Journal
ACTA ASTRONAUTICA
Volume 95, Issue -, Pages 111-123Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.actaastro.2013.10.020
Keywords
Strain gradient elasticity theory; Dynamic pull-in instability; Size-dependent; Parameter Expansion Method; Frequency-amplitude relationship; Microbeam vibration
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This paper presents the impact of vibrational amplitude on the dynamic pull-in instability and fundamental frequency of actuated microbeams by introducing the second order frequency-amplitude relationship. The nonlinear governing equation of microbeam predeformed by an electric force including the fringing field effect, based on the strain gradient elasticity theory is considered. The predicted results of the strain gradient elasticity theory are compared with the outcomes that arise from the classical and modified couple stress theory. The influences of basic nondimensional parameters on the pull-in instability as well as the natural frequency are investigated by a powerful asymptotic approach namely the Parameter Expansion Method (PEM). It is demonstrated that two terms in series expansions are sufficient to produce an acceptable solution of the microstructure. The phase portrait of the microstructure shows that by increasing the actuation voltage parameter, the stable center point loses its stability and coalesces with unstable saddle node. (C) 2013 IAA. Published by Elsevier Ltd. All rights reserved.
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