Dynamic Pull-In Instability of Double-Sided Actuated Nano-Torsional Switches

A nonlinear frequency-amplitude relation is developed to investigate the vibrational amplitude effect on the dynamic pull-in instability of double-sided-actuated nano-torsional switches. The governing equation of a nano-electro-mechanical system pre-deformed by an electric field contains the quintic nonlinear term. The influences of basic parameters on the pull-in instability and natural frequency are investigated using a powerful analytical approach called the homotopy perturbation method. It is demonstrated that two terms in series expansion are sufficient to produce an acceptable solution. The numerical results obtained have verified the soundness of the asymptotic procedure. The phase portraits of the double-sided nano-torsional-actuator exhibit periodic, homoclinic and heteroclinic orbits.

[1]  A. Yildirim,et al.  ASYMPTOTIC INVESTIGATION OF BUCKLED BEAM NONLINEAR VIBRATION , 2012 .

[2]  H. Sedighi,et al.  An analytic solution of transversal oscillation of quintic non-linear beam with homotopy analysis method , 2012 .

[3]  Yasir Khan,et al.  Analysis of nonlinear oscillations of a punctual charge in the electric field of a charged ring via a Hamiltonian approach and the energy balance method , 2011, Comput. Math. Appl..

[4]  Kourosh H. Shirazi,et al.  Accurate modeling of preload discontinuity in the analytical approach of the nonlinear free vibration of beams , 2012 .

[5]  Ahmet Yildirim,et al.  Determination of periodic solutions for nonlinear oscillators with fractional powers by He’s modified Lindstedt-Poincaré method , 2010 .

[6]  Ling Wen-hui,et al.  Dynamic Behaviour of Nanoscale Electrostatic Actuators , 2003 .

[7]  A. Darvishian,et al.  A coupled bending-torsion model for electrostatically actuated torsional nano/micro-actuators with considering influence of van der Waals force , 2013 .

[8]  Ya-Pu Zhao,et al.  Nonlinear behavior for nanoscale electrostatic actuators with Casimir force , 2005 .

[9]  Wen-Hui Lin,et al.  Influence of Damping on the Dynamical Behavior of the Electrostatic Parallel-plate and Torsional Actuators with Intermolecular Forces , 2007, Sensors.

[10]  Ji-Huan He,et al.  Max-Min Approach to Nonlinear Oscillators , 2008 .

[11]  O. Degani,et al.  Design considerations of rectangular electrostatic torsion actuators based on new analytical pull-in expressions , 2002 .

[12]  Ji-Huan He,et al.  Hamiltonian approach to nonlinear oscillators , 2010 .

[13]  G. Rezazadeh,et al.  Nonlinear vibrations and chaos in electrostatic torsional actuators , 2011 .

[14]  Wen-Hui Lin,et al.  Stability and bifurcation behaviour of electrostatic torsional NEMS varactor influenced by dispersion forces , 2007 .

[15]  Ya-Pu Zhao,et al.  Pull-in instability study of carbon nanotube tweezers under the influence of van der Waals forces , 2004 .

[16]  Florian Plötz,et al.  A low-voltage torsional actuator for application in RF-microswitches , 2001 .

[17]  W. Lin,et al.  Casimir effect on the pull-in parameters of nanometer switches , 2005 .

[18]  K. Hirahara,et al.  Carbon Nanotube Torsional Actuator Based on Transition between Flattened and Tubular States , 2012 .

[19]  Hossein Rafieipour,et al.  NEW ANALYTICAL APPROACH TO STUDY OF NONLINEAR BEHAVIOR OF ASYMMETRICALLY LCBS ON NONLINEAR ELASTIC FOUNDATION UNDER AXIAL AND THERMAL LOADING , 2012 .

[20]  Yapu Zhao,et al.  Instability analysis of torsional MEMS/NEMS actuators under capillary force. , 2009, Journal of colloid and interface science.

[21]  Asymptotic approach for nonlinear vibrating beams with saturation type boundary condition , 2013 .

[22]  Weileun Fang,et al.  A novel microelectrostatic torsional actuator , 2000 .

[23]  Jian-Gang Guo,et al.  Influence of van der Waals and Casimir forces on electrostatic torsional actuators , 2004 .

[24]  Kourosh H. Shirazi,et al.  Novel equivalent function for deadzone nonlinearity: applied to analytical solution of beam vibration using He's Parameter Expanding Method , 2012 .

[25]  H. Sedighi,et al.  Vibrations of micro-beams actuated by an electric field via Parameter Expansion Method , 2013 .

[26]  Jian-Gang Guo,et al.  Dynamic stability of electrostatic torsional actuators with van der Waals effect , 2006 .

[27]  Ji-Huan He.  Homotopy perturbation technique , 1999 .

[28]  Hamid M. Sedighi,et al.  Application of Recent Powerful Analytical Approaches on the Non-Linear Vibration of Cantilever Beams , 2012 .

[29]  Kourosh H. Shirazi,et al.  A New Approach to Analytical Solution of Cantilever Beam Vibration With Nonlinear Boundary Condition , 2012 .

[30]  Hossein Rafieipour,et al.  New analytical approach to nonlinear behavior study of asymmetrically LCBs on nonlinear elastic foundation under steady axial and thermal loading , 2012 .