Biomedical Engineering Reference
In-Depth Information
x
v
FIGURE 7.30
Moment induced by electric field.
FIGURE 7.31
Hypothetical moment simplification.
1.
Data describing the step responses of a representative number of different
length and width beams must be collected and archived.
2.
The frequency and damping coefficient parameters that would produce
similar step responses for each of the beams must be selected.
3.
The simple functions that relate the model's parameters of all the various
beams (dependent only upon the dimension of each beam) must be
derived.
7.4.4.3
Validation
Finally, and most importantly, the performance of the upgraded first-order model
must be validated against actual beam performance. Dynamic responses of a number
of beams must be run; conditions must be input into the model to drive equivalent
simulation runs. The data collected and archived during the muscle and simulation
tests must then be compared toward a goal of modifying model parameters or
algorithms until the simulation runs match the beam responses throughout the pop-
ulation of potential beam dimensions and forcing functions.
7.4.5
S
UMMARY
An effort to model the dynamic motion of an IPMNC elastic beam was undertaken.
Development of the static portion of the model was begun by assuming the beam
behaves in accordance with the nonlinear equation used to describe large-angle
deflection of elastic cantilever beams.
A Simulink simulation was developed to estimate the final deflection of a beam
due to a constant moment. The dynamic portion of the model was developed by
assuming that each segment of the beam could be represented as a simple second-order
