Determination of the Elastic Constant of the Top Plate of a Cello in the Interaction with the Bridge

• Autorzy: Paupy Pablo , Tabla Pablo , Huggenberger Dario , Elfi Federico , Morel Eneas N. , Torga Jorge R.

Identyfikatory

DOI

10.24425/aoa.2025.153658

• Języki publikacji: EN

Abstrakty

EN

This paper aims to determine the equivalent static elastic constant of a cello’s top plate in the interaction with the bridge. Experimental results detailing this constant are presented based on measuring the deformation and forces caused by a system of calibrated springs in similar conditions to that obtained when these forces are produced by the action of the strings. Subsequent tests are conducted following an intervention by a luthier to adjust the sound post, with the aim of assessing the impact on the elastic constants.

Słowa kluczowe

EN

elasticity; organology; cello bridge; musical acoustics; boundary conditions; interferometry

• Wydawca: Instytut Podstawowych Problemów Techniki PAN ; Polska Akademia Nauk
• Czasopismo: Archives of Acoustics
• Rocznik: 2025
• Tom: Vol. 50, nr 2
• Strony: 235--242
• Opis fizyczny: Bibliogr. 14 poz., fot., rys., tab.

Twórcy

autor

Paupy Pablo

• Grupo de Vibraciones, Facultad Regional Delta, Universidad Tecnológica Nacional Campana, Buenos Aires, Argentina

autor

Tabla Pablo

• Grupo de Fotónica Aplicada, Facultad Regional Delta, Universidad Tecnológica Nacional Campana, Buenos Aires, Argentina

autor

Huggenberger Dario

• Grupo de Vibraciones, Facultad Regional Delta, Universidad Tecnológica Nacional Campana, Buenos Aires, Argentina

autor

Elfi Federico

• Grupo de Vibraciones, Facultad Regional Delta, Universidad Tecnológica Nacional Campana, Buenos Aires, Argentina

autor

Morel Eneas N.

• Grupo de Fotónica Aplicada, Facultad Regional Delta, Universidad Tecnológica Nacional Campana, Buenos Aires, Argentina
• Nacional de Investigaciones Cientíıficas y Técnicas, Argentina

autor

Torga Jorge R.

• Grupo de Fotónica Aplicada, Facultad Regional Delta, Universidad Tecnológica Nacional Campana, Buenos Aires, Argentina
• Nacional de Investigaciones Cientíıficas y Técnicas, Argentina

Bibliografia

• 1. Bissinger G. (2006), The violin bridge as filter, The Journal of the Acoustical Society of America, 120(1): 482-491, https://doi.org/10.1121/1.2207576.
• 2. Boutillon X., Weinreich G. (1999), Three-dimensional mechanical admittance: Theory and new measurement method applied to the violin bridge, The Journal of the Acoustical Society of America, 105(6): 3524-3533, https://doi.org/10.1121/1.424677.
• 3. Cremer L. (1984), The Physics of the Violin, The MIT Press, England.
• 4. Elie B., Gautier F., David B. (2013), Analysis of bridge mobility of violins, [in:] Proceedings of the Stockholm Music Acoustics Conference 2013, pp. 54-59, https://hal.science/hal-01060528. (access: 3.06.2024).
• 5. Jansson E., Molin N., Saldner H. (1994), On eigenmodes of the violin – Electronic holography and admittance measurements, The Journal of the Acoustical Society of America, 95(2): 1100-1105, https://doi.org/10.1121/1.408470.
• 6. Jansson E.V. (2004), Violin frequency response – Bridge mobility and bridge feet distance, Applied Acoustics, 65(12): 1197-1205, https://doi.org/10.1016/j.apacoust.2004.04.007.
• 7. Kabała A., Niewczyk B., Gapiński B. (2018), Violin bridge vibration – FEM, Vibrations in Physical Systems, 29: 2018021, https://vibsys.put.poznan.pl/_journal/2018-29/articles/vibsys_2018021.pdf. (access: 3.06.2024).
• 8. Lodetti L., Gonzalez S., Antonacci F., Sarti A. (2023), Stiffening cello bridges with design, Applied Sciences, 13(2): 928, https://doi.org/10.3390/app13020928.
• 9. Malvermi R. et al. (2021), Feature-based representation for violin bridge admittances, arXiv, https://doi.org/10.48550/arXiv.2103.14895.
• 10. Minnaert M., Vlam C.C. (1937), The vibrations of the violin bridge, Physica, 4(5): 361-372, https://doi.org/10.1016/S0031-8914(37)80138-X.
• 11. Reinicke W., Cremer L. (1970), Application of holographic interferometry to vibrations of the bodies of string instruments, The Journal of the Acoustical Society of America, 47(4B): 131-132, https://doi.org/10.1121/1.1912237.
• 12. Vakhtin A.B., Kane D.J., Wood W.R., Peterson K.A. (2003), Common-path interferometer for frequency-domain optical coherence tomography, Applied Optics, 42(34): 6953-6958, https://doi.org/10.1364/AO.42.006953.
• 13. Woodhouse J. (2005), On the “bridge hill” of the violin, Acta Acustica united with Acustica, 91(1): 155-165.
• 14. Woodhouse J. (2014), The acoustics of the violin: A review, Reports on Progress in Physics, 77(11): 115901, https://doi.org/10.1088/0034-4885/77/11/115901.

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).