| Autor: |
Ghalambaz, Mohammad, Noghrehabadi, Aminreza, Vosoogh, Amir |
| Předmět: |
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| Zdroj: |
International Review of Mechanical Engineering; May2011, Vol. 5 Issue 4, p586-593, 8p |
| Abstrakt: |
A hybrid Power series and Artificial Bee Colony Algorithm (PS-ABC) method is applied to solve a system of nonlinear differential equations arising from the distributed parameter model of a nano cantilever switch subject to the Casimir force, electrostatic force and fringing filed effect. To aim this purpose, a trial solution of the differential equation is defined as sum of two polynomial parts. The first part satisfies the boundary conditions and does contain two adjustable parameters and the second part which is constructed so as not to affect the boundary conditions and involves adjustable parameters. The ABC method is applied to find adjustable parameters of trial solution (in first and second part). The obtained results are compared with numerical results as well as analytical solutions those reported in literature. The results of the presented method represent a remarkable accuracy in compare with numerical results. The minimum initial gap and the detachment length of the actuator that does not stick to the substrate due to the Casimir attractions, as an important parameter in pull-in instability of a nano cantilever actuator, is calculated by obtained power series. The present solution is capable of determining stress distribution of the nano beam actuator at the onset of instability. It is seen that the Casimir effect significantly reduce the maximum value of stress resultants at the onset of instability. Furthermore the present method can be easily extended to solve a wide range of boundary value problems. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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