Journal
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY
Volume 29, Issue 2, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218348X21500304
Keywords
N; MEMS; Pull-in Stability; Fractal Space; Pull-in Instability; Fractal Derivative
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This paper investigates the pull-in instability problem in electrostatic Nano/Micro-electromechanical systems working in a porous medium, establishes a fractal model, and discovers a pull-in stability plateau controlled by the porous structure, leading to the transformation of pull-in instability into stability.
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.
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