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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.
The transient behavior of isotropic and hom ogeneousplateshasbeen a subjectofinterest. Thepresentinvestigation isconcerned with the largedeflection transientanalysisand controlofplates with piezoelectricsensorsand actuatorsunderappliedWayloads. In this paper, the increm ental finite elem entequationsconsidering the geom etricnonlinearity ofpiezoelectricsm artstructuresarede- veloped based on TotalLagrange approach by using the virtualvelocity increm entalvariationalprinci- ples. A four-node Mindlin plate elem ent with reduced and selective integration is adopted. The re- sulting increm entequationsare solved by using New m ark’sdirectintegration approach. Transientre- sponse ofplatesw ith piezoelectricsensorsandactuations- The active dam ping is introduced on the plates by coupling a negative velocity feedback al- gorithm in a closed controlloop. The num erical results show that piezoelectric actuators can produce s ignificant dam ping and suppress transient vibration effectively. Finally, the effects of the num ber and locations of the piezoelectric actuatorson the controlsystem are also investigated.