Size-dependent nonlinear vibration analysis of nonlocal magneto-electro-elastic sandwich nanobeam based on Reddy’s third-order shear deformation theory

The article delves into the intricate analysis of size-dependent nonlinear vibration behaviors of nonlocal magneto-electro-elastic (MEE) sandwich nanobeams. Utilizing Reddy’s third-order shear deformation theory, the study explores the impact of various parameters such as nonlocal effects, foundation types, and external electric and magnetic potentials on the vibration characteristics of these nanobeams. The research employs the Hamilton variational principle and von Karman’s geometrically nonlinear theory to derive the nonlinear governing equations. Numerical results and discussions highlight the significant influence of these parameters on the vibration behavior, offering valuable insights for the design and application of MEE nanobeams in various fields, including aerospace, electronics, and mechanical engineering.