Fig. 5. Coupling of stiffness and damping in the body and notochord of hagfish
during dynamic bending. (A) As flexural damping C increases, flexural
stiffness EI decreases. Parameterized within the power curves (see
Table 6) is driving frequency
. (B) The maximal bending moments produced by stiffness and damping are
directly and linearly proportional (see
Table 6 for equations). (C)
Experimentally derived values for the ratio of stiffness moments to damping
moments change minimally, compared to theoretical ratios assuming constant
EI and C (dotted lines), as
changes (see
Table 6). If
is equal
to the resonance frequency, the ratio is a special case of Equation 1, and
estimates the maximum possible amplification of internal stresses. Filled
squares, the `intact' structural treatment category; open squares, the `skin
removed' category; open circles, the `notochord' category; filled circles, the
`core' category.