
312 Biomaterials for Bone Regeneration
Table 9.3 Figures for the calculation of eigenfrequencies of various types of
specimens
Longitudinal vibration (free prismatic bar d/L < 0.2) d :max cross-sectional dim. L :
length
Mode
(number of nodes)
Modal
number α
n
Wavenumber
k
n
(m
−1
)
Angular frequency (s
-−1
)
n pair n
π n/L ω
n
= k
n
c
o
Longitudinal vibration (centre-pinned prismatic bar d/L < 0.2) d :max cross-sectional
dim. L : length
Mode
(number of nodes)
Modal
number
α
n
Wavenumber
k
n
(m
−1
)
Angular frequency (s
−1
)
n unpair N
π n/L ω
n
=