Analyses on magnetoelastic initial post-buckling and sensitivity to imperfection for ferromagnetic beam-plates

Based on a generalized variational principle of magnetoelasticity for soft ferromagnetic plates, the magnetoelastic stability and post-buckling as well as sensitivity to imperfection are analytically investigated in the present paper to the ferromagnetic beam-plates with cantilevered, simply-supported, clamp-supported boundary conditions. The analyses are carried out by means of perturbation technique for the outer and inner fields of ferromagnetic beam-plate and classical Koiter theory. The results achieved show that the stability of cantilevered beam-plates is sensitive to initial imperfection but is not sensitive to initial imperfection for simply-supported and clamped beam-plates. The reasonable explanation is suggested qualitatively for the phenomenon that the predicted critical magnetic field of magnetoelastic buckling are always larger than the measured values from experiments.