Singular Points in Electromechanical Systems and Their Determination |
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Authors: | Joachim Haase Gerd Pönisch |
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Institution: | 1. Fraunhofer Institut Integrierte Schaltungen , Zeunerstr. 38, Dresden, D-01069, Germany;2. Technische Universit?t Dresden, Institut für Numerische Mathematik , Dresden, Germany |
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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. |
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Keywords: | Turning point bifurcation point pitchfork pull-in effect electrostatic actuation MEMS |
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