Third-order shear deformation theories of laminated composite shells are developed
using the strain–displacement relations of Donnell and Sanders theories. These
theories also account for geometric nonlinearity in the von Kármán sense. Analytical
(Navier) solutions for vibration suppression in cross-ply laminated composite
shells with surface mounted smart material layers are developed using the linear
versions of the two shell theories and for simply supported boundary conditions.
Numerical results are presented to bring out the parametric effects of shell types
(cylindrical, spherical, and doubly curved shells) and material properties on vibration
suppression. A simple negative velocity feedback control in a closed loop is used.
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