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Singular Points in Electromechanical Systems and Their Determination

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  • Joachim Haase
  • Gerd Pönisch

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.

Suggested Citation

  • Joachim Haase & Gerd Pönisch, 2004. "Singular Points in Electromechanical Systems and Their Determination," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 10(2), pages 107-121, June.
    • Handle: RePEc:taf:nmcmxx:v:10:y:2004:i:2:p:107-121
    DOI: 10.1080/13873950412331318099
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