Numerical study of free vibration of laminated curved beam with magnetostrictive patches

The present study analyzes the vibrations of a curved laminated beam with magnetostrictive layers and patches for vibration suppression. Hamilton's Principle is used to establish the equations of motion. An analytical solution examines a beam with simply-supported boundaries (H-H), while the finite element method (FEM) considers various boundary conditions (H-H, C-C, and C-F). The analytical solutions incorporate magnetostrictive layers as active controllers, while the FE formulation includes smart patches for wider application. The study also investigates the in-plane stress of a laminate composite layer. Finally, a parametric study demonstrates the accuracy and practicality of the derived formulations.