Towards a finite element model of a batch of experimental violins: validation on sub-structural components

Topical Issue - Musical Acoustics: Latest Advances in Analytical, Numerical and Experimental Methods Tackling Complex Phenomena in Musical Instruments

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Table 5

Elastic parameters (in MPa) obtained by FEMU optimisation for the four constants E_L, E_R, G_LR and G_RT for the six backs. Reference range from [20] with a lower value for $E_{L}^{'}$ ${E}_L^\mathrm{\prime}$ lower bound to include with some margin both the values measured by the Bilbao team and those estimated with Viala’s laws.

Back	E _L	E _R	G _LR	G _RT
	[MPa]	[MPa]	[MPa]	[MPa]
A	9028	1679	1178	370
B	10954	1616	1228	386
C	10895	1576	1212	354
D	10192	1491	1179	362
E	10585	1466	1121	354
F	10279	1424	1215	449
Mean	10322	1542	1188	379
Standard deviation	644	89	35	33
Coefficients of variations	6.2%	5.7%	2.9%	8.7%
Reference range	9000–18200	1380–2310	720–1600	280–470

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