A hybrid Power series - Artificial Bee Colony Algorithm to solve electrostatic pull-in instability and deflection of nano cantilever actuators considering Casimir attractions

International Review of Mechanical Engineering

Volumn 5, Issue 4, 2011, Pages 586-593

  Ghalambaz, Mohammad ^a   Noghrehabadi, Aminreza ^b   Vosoogh, Amir ^c  

^a ISLAMIC AZAD UNIVERSITY   (Iran)

^b ISLAMIC AZAD UNIVERSITY   (Iran)

^c ISLAMIC AZAD UNIVERSITY   (Iran)

Author keywords

Artificial Bee Colony (ABC); Cantilever; Electromechanical switches; Nano; Optimization; Power series; Pull in

Indexed keywords

EID: 84856157349     PISSN: 19708734     EISSN: 19708742     Source Type: Journal    
DOI: None     Document Type: Article

References (31)

1. Mastrangelo C. H., C. H. Hsu, Mechanical stability and adhesion of microstructures under capillary force-Part I: Basic theory, Journal of Microelectromechanical Systems, vol. 2, n.1, pp: 33-43.
2. Showkat Y., Chowdhury J., Howard B., Thermo-Mechanical Properties of Graphite-Epoxy Composite, International Review of Mechanical Engineering, IREME, Vol. 4. n. 6, pp. 785-790, 2010.
3. Soroush A, Koochi A, Kazemi A. S., Noghrehabadi A, Haddadpour H, Abadyan M., Investigating the effect of Casimir and van der Waals attractions on the electrostatic pull-in instability of nano-actuators, J. Phys. Scr, Vol. 82, 2010.
4. Koochi A., Noghrehabadi A., Abadyan M., Roohi E., Investigation of the effect of van der Waals force on the instability of electrostatic nano-actuators, Int J Mod Phys: B [in press].
5. Israelachvili J. N., Intermolecular and Surface Forces. (London: Academic Press), 1992.
6. Lamoreaux S. K., The Casimir force: background, experiments, and applications. Rep. Prog. Phys, vol 68, 201-36, 2005.
7. Gusso A., Delben G. J., Dispersion force for materials relevant for micro and nanodevices fabrication, J. Phys. D: Appl. Phys,2008.
8. Serry F. M., Walliser D., Maclay G. J., The role of the Casimir effect in the static deflectionand stiction of membrane strips in MEMS, J. Appl. Phys, Vol 80, pp: 2501-2506, 1998.
9. Chan H. B., Aksyuk V. A., Kleiman R. N., Bishop D. J., Capasso F., Quantum mechanical actuation of micro-electromechanical systems by the Casimir force. J. Science, pp 1941-1944, 2001.
10. Gusso A., Delben G. J., Influence of the Casimir force on the pullin parameters of silicon based electrostatic torsional actuators Sensors Actuat, J. A-Phys, pp: 792-800, 2007.
11. Lin W. H., Zhao Y. P., Casimir effect on the pull-in parameters of nanometer switches, Microsyst. Thechnol, Vol. 11, pp: 80-85, 2005.
12. Lin W. H., Zhao Y. P., Nonlinear behavior for nanoscale electrostatic actuators with Casimir force Chaos Soliton, Fract, Vol. 23, pp: 1777-1785, 2005.
13. Rotkin S. V., Analytical calculations for nanoscale electromechanical systems. Electrochem. Soc. Proc, Vol. 6, pp: 90-97, 2002.
14. Lin W. H., Zhao Y. P., Dynamic behavior of nanoscale electrostatic actuators Chin, J. Phys. Lett, Vol. 20, pp: 2070-3, 2003.
15. Jonnalagaddaa K., Chob S. W., Chasiotisa I., Friedmannc T., Sullivanc J., Effect of intrinsic stress gradient on the effective mode-I fracture toughness of amorphous diamondlike carbon films for MEMS, J. Mech. Phys. Solids, Vol. 56, pp: 388-401, 2008.
16. Pugno N., Peng B., Espinosa H. D., Predictions of strength in MEMS components with defects-a novel experimental-theoretical approach, Int. J. Solids and Struct., Vol. 42, pp: 647-661, 2005.
17. Ramezania A., Alasty A., Akbari J., Pull-in parameters of cantilever type nanomechanical switches in presence of Casimir force, Nonlinear Analysis, Hybrid Systems, Vol. 1, pp: 364-382, 2007.
18. Ramezani A., Alasty A., Akbari J., Closed-form solutions of the pull-in instability in nano-cantilevers under electrostatic and intermolecular surface forces, Int. J. Solids Struct, Vol. 44, pp: 4925-4941, 2007.
19. Malek A., Beidokhti R. S., Numerical solution for high order differential equations using a hybrid neural network- Optimization method, Applied Mathematics and Computation, Vol. 183, pp: 260-271, 2006.
20. Lee H., Kang I. S., Neural algorithms for solving differential equations, Journal of Computational Physics, Vol. 91, pp: 110-131, 1990.
21. Meade Jr A. J., Fernandez A. A., The numerical solution of linear ordinary differential equations by feedforward neural networks, Mathematical and Computer Modelling, Vol. 19, pp: 1-25, 1994.
22. Lagaris I. E., Likas A., Fotiadis D. I. Artificial neural networks for solving ordinary and partitial differential equations, IEEE Transactions on Neural Networks, Vol. 9, pp: 987-1000, 1998.
23. Guedri A., Tlili S., Merzoug B., Zeghloul A., An Artificial Neural Network Model for Predicting Mechanical Properties of CMn (V- Nb-Ti) Pipeline Steel in Industrial Production Conditions, International Review of Mechanical Engineering, IREME, Vol. 1 n. 6, pp. 666-674, 2007.
24. Kadi H. E., Crushing Prediction of Axially Loaded Rectangular Composite Tubes Using Artificial Neural Networks, International Review of Mechanical Engineering, IREME, Vol. 4 N. 7 pp. 952-956, 2010.
25. Ghalambaz M., Noghrehabadi A. R., Behrang M. A., Assareh E., Ghanbarzadeh A., Hedayat N., A Hybrid Neural Network and Gravitational Search Algorithm (HNNGSA) method to solve well known Wessinger's equation, World Academy of Science Engineering and Thechnology, Vol. 73, pp: 891-895, 2011.
26. D. Karaboga, An Idea Based On Honey Bee Swarm for Numerical Optimization, Technical Report TR06, Erciyes University, Engineering Faculty, Computer Engineering Department, 2005.
27. D. Karaboga B. Basturk, A powerful and efficient algorithm for numerical function optimization: artificial bee colony (ABC) algorithm, J Glob Optim, Vol. 39, pp: 459-471, 2007.
28. B. Akay, D. Karaboga, A modified Artificial Bee Colony algorithm for real-parameter optimization, Information Sciences 2010.
29. Ascher U., Mattheij, R., Russell, R, Numerical Solution of Boundary Value Problems for Ordinary Differential Equations, SIAM Classics in Applied Mathematics, Vol. 13, 1995.
30. Ascher U., Petzold, L, Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations. SIAM, Philadelphia. 1998.
31. Timoshenko S., Theory of Plates and Shells, (New York: McGraw Hill, 1978).