TY - GEN
T1 - Control of Nonlinear Parametrically Excited Beam Vibrations
AU - Schlacher, Kurt
AU - Irschik, Hans
AU - Kugi, Andreas
PY - 1995
Y1 - 1995
N2 - A staight composite beam under the action of a harmonic axial support motion is considered. Piezoelectric layers are used to control the parametrically excited vibrations. A nonlinear initial-boundary-value problem for the deflection is derived, which is approximated by a set of nonlinear ordinary differential equations. The controller design is based on the differential geometric approach by extending the method of input output linearization to the time variant case. Controllers with different zero dynamics are presented to show that the approximating system can be stabilized by a proper choice of the virtual output function.
AB - A staight composite beam under the action of a harmonic axial support motion is considered. Piezoelectric layers are used to control the parametrically excited vibrations. A nonlinear initial-boundary-value problem for the deflection is derived, which is approximated by a set of nonlinear ordinary differential equations. The controller design is based on the differential geometric approach by extending the method of input output linearization to the time variant case. Controllers with different zero dynamics are presented to show that the approximating system can be stabilized by a proper choice of the virtual output function.
UR - https://www.scopus.com/pages/publications/85103470353
U2 - 10.1115/DETC1995-0261
DO - 10.1115/DETC1995-0261
M3 - Conference proceedings
SN - 0-7918-1718-0
T3 - Proceedings of the ASME Design Engineering Technical Conference
SP - 211
EP - 217
BT - 15th Biennial Conference on Vibration and Noise Symposium on Time-Varying Systems and Structures Design Engineering Technical Conferences, DE-Vol. 84-1, Vol. 3-Part A, ASME 1995
ER -