Integrated optimal design of vibration control system
for smart beams using genetic algorithms
Journal of Sound and Vibration, 282 (3-5):
1293--1307 (22 April 2005)Short Communication.DOI: doi:10.1016/j.jsv.2004.03.048
Аннотация
the parameters of vibration control system of smart
beams, including the placement and size of
piezoelectric sensors and actuators (S/As) bonded on
smart beams and the feedback control gains of the
control system, have been simultaneously optimised for
vibration suppression of beam structures. Since the
sizes of the S/As are selected from a prescribed patch
pool provided by the manufactures, the size design
variable is then discrete, but the locations and
feedback gains are continuous. Thus, the resulting
optimization problem has discrete-continuous design
variables which is difficult for the conventional
optimisation methods to solve. An integer-real-encoded
genetic algorithm has thus been developed to search for
the optimal placement and size of the piezoelectric
patches as well as the optimal feedback control gains.
The criterion based on the maximisation of energy
dissipation was adopted for the optimisation of the
control system. The optimal distributions of the
piezoelectric patches based on specific controlled
vibration modes have also been addressed. The results
showed that the control effect could be significantly
enhanced with appropriate distribution of piezoelectric
patches and selection of feedback control gains, and
meaningful observations have been obtained for
practical design.