Abstract
In this paper, several simplification methods are presented for shape control ofrepetitive structures such as symmetrical, rotational periodic, linear periodic,chain and axisymmetrical structures. Some special features in the differentialequations governing these repetitive structures are examined by considering the wholestructures. Based on the special properties of the governing equations, severalmethods are presented for simplifying their solution process. Finally, the static shapecontrol of a cantilever symmetrical plate with piezoelectric actuator patches isdemonstrated using the present simplification method. The result shows that presentmethods can effectively be used to find the optimal control voltage for shapecontrol.
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