This study investigates the dynamic response of an annular circular plate with clamped edges under harmonic load. The circular plate is analyzed based on the first-order shear deformation theory (FSDT). The Boyd-Lagoudas constitutive model is used to simulate the pseudoelastic behavior, and Hamilton’s principle is used to obtain the equations of motion. Also, differential quadrature and Newmark methods are utilized to obtain the time and frequency responses of the plate. The phase transformation effects are studied on the time and frequency responses of the plate. Then, the accuracy of these results is checked with the available literature and ABAQUS software. Results indicate that the alloy phase transformation leads to reduced material strength and the nonlinear behavior of the alloy.
The present study aims to evaluate the nonlinear vibration of an annular circular plate in contact with the fluid. Analysis of plate is based on first-order Shear Deformation Theory (FSDT) by considering of rotational inertial effects and transverse shear stresses. The governing equation of the oscillatory behavior of the fluid is determined by solving the Laplace equation and satisfying its boundary conditions. The nonlinear differential equations are solved based on the differential quadrature method and obtaining nonlinear natural frequency. In addition, the numerical results are presented for a sample plate, and the effect of some parameters such as aspect ratio, boundary conditions, fluid density, and fluid height are investigated. Finally, the results are compared with those of similar studies in the literature.
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