Nonlinear Forced Vibration of Annular Plate Made of Shape Memory Alloy

In this study, the forced vibrations of an annular circular plate with clamped edges under harmonic load is investigated. Analysis of circular plate is based on First-order Shear Deformation Theory (FSDT). The pseudoelastic behavior is simulated by Boyd-Lagoudas constitutive model. The Hamilton’s principle is used to obtain the equations of motion.In the state without phase change (pure austenite) the plate was examined in nonlinear conditions and compared with the existing reference.Differential Quadrature, Newmark methods, and convex cutting plane mapping algorithm are utilized to get the time and frequency responses of the plate. The phase transformation effects are studied on the time and frequency responses of the plate. Also, the harmonic load and the harmonic load, with a constant value are investigated. Then, the accuracy of these results is checked with the available literature and FEM software ABAQUS. The results indicate that the alloy phase transformation leads to reduced material strength and the nonlinear behavior of the alloy.