Abstract

Distributed control of elastic shell continua using spatially distributed piezoelectric actuators is proposed and a generic distributed velocity feedback algorithm with a spatial modal feedback function formulated. The generic distributed modal feedback function is further represented by a gain factor and a spatially distributed orthogonal (mode shape) function to achieve independent modal actuation capability. Based on this principle, distributed piezoelectric actuators can be spatially shaped to emulate the spatial orthogonal actuation of the distributed modal feedback function. Distributed orthogonal shaped modal actuators for ring shells are proposed and their modal actuations demonstrated. Analyses suggested that the primary control action came from the in-plane membrane (circumferential) forces and that contributed by the bending control moment is relatively insignificant for lower natural modes. Control effects due to thickness variation of the ring shell and the actuator are also investigated.

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