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Paper Information

Journal:   MODARES MECHANICAL ENGINEERING   FEBRUARY 2017 , Volume 16 , Number 11 ; Page(s) 81 To 91.
 
Paper: 

DYNAMIC AND STATIC PULL-IN INSTABILITY ANALYSIS OF PARTIALLY AFFECTED NANOCANTILEVERS USING MODIFIED COUPLE STRESS THEORY

 
 
Author(s):  NOGHREHABADI AMINREZA*, HAGHPARAST AMIR
 
* DEPARTMENT OF MECHANICAL ENGINEERING, SHAHID CHAMRAN UNIVERSITY OF AHVAZ, AHVAZ, IRAN
 
Abstract: 

In this paper, the modified couple stress theory is used to study static and dynamic pull-in instability of a general model of a nano-cantilever under a sudden applied DC voltage in the presence of the surface effects. A partial part of the nano-cantilever is subject to the electrostatic and capillary forces. Euler-Bernoulli theory is used to model the beam and the equation of motion is derived by using Hamilton’s principle. The governing equations are transformed into a non-dimensional form and then solved using finite element method (FEM). The results, obtained using FEM are compared with the data available in the literature and found in good agreement. Basic parameters for engineering design at the nanoscale, such as deflection and pull-in voltage have been calculated for both of the dynamic and static modes.
The results of dynamic analysis of the beam show that as the voltage increases, the beam goes into an oscillating mode with large amplitudes just before pull-in phenomenon occurs and the beam collapses into the substrate (fixed electrode). Moreover, it is found that a decrease in the length of the fixed electrode (increase of the partially affecting parameter), the increase of the fringing field effect, the size effect and the surface effect increases the pull-in voltage of the nano-cantilever beam.

 
Keyword(s): NANO-BEAM, PULL-IN, COUPLE STRESS THEORY, PARTIALLY AFFECTED NANO BEAM
 
 
References: 
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APA: Copy

NOGHREHABADI, A., & Haghparast, A. (2017). DYNAMIC AND STATIC PULL-IN INSTABILITY ANALYSIS OF PARTIALLY AFFECTED NANOCANTILEVERS USING MODIFIED COUPLE STRESS THEORY. MODARES MECHANICAL ENGINEERING, 16(11 ), 81-91. https://www.sid.ir/en/journal/ViewPaper.aspx?id=571635



Vancouver: Copy

NOGHREHABADI AMINREZA, Haghparast Amir. DYNAMIC AND STATIC PULL-IN INSTABILITY ANALYSIS OF PARTIALLY AFFECTED NANOCANTILEVERS USING MODIFIED COUPLE STRESS THEORY. MODARES MECHANICAL ENGINEERING. 2017 [cited 2021August02];16(11 ):81-91. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=571635



IEEE: Copy

NOGHREHABADI, A., Haghparast, A., 2017. DYNAMIC AND STATIC PULL-IN INSTABILITY ANALYSIS OF PARTIALLY AFFECTED NANOCANTILEVERS USING MODIFIED COUPLE STRESS THEORY. MODARES MECHANICAL ENGINEERING, [online] 16(11 ), pp.81-91. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=571635.



 
 
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