The paper presents the model of the dynamic behavior of vibrating structures where paramagnetic or diamagnetic conducting materials (such as Aluminum, Copper, Brass) are interacting with passive magnetic elements.

The magnetic model is based on the analogy of the equivalent currents method in a quasi-static open-circuit-type configuration and it is used to determine the influence of eddy currents on the dynamic behavior of structures made of conducting materials.

The effect of the magnetic interactions consists in a viscous-type damping effect as well as in an interesting stiffening effect denoted as “phantom effect”, which is modeled by adding an imaginary term to the damping coefficient.

The influence of both terms on the dynamic response of a single degree of freedom system immersed in a magnetic field is discussed for varying magnitudes of the gradient of magnetic induction.

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