Orthotropic patterns of Pasternak foundation in smart vibration analysis of magnetostrictive nanoplate

Abstract

In this research, free vibration of rectangular nanoplate made of magnetostrictive materials is studied while it is focused on elastic medium as an efficient stability factor. For this purpose, Pasternak foundation is developed by considering orthotropy angle where the effect of Pasternak shear modulus is investigated in different directions. Since the nanoplate is subjected to the coil, a feedback control system follows the effects of uniform magnetic field on vibration characteristics of magnetostrictive nanoplate. So, Reddy’s third-order shear deformation theory along with Eringen’s nonlocal continuum model are utilized in order to derive motion equations at nanoscale using Hamilton’s principle. Five coupled motion equations solved by differential quadrature method in two-dimensional space by considering different boundary conditions. Results indicate that with appropriative selection for orthotropy angle, normal, and shear Pasternak foundation modulus, it is possible to achieve optimal and desire values to more stability of magnetostrictive nanoplate. These findings can be used in automotive industry, communications equipment in nano- and microstructures.