Mechanics of the Human Fingerpad
Dianne T.V. Pawluk, R. D. Howe
We investigated the dynamic response of the human fingerpad in vivo
to a compressive load. A flat probe indented the fingerpad at a constant
velocity, then held a constant position. The resulting force (0 - 2 N)
increased rapidly with indentation, then relaxed during the hold phase.
A quasi-linear viscoelastic model (Fung 1993) successfully explained the
experimental data. The instantaneous elastic response increased exponentially
with position, and the reduced relaxation function included three decaying
exponentials (with time constants of approximately 4 msec, 70 msec and
4 sec) plus a constant. The model was confirmed with data from sinusoidal
displacement trajectories.
To find the dynamic pressure distribution across the fingerpad, a tactile
array sensor was mounted on the probe, and the finger was indented with
the same ramp-and-hold and sinusoidal displacement trajectories. The local
pressure variation exhibited nonlinear stiffness (exponential with displacement)
and significant temporal relaxation, as with the total force. The shape
of the contact pressure distribution could plausibly be described by an
inverted paraboloid. A model based on the contact of a rigid plane (the
probe) and a linear viscoelastic sphere (the fingerpad), modified to include
a nonlinear modulus of elasticity, can account for the principal features
of the distributed pressure response.
Indentor apparatus
Tactile array sensor construction
Total force-indentation relationship is exponential,
and becomes approximately constant for ramp speed above about 48mm/s.
Total force relaxes during constant-position
phase. Peaks at about 1Hz are due to blood pressure variation.
Pressure contours at four force levels during
rapid indentation.
Pressure data fit to mechanics model based
on Hertz pressure distribution.
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