Displacement compensation of beam vibrations caused by rigid-body motions

The active suppression of plane flexural vibration of a slender, cantilever linear elastic beam, was studied. The vibrations of the beam are considered to be due to a prescribed large rigid-body motion of the beam support. It was considered that the vibrations take place at a large strain regime. The beam is considered to be additionally equipped with distributed piezoelectric actuators, which are perfectly bonded to the beam. The Bernouli-Euler-von Karman theory of a slender cantilever beam and the stress-stiffening effect was considered for the analysis of shape control of the beam.