Abstract
In this paper, a piezolaminated stiffened shell element is formulated. This piezoelectric shellelement is a 9-noded, isoparametric, shear flexible and field-consistent element with fiveelastic degrees of freedom at each node and one electric degree of freedom per element perpiezoelectric layer. The stiffener element is a three-noded isoparametric beam element withthree degrees of freedom at each node. The effect of the stiffener is incorporated byinternally constraining the stiffener displacement fields to the relevant shell displacementfields and hence this formulation allows the positioning of the stiffener element anywherewithin the shell element along lines of natural coordinates, which gives a great flexibility inthe choice of the mesh size. This stiffened shell element is validated for staticdeflection and dynamic response with the results available in literature. The activecontrol performance of the stiffened composite plate and shell structures withdistributed piezoelectric sensors and actuators are studied using a number ofexamples. The active vibration control is carried out using the LQR optimal control.
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