Theoretical study of the effect of Casimir force, elastic boundary conditions and size dependency on the pull-in instability of beam-type NEMS

被引:123
作者
Beni, Y. Tadi [2 ]
Koochi, A. [3 ]
Abadyan, M. [1 ]
机构
[1] Islamic Azad Univ, Mech Engn Grp, Ramsar Branch, Ramsar, Iran
[2] Univ Shahrekord, Fac Engn, Shahrekord, Iran
[3] Islamic Azad Univ, Mech Engn Grp, Naein, Iran
关键词
STRAIN GRADIENT PLASTICITY; COUPLE-STRESS THEORY; NANO-CANTILEVERS; MICRO-BEAMS; BEHAVIOR; ACTUATORS; MODEL; SWITCHES; VOLTAGE; SYSTEMS;
D O I
10.1016/j.physe.2010.11.033
中图分类号
TB3 [工程材料学];
学科分类号
0805 ; 080502 ;
摘要
In this paper, the static pull-in instability of beam-type nano-electromechanical systems (NEMS) is theoretically investigated considering the effect of Casimir attraction, elastic boundary conditions (BC) and size dependency. Rotational springs are utilized at each of the supported ends of the simply and doubly supported beams to model an elastic BC. The modified couple stress theory is applied to examine the size effects on the instability of nanostructures. In order to solve the nonlinear constitutive equation of nano-beams, modified Adomian decomposition (MAD) as well as the numerical method is employed. The results reveal significant influences of Casimir attraction, elastic BC and size dependency on the pull-in characteristics of NEMS. The obtained MAD solution agrees well with the numerical one. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码:979 / 988
页数:10
相关论文
共 58 条
[1]  
ABADYAN M, MAT DES IN PRESS, DOI DOI 10.1016/J.MATDES.2010.08.002
[2]   Approximating the effect of the Casimir force on the instability of electrostatic nano-cantilevers [J].
Abadyan, Mohamadreza ;
Novinzadeh, Alireza ;
Kazemi, AsiehSadat .
PHYSICA SCRIPTA, 2010, 81 (01)
[3]  
[Anonymous], 1984, SOLID MECH VARIATION
[4]  
[Anonymous], 1992, INTERMOLECULAR SURFA
[5]  
[Anonymous], P I MECH ENG C J MEC
[6]   On the size-dependent behavior of functionally graded micro-beams [J].
Asghari, M. ;
Ahmadian, M. T. ;
Kahrobaiyan, M. H. ;
Rahaeifard, M. .
MATERIALS & DESIGN, 2010, 31 (05) :2324-2329
[7]   Vibrations and pull-in instabilities of microelectromechanical von Karman elliptic plates incorporating the Casimir force [J].
Batra, R. C. ;
Porfiri, M. ;
Spinello, D. .
JOURNAL OF SOUND AND VIBRATION, 2008, 315 (4-5) :939-960
[8]   Effects of Casimir force on pull-in instability in micromembranes [J].
Batra, R. C. ;
Porfiri, M. ;
Spinello, D. .
EPL, 2007, 77 (02)
[9]   Reduced-order models for microelectromechanical rectangular and circular plates incorporating the Casimir force [J].
Batra, R. C. ;
Porfiri, M. ;
Spinello, D. .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2008, 45 (11-12) :3558-3583
[10]   Review of modeling electrostatically actuated microelectromechanical systems [J].
Batra, R. C. ;
Porfiri, M. ;
Spinello, D. .
SMART MATERIALS AND STRUCTURES, 2007, 16 (06) :R23-R31