Size-dependent static bending, free vibration and buckling analysis of curved flexomagnetic nanobeams

Based on Hamilton’s variational principle, strain gradient theory and Timoshenko curved nanobeam model, governing equations and corresponding boundary conditions are derived. Governing differential equations are transformed into algebraic equations by employing Navier method, thus an analytical solution for size-dependent static bending, free vibration and buckling analysis of curved flexomagnetic nanobeam is established. Influences of opening angle, aspect ratio and scale parameter on bending deformation, free vibration and stability are discussed in detail. Compared and validated with available investigations, a good agreement is found.