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Investigation of Static and Dynamic Pull-in Instability in a FGP Micro-Beam

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Abstract

In this paper, static and dynamic behavior of a fully clamped functionally graded piezoelectric micro-beam, subjected to simultaneous electrostatic and piezoelectric actuations is investigated. The micro-beam is composed of silicon and PZ4 as a piezoelectric material. Applying DC piezoelectric voltage results in the generation of an axial force and as a result the equivalent bending stiffness of the micro-beam changes. The tunability of the bending stiffness due to piezoelectric actuation is used to stabilize the pull-in instability. The nonlinear governing equation of the motion is derived using Hamiltonian principle and discretized to a single degree of freedom system using Galerkin method. The static and dynamic pull-in voltages corresponding to various piezoelectric voltages are determined. The ratio of the static to dynamic pull-in voltages is in good agreement with those of the literature.

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Authors and Affiliations

  1. School of Automotive Engineering, Iran University of Science and Technology, Tehran, Iran

    Araz Rezaei Kivi & Javad Marzbanrad

  2. Mechanical Engineering Department, Urmia University of Technology, Urmia, Iran

    Saber Azizi

Authors
  1. Araz Rezaei Kivi
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  2. Saber Azizi
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  3. Javad Marzbanrad
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Correspondence to Saber Azizi.

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Rezaei Kivi, A., Azizi, S. & Marzbanrad, J. Investigation of Static and Dynamic Pull-in Instability in a FGP Micro-Beam. Sens Imaging 16, 2 (2015). https://doi.org/10.1007/s11220-014-0104-x

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  • DOI: https://doi.org/10.1007/s11220-014-0104-x

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