On the Nonlinear Dynamics of a Levitating Conducting Disk in the Two-Circuit Approximation of the Induced Current Field

Authors:
Publisher website
Google Scholar
Abstract
A new analytical approach to modeling the nonlinear dynamics of an induction suspension based on a two-circuit approximation of the eddy current distribution in a thin conducting disk is presented. The method of multiple scales is used to obtain a uniformly valid solution describing both slow low-frequency oscillations of the levitation height and fast components associated with the frequency of the feeding field. A novel parametric identification technique is proposed that requires only a single experimental measurement of the steady-state levitation height to determine the effective geometric parameters of the system. Verification against TEAM Workshop Problem 28 data and results of finite-element modeling confirmed that the model provides the high accuracy in the steady-state regime (disagreement <1%) and correctly reproduces the qualitative characteristics of the transient process. Stability criteria for the equilibrium position are derived analytically and confirmed numerically.

This publication has 27 references indexed in Scilit: