Nonlinear Dynamics of Forced Oscillator Subjected to a Magnetic Interaction
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It is considered the system composed of a cart moving along a linear rolling bearing with harmonic excitation produced by a stepper motor with an unbalanced disk. The magnetic field is generated by a pair of non-point neodymium magnets, one of which is mounted on the cart, whereas another one is fixed on the guide out of the axis of oscillations. The mathematical model for the cart dynamics is derived where the scaled point dipoles approximation of magnetic interaction is used. The numerical and bifurcation analysis of the model presented is carried out and compared to the experimental results.