Jürgen Schöftner, Michael Krommer,
"Single point vibration control for a passive piezoelectric Bernoulli-Euler beam subjected to spatially varying harmonic loads"
, in Acta Mechanica, Vol. 223, Nummer 8, Seite(n) 1983-1998, 6-2012
Single point vibration control for a passive piezoelectric Bernoulli-Euler beam subjected to spatially varying harmonic loads
Sprache des Titels:
Passive vibration control of flexible structures can be achieved by bonding piezoelectric layers with
attached electric circuits onto an elastic substrate. In this work, a new concept, denoted as single point control
(SPC), is presented in order to cancel harmonic vibrations of slender beams. It is shown by an extended version
of the Bernoulli-Euler theory for passive smart beams that the deflection or the slope at a specified location
along the beam axis is nullified if the electric circuit is tuned and the shape of the piezoelastic layers are
properly shaped. The proposed method holds for harmonic loads only, but the spatial part of the distributed
external load may be unknown. A three-dimensional electromechanically coupled FE-analysis with ANSYS
confirms these results obtained by the one-dimensional theory. The practical relevance of the derived theory
becomes evident if optimal resistive-inductive shunts are used. The robustness of passively controlled systems
is strongly increased if the piezoelectric layers are shaped according to the presented SPC-theory instead of
using spatially uniformly distributed layers.