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Singular Points in Electromechanical Systems and Their Determination

Joachim Haase and Gerd Pönisch

Mathematical and Computer Modelling of Dynamical Systems, 2004, vol. 10, issue 2, 107-121

Abstract: 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.

Date: 2004
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DOI: 10.1080/13873950412331318099

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