25 Model-Based Decision Support Methods Applied to the Conservation of Musical Instruments: Application to an Antique Cello 227 25.4 Conclusion The numerical models created have highlighted two main facts. Firstly, the geometry accuracy is a key for the predictive capability of a cello, and geometrical properties like arch shape and height are essential for the accuracy of the model. Nowadays, such geometrical features are evaluated effectively with photogrammetry and CT scans means. Secondly, the effects of repairs like cleats and defaults like insect galleries can modeled with such models. The effects of these elements are important on the dynamical behavior of the cello, and this can be considered as an effective tool for more refined and dedicated studies, like the design of repairs cleats that would affect as lower as possible the behavior of the musical instruments, when such repairs are inevitable for the structural integrity of the instrument. In conclusion, this study shows that the numerical models can simulate the effect of restorers and instrument maker’s decisions on the dynamical behavior, which can be a starting point for a decision support tool in both static and dynamical domains. The perspective proposed is to evaluate the impact of geometric and material uncertainties on the static response of the cello, when undergoing prestresses due to assembly and strings. References 1. Knott, G.A.: A Modal Analysis of the Violin Using MSC/NASTRAN and PATRAN. Naval Postgraduate School, Monterey, CA (1987) 2. Pyrkosz, M.A.: Reverse engineering the structural and acoustic behavior of a Stradivari violin. Dissertation, Michigan Technological University (2013) 3. Gough, C.: Vibrational Modes of the Violin Family. In: SMAC 13 Stockholm, 66–74 (2013) 4. Viala, R., Placet, V., Cogan, S., Foltête, E.: Model-based effects screening of stringed instruments. In: Conference Proceedings of the Society for Experimental Mechanics Series, vol. 3, pp. 151–157 (2016) 5. Viala, R.: Towards a model-based decision support tool for stringed musical instrument making. Dissertation, Université Bourgogne Franchecomté (2018) 6. Van den Bulcke, J., Van Loo, D., Dierick, M., Masschaele, B., Van Hoorebeke, L., Van Acker, J.: Nondestructive research on wooden musical instruments: from macro- to microscale imaging with lab-based X-ray CT systems. J. Cult. Herit. 27, S78–S87 (2015) 7. Sirr, S., Waddle, J.: X-ray CT measurements of the internal corpus volume and a new soundpost – corpus volume relationship for stringed instruments of the violin family. J. Violin Soc. Am. XXII(1), 1–12 (2009) 8. Le conte, S., Vaiedelich, S., François, M.L.M.: A wood viscoelasticity measurement technique and applications to musical instruments: first results. J. Violin Soc. Am. 21, 1–7 (2007) 9. Le Conte, S., Vaiedelich, S., Thomas, J.H., Muliava, V., De Reyer, D., Maurin, E.: Acoustic emission to detect xylophagous insects in wooden musical instrument. J. Cult. Herit. 16(3), 338–343 (2015). Elsevier Masson SAS 10. Fouilhé, E., Houssay, A.: String “After-Length” and the Cello Tailpiece: Acoustics and Perception. In: SMAC 13, April 2014, 0–5 (2013) 11. Fouilhé, E., Goli, G., Houssay, A., Stoppani, G.: Vibration modes of the cello tailpiece. Arch. Acoust. 36(4), 713–726 (2011) 12. Firth, I.A.N.M., Buchanan, J.M.: The wolf in the cello. J. Acoust. Soc. Am. 53, 457–463 (1971) 13. Wake, H.S.: A ‘Strad’ Mode. Wake Publishing, Glastonbury (1975) 14. Viala, R., Placet, V., Cogan, S.: Identification of the anisotropic elastic and damping properties of complex shape composite parts using an inverse method based on finite element model updating and 3D velocity fields measurements (FEMU-3DVF): application to bio-based composite violin soundboard. Compos. A: Appl. Sci. Manuf. 106, 91–103 (2018) 15. Guitard, D., El Amri, F.: Modèles prévisionnels de comportement élastique tridimensionnel pour les bois feuillus et les bois résineux. Ann. Sci. For. 44(3), 335–358 (1987) 16. Allemang, R.J., Brown, D.L.: A correlation coefficient for modal vector analysis. In: First International Modal Analysis Conference, pp. 110–116 (1982) 17. Zhang, A., Woodhouse, J., Stoppani, G.: Motion of the cello bridge. J. Acoust. Soc. Am. 140(4), 2636–2645 (2016) 18. Zhang, A., Woodhouse, J.: Reliability of the input admittance of bowed-string instruments measured by the hammer method. J. Acoust. Soc. Am. 136(6), 3371–3381 (2014) 19. Askenfelt, A.: Quarterly progress and status report eigenmodes and tone quality of the double bass. STL-QSPR. 23, 149–174 (1982)
RkJQdWJsaXNoZXIy MTMzNzEzMQ==