/S0218202598000172

URL : https://hal.archives-ouvertes.fr/hal-00839734

A. Lew, J. E. Marsden, M. Ortiz, and M. West, Variational time integrators, International Journal for Numerical Methods in Engineering, vol.60, issue.1, pp.153-212, 2004.
DOI : 10.1002/nme.958

J. Chabassier and S. Imperiale, Stability and dispersion analysis of improved time discretization for simply supported prestressed Timoshenko systems. Application to the stiff piano string, Wave Motion, vol.50, issue.3, pp.456-480, 2013.
DOI : 10.1016/j.wavemoti.2012.11.002

URL : https://hal.archives-ouvertes.fr/hal-00738233

H. Fletcher and E. Blackham, Quality of Piano Tones, The Journal of the Acoustical Society of America, vol.34, issue.6, pp.749-761, 1962.
DOI : 10.1121/1.1918192

G. Cohen and P. Grob, Mixed Higher Order Spectral Finite Elements for Reissner???Mindlin Equations, SIAM Journal on Scientific Computing, vol.29, issue.3, pp.986-1005, 2007.
DOI : 10.1137/050642332

URL : https://hal.archives-ouvertes.fr/hal-00976782

J. Chabassier and M. Duruflé, Physical parameters for piano modeling, Inria technical report, RT-425, pp.1-24, 2012.

J. Chabassier, A. Chaigne, and P. Joly, Energy preserving schemes for nonlinear Hamiltonian systems of wave equations: Application to the vibrating piano string, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.45-48, pp.2779-2795, 2010.
DOI : 10.1016/j.cma.2010.04.013

URL : https://hal.archives-ouvertes.fr/inria-00534473

A. A. Reblitz, L. P. Entretien, &. Accord, and L. Restauration, Grand piano action. (a) Photography of an isolated Renner grand piano action, from kungfubrothers .com. (b) Sketch of the different parts of the grand piano action, from andersthorin.com. When the player hits the key, the jack pushes the hammer shank near its fixation point and forces it into a rotating motion, 2005.