Investigation of Forced Vibrations and Phase Change of an Annular Sector Plate Made of Shape Memory Alloy in the Superelastic State
DOI:
https://doi.org/10.13052/ejcm2642-2085.3462Keywords:
Dynamic response, annular sector plate, shape memory alloy, pseudoelastic, differential quadrature methodAbstract
The present work examines free and forced vibrations of shape-memory alloy (SMA) annular sector plates. The first-order shear deformation theory is utilized to analyze the plate. The Boyd-Lagoudas constitutive model is used to simulate pseudoelastic behavior. Hamilton’s principle is employed to obtain motion equations. The sector plate time response and sector plate frequency response are derived via the return mapping algorithm, Newmark method, and differential quadrature method (DQM). In addition, the numerical results of the force vibrations and the effects of the different geometrical parameters on the dynamic response of the plate are investigated. Finally, the findings of this study are verified using the finite element method (ABAQUS software) and the findings of other studies.
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