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Fractal N/Mems: From Pull-In Instability To Pull-In Stability

Author

Listed:
  • DAN TIAN

    (School of Science, Xi’an University of Architecture and Technology, Xi’an, P. R. China)

  • QURA-TUL AIN

    (��National Engineering Laboratory for Modern Silk, College of Textile and Clothing Engineering, Soochow University, 199 Ren-Ai Road, Suzhou, P. R. China‡School of Mathematical Science, Soochow University, Suzhou, P. R. China)

  • NAVEED ANJUM

    (��National Engineering Laboratory for Modern Silk, College of Textile and Clothing Engineering, Soochow University, 199 Ren-Ai Road, Suzhou, P. R. China‡School of Mathematical Science, Soochow University, Suzhou, P. R. China)

  • CHUN-HUI HE

    (�School of Civil Engineering, Xi’an University of Architecture & Technology, Xi’an 710055, China)

  • BIN CHENG

    (School of Science, Xi’an University of Architecture and Technology, Xi’an, P. R. China)

Abstract

Pull-in instability, as an inherent nonlinear problem, continues to become an increasingly important and interesting topic in the design of electrostatic Nano/Micro-electromechanical systems (N/MEMS) devices. Generally, the pull-in instability was studied in a continuous space, but when the electronic devices work in a porous medium, they need to be analyzed in a fractal partner. In this paper, we establish a fractal model for N/MEMS, and find a pull-in stability plateau, which can be controlled by the porous structure, and the pull-in instability can be finally converted to a stable condition. As a result, the pull-in instability can be completely eliminated, realizing the transformation of pull-in instability into pull-in stability.

Suggested Citation

  • Dan Tian & Qura-Tul Ain & Naveed Anjum & Chun-Hui He & Bin Cheng, 2021. "Fractal N/Mems: From Pull-In Instability To Pull-In Stability," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(02), pages 1-8, March.
    • Handle: RePEc:wsi:fracta:v:29:y:2021:i:02:n:s0218348x21500304
    DOI: 10.1142/S0218348X21500304
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    Cited by:

    1. He, Ji-Huan & Jiao, Man-Li & Gepreel, Khaled A. & Khan, Yasir, 2023. "Homotopy perturbation method for strongly nonlinear oscillators," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 204(C), pages 243-258.
    2. Karimi Rahjerdi, Bahareh & Ramamoorthy, Ramesh & Nazarimehr, Fahimeh & Rajagopal, Karthikeyan & Jafari, Sajad, 2022. "Indicating the synchronization bifurcation points using the early warning signals in two case studies: Continuous and explosive synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    3. Ain, Qura tul & Khan, Aziz & Ullah, Muhammad Irfan & Alqudah, Manar A. & Abdeljawad, Thabet, 2022. "On fractional impulsive system for methanol detoxification in human body," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).

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