ABSTRACT
The effect of a material’s magnetostrictive property on the wave propagation behaviors of smart magnetostrictive nanostructures will be investigated in this chapter using the concept of the well-known Hamilton’s principle. The material properties of the selected material are not dependent on the coordinate system, and the material is a completely homogeneous one which possesses magnetostrictive properties. The equations of motion for both classical and higher-order beams and plates will be derived in association with the nonlocal strain gradient elasticity for magnetostrictive materials. It is noteworthy that a feedback control system is implemented in this chapter for the purpose of controlling the dynamic responses of the system. As in other chapters, here, the eigenvalue equation of the problem will be solved analytically using an exponential function.
