TEAM problem 28 - Levitating plate
This device is one of the International TEAM Workshop series of benchmark problems used to challenge and test finite element analysis software. It consists of an aluminum plate which is levitated by two coils driven by an AC current at a frequency of 50 Hz. The problem is to calculate the motion of the plate after the current is switched on, starting with the plate at rest just above the coils. A complete description of this problem is given in the paper by Hans Karl, Joachim Fetzer, Stefan Kurz, Gunther Lehner and Wolfgang M. Rucker, "Description of TEAM Workshop Problem 28: An Electrodynamic Levitation Device". It is simulated in MagNet using the transient 2d with motion solver.
Results
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The height of the aluminum plate as a function of time. The red trace is the result obtained experimentally, the blue trace is the height calculated by MagNet. Although the calculated motion does not match the experimental results perfectly, the discrepancy is not large, given that in transient problems any small difference in initial conditions is often magnified as time progresses. In fact the MagNet result is very close to the results presented in the paper referenced above which were based on a different boundary element-finite element formulation.
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The magnetic force on the plate as a function of time for the first 500 ms. The magnetic force opposes the weight of the plate which is a constant force of 1.05 Newtons downward. The frequency of the magnetic force is double the source frequency, and this time-varying force causes the plate to vibrate even after it reaches equilibrium, as can be seen in the previous graph.
This device is one of the International TEAM Workshop series of benchmark problems used to challenge and test finite element analysis software. It consists of an aluminum plate which is levitated by two coils driven by an AC current at a frequency of 50 Hz. The problem is to calculate the motion of the plate after the current is switched on, starting with the plate at rest just above the coils. A complete description of this problem is given in the paper by Hans Karl, Joachim Fetzer, Stefan Kurz, Gunther Lehner and Wolfgang M. Rucker, "Description of TEAM Workshop Problem 28: An Electrodynamic Levitation Device". It is simulated in MagNet using the transient 2d with motion solver.
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