Differences in violin sounds caused by changes on arching profiles


  • Jesús Alejandro Torres Laboratorio de Acústica, Escuela de Laudería INBA




violin, Stradivari, finite element, ansys, signature modes


An experimentally calibrated numerical model was employed to examine the vibroacoustic impact of the arching profile in a violin soundbox, a study unattainable through experimental means alone. The finite element method successfully modeled the soundbox using the material properties of an actual violin, albeit with a simplified representation of the coupling with the air in the cavity and the forces from the strings. Achieving agreement with the real counterpart necessitated careful adjustment of the modal damping in the simulation. Damped models of violins are infrequently encountered. The impulse response of the soundbox model was obtained through the calculation of thousands of substeps induced by forced vibration. To streamline the time-domain analysis, the superimposed method was implemented instead of the more commonly used full option, resulting in a significant reduction in computational time. Additionally, synthetic musical notes, accounting for how the force of the strings is transmitted through the bridge, were employed as input to the soundbox model. Subsequently, the impulse responses were convolved with the synthetic notes to generate sounds. Through these procedures, the violin’s performance was assessed as the height of the arching profile of the plates was adjusted. The results demonstrated that higher arching profiles led to a general increase in the resonant frequencies of the violin, perceptible in the sound generated by the model.


J. A. Torres and R. R. Boullosa. Influence of the bridge on the vibrations of the top plate of a classical guitar. Applied Acoustics, 70 (2009) 1371

G. Orelli P. et al. Collisions in double string plucked instruments: Physical modelling and sound synthesis of the viola caipira. Journal of Sound and Vibration, 443 (2019) 178

J. Woodhouse. The acoustics of a plucked harp string. Journal of Sound and Vibration (2022) 116669

E. B. Skrodzka, B. Linde, and A. Krupa. Effect of bass bar tension on modal parameters of a violin’s top plate. Archives of Acoustics, 39 (2014) 145

L. Fu, C. Fritz, and G. Scavone. Perception of violin soundpost tightness through playing and listening tests. The Journal of the Acoustical Society of America, 150 (2021) 540

M. D. Stanciu, F. Dinulică, V. Bucur, V. G. Gliga, S. M. Nastac, and M. Câmpean. Changing the vibrational behavior of the wooden thin arched plates-the maestro violins experimental study case. Thin-Walled Structures 174 (2022) 109042

R. Inta, J. Smith, and J. Wolfe. Measurement of the effect on violins of ageing and playing. Acoustics Australia, 33 (2005) 1

J. Woodhouse and P. M. Galluzzo. The bowed string as we know it today. ACTA Acustica united with Acustica, 90 (2004) 579

K. Guettler. Looking at starting transients and tone coloring of the bowed string. Proceedings of Frontiers of Research on Speech and Music (2004)

C. E. Gough. A violin shell model: Vibrational modes and acoustics. J. Acoust. Soc. Am., 137 (2015) 1210

J. A. Torres, C. A. Soto, and D. Torres-Torres. Exploring design variations of the titian stradivari violin using a finite element model. The Journal of the Acoustical Society of America, 148 (2020) 1496

C. Fritz, I. Cross, B. C. J. Moore, and J. Woodhouse. Perceptual tresholds for detecting modifications applied to the acoustical properties of a violin. The Journal of the Acoustical Society of America, 122 (2007) 3640

J. A. Torres and R. R. Boullosa. Radiation efficiency of a guitar top plate linked with edge or corner modes and intercell cancellation. The Journal of the Acoustical Society of America, 130 (2011) 546

S. Zygmuntowicz. The strad 3d project: Scientists, musicians, and violinmakers study three classic violins. The Journal of the Acoustical Society of America, 127 (2010) 1791

J.A. Torres and D. Torres-Torres. Cambios en la propagación de ondas en una tapa de guitarra debidos al abanico y el puente. Revista Internacional de Metodos Numéricos para Cálculo y Diseño en Ingeniería, 31 (2015) 228

J. A. Torres. Open source application for mobility measurements on violins. Computer Applications in Engineering Education, 26 (2018) 1111

K. J. Bathe. Finite element procedures. Klaus-Jurgen Bathe (2006)

J. A. Huber et al. A method for generating finite element models of wood boards from x-ray computed tomography scans. Computers & Structures, 260 (2022)

M. J. Silva and N. M. Maia. Modal analysis and testing. Kluwer Academic Publishers, Netherlands, 1st edition (1999)

D. Thompson. Stick-slip motion due to difference in static and dynamic friction. In Railway noise and vibration: mechanisms, modelling and means of control. Elsevier (2008)




How to Cite

J. A. Torres, “Differences in violin sounds caused by changes on arching profiles”, Rev. Mex. Fís., vol. 70, no. 3 May-Jun, pp. 031002 1–, May 2024.