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Analysis of U-shaped NEMS in the Presence of Electrostatic, Casimir, and Centrifugal Forces Using Consistent Couple Stress Theory

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Abstract

A mathematical model is used to study the effects of the electrostatic, Casimir and centrifugal forces on the static behaviors of the two U-shaped NEMS with rectangular and circular geometries. The size-dependent equations are obtained by employing the consistent couple stress theory (CCST). The D’Alembert principle is used to transform the angular speed into an equivalent static centrifugal force. The equivalent boundary condition technique is applied for obtaining the governing equation of the U-shape actuator. The nonlinear equations are solved by two different approaches, i.e., using a distributed parameter model (in conjunction with Rayleigh–Ritz solution method) and a lumped parameter model. The model is validated by comparing the obtained results with those of experiment as well as finite element simulation. The effect of various parameters on the instability threshold and characteristics of the system is discussed. The obtained results are beneficial for design and fabrication of U-shaped sensors.

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Authors and Affiliations

  1. Shahrekord University of Medical Sciences, Shahrekord, Iran

    Maryam Keivani

  2. Department of Mathematics, Isfahan (Khorasgan) BranchIslamic Azad University, Isfahan, Iran

    Javad Mokhtari, Naeime Abadian & Masoud Abbasi

  3. School of Mechanical Engineering, Shiraz University, Shiraz, Iran

    Masoud Abbasi

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

    Ali Koochi & Mohamadreza Abadyan

Authors
  1. Maryam Keivani
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  2. Javad Mokhtari
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  3. Naeime Abadian
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  4. Masoud Abbasi
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  5. Ali Koochi
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  6. Mohamadreza Abadyan
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Correspondence to Masoud Abbasi.

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Keivani, M., Mokhtari, J., Abadian, N. et al. Analysis of U-shaped NEMS in the Presence of Electrostatic, Casimir, and Centrifugal Forces Using Consistent Couple Stress Theory. Iran J Sci Technol Trans Sci 42, 1647–1658 (2018). https://doi.org/10.1007/s40995-017-0151-y

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  • DOI: https://doi.org/10.1007/s40995-017-0151-y

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