ACTIVE CONTROL OF DYNAMIC RESPONSE OF LARGE DEFLECTION PLATES WITH PIEZOELECTRIC ACTUATORS USING FINITE ELEMENT METHOD

The transient behavior of isotropic and homogeneous plates has been a subject of interest. The present investigation is concerned with the large deflection transient analysis and control of plates with piezoelectric sensors and actuators under applied transverse loads. In this paper, the incremental finite element equations considering the geometric nonlinearity of piezoelectric smart structures are developed based on Total Lagrange approach by using the virtual velocity incremental variational principles. A four-node Mindlin plate element with reduced and selective integration is adopted. The resulting increment equations are solved by using Newmark's direct integration approach. Transient response of plates with piezoelectric sensors and actuators subjected to transverse dynamic loading is investigated. The active damping is introduced on the plates by coupling a negative velocity feedback algorithm in a closed control loop. The numerical results show that piezoelectric actuators can produce significant damping and suppress transient vibration effectively. Finally, the effects of the number and locations of the piezoelectric actuators on the control system are also investigated.

ACTIVE CONTROL OF DYNAMIC RESPONSE OF LARGE DEFLECTION PLATES WITH PIEZOELECTRIC ACTUATORS USING FINITE ELEMENT METHOD

The transientbehaviorofisotropic and hom ogeneousplateshasbeen a subjectofinterest. Thepresentinvestigation isconcerned w ith the largedeflection transientanalysisand controlofplates w ith piezoelectricsensorsand actuatorsunderapplied transverse loads. In this paper, the increm ental finite elem entequationsconsidering thegeom etricnonlinearity ofpiezoelectricsm artstructuresarede- veloped based on TotalLagrange approach by using the virtualvelocity increm entalvariationalprinci- ples. A four-node Mindlin plate elem ent w ith reduced and selective integration is adopted. The re- sulting increm entequationsare solved by using New m ark'sdirectintegration approach. Transientre- sponse ofplatesw ith piezoelectricsensorsand actuators subjected to transverse dynam ic loading isin- vestigated. The active dam ping isintroduced on the platesby coupling a negativevelocity feedback al- gorithm in a closed controlloop. The num ericalresults show thatpiezoelectric actuators can produce significant dam ping and suppress transient vibration effectively. Finally, the effects of the num ber and locations ofthe piezoelectric actuatorson the controlsystem are also investigated.