Forced Lateral Vibrations of Magnetically Soft Microribbon: Construction of Partial Solutions

Abstract: The mathematical description of low-frequency vibrations of the magnetically soft precision microribbon Fe_73.5Cu₁Nb₃Si_13.5B₉ with the fixed one end is proposed in the paper. Resonant frequencies of induced mechanical vibrations of microribbons are found in the given frequency range of 15–80 Hz, for an alternating magnetic field. The attenuation coefficient, measured for the mechanical self-vibration of the annealed sample, is derived. This coefficient measured by laser turns out to be much smaller than the corresponding half-width of the amplitude-frequency characteristic (frequency response) of the described above forced vibrations The theoretical model of forced and free microribbon vibrations with finite thickness and width is proposed. One of the created partial solutions properties is a relatively wide resonance curve, which is confirmed experimentally. The given examples of partial solutions confirm the assumption about the frequency response shape below the maximum frequency at the specified excitation frequency and system parameters. The dependence of the mechanical parameter characterizing the force moment during bending deformation on the applied magnetic field intensity determines the mechanical properties of soft magnetic crystalline materials.