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Table 1 FEM computed and experimentally identified modal parameters

From: Physical modelling techniques for the dynamical characterization and sound synthesis of historical bells

Modal pair FEM computations Experimental modal identification Rel. Diff
ERA
vs
FEM
(%)
Mode shapes Frequency
(Hz)
Ratio
(fn/f2)
Frequency
(Hz)
Ratio
(fn/f2)
Damp
(%)
General
xy view
zx view
1st family 2nd family
1
(Hum)
1487.6 0.5133 1487.6 0.5139 0.02 0
1489.0 0.5137 1490.8 0.5150 0.02 0.12
2
(Prime)
2895.2 0.9989 2891.8 0.9989 0.03 0.12
2901.6 1.0011 2898.1 1.0011 0.02 0.12
3
(Tierce)
3597.6 1.2413 3593.8 1.2414 0.04 0.11
3599.1 1.2418 3594.0 1.2432 0.04 0.14
4
(Quint)
4831.1 1.6668 4854.4 1.6688 0.02 0.48
4841.4 1.6704 4855.9 1.6774 0.03 0.30
5
(Nominal)
6057.6 2.0900 6048.2 2.0925 0.03 0.16
6060.4 2.0909 6060.8 2.0934 0.03 0.01