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Modeling the effect of microstructure on the coupled torsion/bending instability of rotational nano-mirror in Casimir regime

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Abstract

It has been well-established that the physical performance of nano-devices might be affected by the microstructure. Herein, a 2-degree-of-freedom model based on the modified couple stress elasticity is developed to incorporate the impact of microstructure in the torsion/bending coupled instability of rotational nano-electromechanical mirror. The governing equation of the mirror is derived incorporating the effects of electrostatic Coulomb and corrected Casimir forces with the consideration of the finite conductivity of interacting surfaces. Effect of microstructure-dependency on the instability parameters are determined as a function of the microstructure parameter, bending/torsion coupling ratio, vacuum fluctuation parameter and geometrical dimensions. It is found that the bending/torsion coupling substantially affects the stable behavior of the mirrors especially those with long rotational beam elements. Depending on the geometry and material characteristics, the presented model is able to simulate both hardening behavior (due to microstructure) and softening behavior (due to torsion/bending coupling) of the nano-mirror.

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Authors and Affiliations

  1. Shahrekord University of Medical Sciences, Shahrekord, Iran

    M. Keivani

  2. Shahrekord Branch, Islamic Azad University, Shahrekord, Iran

    A. Koochi & M. Abadyan

  3. Department of Mathematics, Isfahan (Khorasgan) Branch, Islamic Azad University, Isfahan, Iran

    J. Mokhtari & N. Abadian

Authors
  1. M. Keivani
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  2. A. Koochi
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  3. J. Mokhtari
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  4. N. Abadian
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  5. M. Abadyan
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Correspondence to M. Abadyan.

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Keivani, M., Koochi, A., Mokhtari, J. et al. Modeling the effect of microstructure on the coupled torsion/bending instability of rotational nano-mirror in Casimir regime. Microsyst Technol 23, 2931–2942 (2017). https://doi.org/10.1007/s00542-016-3094-x

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  • DOI: https://doi.org/10.1007/s00542-016-3094-x

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