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The magnetostrictive materials (MsM) provide good properties to convert the mechanical energy into electrical. In the paper a cantilever beam model was analysed, which consists of the alloy including the Gallium and the Ferrum. The external excitation produces the magnetic field due to created maximal stress on the external beam fibres. By applied the external coil subsystem the electrical energy was captured. The main goal of the analysis was to investigate the influence of the beam neutral axis position for energy harvesting efficiency. In case, the neutral axis agrees with the symmetry axis of the magnetostrictive beam, the magnetic fields cancel each other out, while stress is on. This effect disappears while the neutral axis is moved beyond the MsM beam's symmetry. It was estimated the influence of the beam response vibration amplitude on the output electric energy extracted from the system, at increased an effective MsM layer. It was analysed for three beam thickness proportions in the vicinity of the first three resonance frequencies while the beam reaches its shape modes and the output power reaches the maximua values. The system bahaviour reveals its intermittency by swept both, up and down excitation frequency of the beam vibration. It also significantly changes the output voltage level. Additionally the sensitivity of the system for different boundary conditions has been reported regarding to an output power. The numerical results were verified experimentally in case of the most efficient beam thickness proportion.