DETERMINATION OF SIZE-DEPENDENT NON-LINEAR PULL-IN INSTABILITY OF CLAMPED NANO-BEAM BASED ON THE MODIFIED STRAIN GRADIENT THEORY USING HPM

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KARIMIPOUR IMAN; KARIMIPOUR AHMADREZA; TADI BENI YAGHOUB

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Journal: Modares Mechanical Engineering Year:2015 | Volume:15 | Issue:2 Page(s): 101-112

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Title

DETERMINATION OF SIZE-DEPENDENT NON-LINEAR PULL-IN INSTABILITY OF CLAMPED NANO-BEAM BASED ON THE MODIFIED STRAIN GRADIENT THEORY USING HPM

Author(s)

KARIMIPOUR IMAN | KARIMIPOUR AHMADREZA | TADI BENI YAGHOUB | Issue Writer Certificate

Keywords

VAN DER WAALS FORCEQ2

HPMQ2

SIZE EFFECTQ1

STRAIN GRADIENT THEORYQ2

PULL-IN INSTABILITYQ2

Abstract

In recent decades, modeling the instability of nanostructures has attracted a great deal of attention in nanomechanics. Nanomechanical switches are fundamental building blocks for the design of NEMS applications, such as nanotweezers and nanoscale actuators. One common type of NEMS including nano-bridge in micro mirrors, is used. At nano-scales, the decreasing gap between the two electrodes produces surface traction due to molecular interaction such as van der Waals that must be taken into account in the analysis of NEMS. In this study, STRAIN GRADIENT THEORY has been used to investigate the size dependent PULL-IN INSTABILITY of beam-type (NEMS) where an inherent instability is found in them. The von-Karman nonlinear strain has been applied to derive the constitutive equation of the system. Effect of intermolecular force has been included in the nonlinear governing equations of the system. Homotopy perturbation method (HPM) has been employed to solve the nonlinear equations. Effect of intermolecular attraction and the size dependency and the importance of coupling between them on the instability performance i.e., critical deflection and instability voltage have been discussed. According the findings of this research, it can be concluded that intermolecular forces decrease pull-in voltage, and SIZE EFFECT parameter in nano scale leads to an increase of pull-in parameters. Also, HPM method can be applied as an efficient method to analyze beam type nano structures.

Cites

FREE VIBRATION OF MICRO ROTATING EULER-BERNOULLI BEAMS BASED ON THE STRAIN GRADIENT THEORY

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APA: Copy

KARIMIPOUR, IMAN, KARIMIPOUR, AHMADREZA, & TADI BENI, YAGHOUB. (2015). DETERMINATION OF SIZE-DEPENDENT NON-LINEAR PULL-IN INSTABILITY OF CLAMPED NANO-BEAM BASED ON THE MODIFIED STRAIN GRADIENT THEORY USING HPM. MODARES MECHANICAL ENGINEERING, 15(2), 101-112. SID. https://sid.ir/paper/179735/en

Vancouver: Copy

KARIMIPOUR IMAN, KARIMIPOUR AHMADREZA, TADI BENI YAGHOUB. DETERMINATION OF SIZE-DEPENDENT NON-LINEAR PULL-IN INSTABILITY OF CLAMPED NANO-BEAM BASED ON THE MODIFIED STRAIN GRADIENT THEORY USING HPM. MODARES MECHANICAL ENGINEERING[Internet]. 2015;15(2):101-112. Available from: https://sid.ir/paper/179735/en

IEEE: Copy

IMAN KARIMIPOUR, AHMADREZA KARIMIPOUR, and YAGHOUB TADI BENI, “DETERMINATION OF SIZE-DEPENDENT NON-LINEAR PULL-IN INSTABILITY OF CLAMPED NANO-BEAM BASED ON THE MODIFIED STRAIN GRADIENT THEORY USING HPM,” MODARES MECHANICAL ENGINEERING, vol. 15, no. 2, pp. 101–112, 2015, [Online]. Available: https://sid.ir/paper/179735/en

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