The action of instant force causing shock/vibration
in elastic bodies leads to a particular augmented
response if their resonances are excited. In many problems,
the resonance response is proportional to the time rates
of change of applied force (“jerk”). Jerk
reduction is especially important in problems
where the actuator must move in short time with motionless
initial and final states. Our numerical code employs
an innovative algorithm that allows for significant
jerk reduction without slowing actuator action. Implementation
of our actuator control profile significantly improves
performance with jerk reduction (red curve in picture
below for residual vibration vs. traditional data in
Normalized jerk profile.
Corresponding control current
vs. a normalized time.