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Singular points in electromechanical systems and their determination

: Haase, J.; Pönisch, G.


Mathematical and computer modelling of dynamical systems 10 (2004), No.2, pp.107-121
ISSN: 1387-3954
Journal Article
Fraunhofer IIS, Institutsteil Entwurfsautomatisierung (EAS) ()

An approach to determine turning points in electromechanical systems is presented and applied to the determination of pull-in parameters. The pull-in phenomenon is an inherent instability in devices using electrostatic actuation where an electrostatic force works against an elastic restoring force. The paper presents a relation between multi-valued characteristics describing MEMS devices and weakly singular tracking problems. The technique of augmented systems that characterize turning points is applied to the analytical and numerical determination of pull-in parameters. The method is discussed using a computer algebra system and a VHDL-AMS simulation engine.