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Stable dynamics of micro-machined inductive contactless suspensions

Poletkin, Kirill; Lu, Zhiqiu; Wallrabe, Ulrike; Korvink, Jan; Badilita, Vlad

Abstract:
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.


Zugehörige Institution(en) am KIT Institut für Mikrostrukturtechnik (IMT)
Publikationstyp Zeitschriftenaufsatz
Jahr 2017
Sprache Englisch
Identifikator DOI: 10.1016/j.ijmecsci.2017.08.016
ISSN: 0020-7403, 1879-2162
KITopen ID: 1000073726
HGF-Programm 43.22.01; LK 01
Erschienen in International journal of mechanical sciences
Band 131-132
Seiten 753-766
Schlagworte classical mechanics, stability, dynamics, dissipative forces, positional forces, magnetic levitation, micro-systems, contactless suspension, 3D micro-coils
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