Exact solutions for the static shape control of smart structures by piezoelectric actuation are derived. Skeletal structures that are assembled of beam- and truss-type members are considered. The desired deformation of the structural assemblage is exactly matched by means of piezoelectric actuators that are subjected to spatially non-uniform distributions of effective input voltages. The modeling of piezoelectric structures is based on eigenstrain analysis. Additionally, it is demonstrated how to actuate a structural system in order to enforce a desired deformation that is affine to a force-loaded structure with additional boundary constraints.
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