Abstract
We report on the control of the spatial wave profile of a chain of lumped magnets arranged in a repelling configuration. The spatial wave attributes are controlled by varying the spacing between the magnets, which in turn affects the equivalent stiffness of the lattice. The dispersion relation for an infinite lattice is first derived for linearized equations of motion to provide an insight into the effect of varying the lattice spacing on the wavelength and sonic speed. The unit cell analysis is verified using analytical spatial wave profiles for a finite magnetic lattice. We conclude the paper with an analytical derivation of a fuel/time optimal controller designed to control the spacing between the magnets, which is necessary for implementation aspects.
| Original language | English |
|---|---|
| Article number | 111015 |
| Journal | Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME |
| Volume | 141 |
| Issue number | 11 |
| DOIs | |
| State | Published - Nov 2019 |
Keywords
- dispersion analysis
- magnetic lattice
- wave control
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