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Stable dynamics of micro-machined inductive contactless suspensions

Poletkin, Kirill 1; Lu, Zhiqiu; Wallrabe, Ulrike; Korvink, Jan 1; Badilita, Vlad 1
1 Institut für Mikrostrukturtechnik (IMT), Karlsruher Institut für Technologie (KIT)


In this article we present a qualitative approach to study the dynamics and stability of micro-machined inductive contactless suspensions (MIS). In the framework of this approach, the induced eddy current into a levitated micro-object is considered as a collection of m-eddy current circuits. Assuming small displacements and the quasi-static behavior of the levitated micro-object, a generalized model of MIS is obtained and represented as a set of six linear differential equations corresponding to six degrees of freedom in a rigid body by using the Lagrange-Maxwell formalism. The linear model allows us to investigate the general stability properties of MIS as a dynamic system, and these properties are synthesized in three major theorems. In particular we prove that the stable levitation in the MIS without damping is impossible. Based on the approach presented herewith, we give general guidelines for designing MIS. Additionally, we demonstrate the successful application of this technique to study the dynamics and stability of symmetric and axially symmetric MIS designs, both based on 3D micro-coil technology.

DOI: 10.1016/j.ijmecsci.2017.08.016
Zitationen: 19
Web of Science
Zitationen: 12
Zitationen: 18
Zugehörige Institution(en) am KIT Institut für Mikrostrukturtechnik (IMT)
Publikationstyp Zeitschriftenaufsatz
Publikationsjahr 2017
Sprache Englisch
Identifikator ISSN: 0020-7403, 1879-2162
KITopen-ID: 1000073726
HGF-Programm 43.22.01 (POF III, LK 01) Functionality by Design
Erschienen in International journal of mechanical sciences
Verlag Elsevier
Band 131-132
Seiten 753-766
Schlagwörter classical mechanics, stability, dynamics, dissipative forces, positional forces, magnetic levitation, micro-systems, contactless suspension, 3D micro-coils
Nachgewiesen in Scopus
Web of Science
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