The author has developed a methodology for the dynamic analysis of composite and isotropic plates supported by functionally graded shape memory alloy wires embedded in sleeves. the solution of the equations of motion is obtained for shear deformable plates using the first order shear deformation theory and for thin plates by the classical plate theory. Two designs of functionally graded shape memory alloy reinforcements are considered, including wires in sleeves that are continuously bonded to the surface of the plate and wires attached to the plate at selected points. Numerical computations confirm that strategically placed shape memory alloy wires supporting composite and isotropic plates can serve as an effective tool for the reduction of amplitudes of forced vibrations. the wires do not reduce the amplitude of motion for an arbitrary value of the driving frequency. Instead, they effectively shift the resonance frequencies of the plate to larger values. Thus, they should be used selectively, only in applications where the spectrum of driving frequencies is known in advance.