Engineering Mechanics

Proceedings Vol. 17 (2011)

ENGINEERING MECHANICS 2011

Copyright © 2011 Institute of Thermomechanics, Academy of Sciences of the Czech Republic, v.v.i., Prague

 

Stein G. J., Darula R., Chmúrny R.
pages 567 - 570, full text

There are mechatronic applications, where a slender beam or plate is subjected to static magnetic force generated by an electromagnetic actuator consisting of a solenoid on a ferromagnetic core and a yoke, fixed to the beam. The static magnetic force, acting perpendicularly onto the beam, causes sag (downwards bending) of the beam. If the magnitude of the magnetic force surpasses some threshold value the beam is buckled. For small deflections the mathematical expression of the magnetic force can be approximated by a polynomial dependence on the distance to the magnet. It is important to analyse the nature of the sag and to determine the limits of the linear approximation, as well as the limits leading to the buckled state. The mathematical generalisation of the sag is valid for electrostatic force between planar electrodes, too.

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