Seven bovine tibias were investigated in this work in a free-free boundary-condition setup and were excited with an impact hammer. Modal frequencies were extracted using the frequency response function of acceleration data captured from four different accelerometers distributed evenly along the bone span. Statistically significant correlations were found between the excited modes and the ratio of the tibia’s perimeter at mid-span to its length. Consequently, linear regression models were fitted to the data resulting in simple equations that relate modal frequencies of a tibia to these basic geometrical features. For the free-free set-up used in this study and consistent for all the bones tested, it was found that mode 2 is approximately double that of mode 1.

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