Vibration analysis of sandwich composite micro-plate under electro-magneto-mechanical loadings

In this research, free vibration of sandwich composite micro-plate (SCMP) made of five smart layers is studied. The core of sandwich is a piezomagnetic micro-plate integrated with two layers of piezoelectric materials. Also the composite layers are placed the top and bottom of structure as the face sheets. The sandwich micro-plate is subjected to electric and magnetic fields besides the compression and extension in-plane forces in both longitudinal and transverse directions. The structure rests on the elastic medium and Pasternak foundation is used for its modeling, including normal and shear modules. First order shear deformation theory is utilized in order to derive the seven coupled equations of motion using Hamilton's principle. These equations are solved by differential quadrature method (DQM). A detailed numerical study is carried out based on Piezoelectricity and modified couple stress theories to indicate the significant effect of length scale parameter, shear correction factor, aspect and thickness ratios, different fiber angles, boundary conditions and electro-magneto-mechanical (EMM) loadings on dimensionless frequency of sandwich composite plate. These finding can be used to automotive, aerospace and building industries.