Active and Passive Damping of Euler-Bernoulli Beams and Their Interactions

Active and passive damping of Euler-Bernoulli beams and their interactions are studied using the beam´s exact transfer function model. Viscous and Voigt damping are shown to map the open loop poles and zeros from the imaginary axis in the undamped case into a circle in the left half plane and into the negative real axis. While active P-D collocated control using sky-hooked actuators is known to stabilize the beam, it is shown that the Derivative action using proof-mass actuators can destabilize the beam.