Comparison between two analytical techniques for simulating the pull-in behavior of nano-structures
Abstract
Modified and conventional Adomian decomposition methods are two power full methods in solving nonlinear equation. In this paper the ability of modified and conventional Adomian decomposition methods for modeling the nonlinear instability of cantilever nano beam is comparatively investigated. advantage and disadvantage of each method are presented result shows that MAD is more power full than AD and converge to numerical values but AD converge to a values in the neighborhood of numerical value.
- Publication:
-
Numerical Analysis and Applied Mathematics ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics
- Pub Date:
- September 2012
- DOI:
- 10.1063/1.4756683
- Bibcode:
- 2012AIPC.1479.2419A
- Keywords:
-
- beams (structures);
- cantilevers;
- convergence of numerical methods;
- mechanical stability;
- nanoelectromechanical devices;
- nanomechanics;
- nonlinear differential equations;
- 02.30.Hq;
- 02.60.Lj;
- 07.10.Cm;
- 46.40.Ff;
- 46.70.De;
- 85.85.+j;
- Ordinary differential equations;
- Ordinary and partial differential equations;
- boundary value problems;
- Micromechanical devices and systems;
- Resonance damping and dynamic stability;
- Beams plates and shells;
- Micro- and nano-electromechanical systems and devices