A coupled piezoelectric field is modelled with an expansion strain in the numerical
formulation to analyse piezohygrothermoelastic laminated plates and shells. Finite element
actuator and sensor equations are derived using a nine-noded field consistent shallow shell
element. Thermally induced vibration control is attempted using piezoelectrically
developed active damping. The influence of piezoelectric anisotropy on active damping is
evaluated, adopting a simple modelling technique. With 40% reduced actuation capability
in the lateral direction, the directionally active lamina is observed to be equally efficient in
controlling the vibration. In general, the directionally active lamina is efficient if
the primary actuation direction is oriented along the fibre direction or in the
direction of bending. The directional actuation appeared to be more effective in
the velocity feedback control for cantilevered plates and shells. However, in the
simply supported case, a balanced actuation effort is required to provide better
controllability, which can be achieved by tailoring the directional actuation. The
importance of geometric curvature for the actuator performance is also highlighted.
The use of surface bonded and embedded piezoelectric composite actuators is examined through a numerical study. Modelling schemes are therefore developed by applying the isoparametric finite element approach to idealise extension-bending and shear-bending couplings due to piezoelectric actuations. A modal control based linear quadratic regulator is employed to perform the active vibration control studies. Influence of shear actuation direction and its width has been examined and interesting deflection patterns are noticed. The through width SAFC develops a constant deflection beyond its length along the laminated plate length. In contrast, segmented SAFC produces a moderate to linearly varying deflection pattern. MFC actuators have shown promising features in vibration control performances. Nevertheless, closed loop damping presents the efficiency of SAFC in the vibration control application. It is therefore envisaged that optimally actuated smart laminates can be designed using MFC and SAFC to efficiently counteract the disturbance forces.
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