Abstract
In this chapter, the bending behavior of magnetostrictive beams is investigated. A nonlinear constitutive model is used to relate the magnetomechanical properties of the beam material. The beam is subjected to a linear prestress through a mechanical bending moment as well as a uniform longitudinal magnetic field. A semi-analytical algorithm is proposed for obtaining the magnetization, stress profile, and deflection of simply supported and cantilever beams. Comparing the results with those of experimental works, it is shown that the one-dimensional nonlinear model which was previously used to model the magnetostrictive rods and thin films can also accurately model the beams. It is shown that in a constant mechanical bending moment, the beam deflection first increases in the region of low fields and then decreases smoothly as the magnetic field increases. The nonlinear magnetization and stress profiles through the thickness of the beam are obtained for various values of bending moment as complementary results.
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Sheikholeslami, S.A., Aghdam, M.M. (2018). A Semi-analytical Solution for Bending of Nonlinear Magnetostrictive Beams. In: Dai, L., Jazar, R. (eds) Nonlinear Approaches in Engineering Applications. Springer, Cham. https://doi.org/10.1007/978-3-319-69480-1_11
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DOI: https://doi.org/10.1007/978-3-319-69480-1_11
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