Nonlinear dynamic analysis and chaotic behavior in atomic force microscopy

Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference - DETC2005

Volumn 1 A, Issue , 2005, Pages 129-136

  Pishkenari, Hossein Nejat ^a   Jalili, Nader ^b   Alasty, Aria ^a   Meghdari, Ali ^a  

^a SHARIF UNIVERSITY OF TECHNOLOGY   (Iran)

^b South   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ATOMIC FORCE MICROSCOPY; DYNAMICS; FOURIER TRANSFORMS; PARAMETER ESTIMATION; VAN DER WAALS FORCES;

CHAOTIC MOTION; LUMPED-PARAMETERS MODEL; MELNIKOV THEORY; POINCARE MAPS;

CANTILEVER BEAMS;

EID: 33144463363     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/detc2005-84822     Document Type: Conference Paper

References (20)

1. Jalili, N. and Laxminarayana, K., 2004, "A Review of Atomic Force Microscopy Imaging Systems: Application to Molecular Metrology and Biological Sciences", International Journal of Mechatronics, 14 (8), pp. 907-945.
2. Goeken, M. and Kempf, M., 1999, "Microstructural Properties of Super alloys Investigated by Nanoindentations in an Atomic Force Microscope," ActaMater., 47(3), pp. 1043-1052.
3. Kempf, M., Goken, M. and Vehoff, H., 1998, "Nanohardness Measurements for Studying Local Mechanical Properties of Metals," Appl. Phys. A: Mater. Sci. Process., 66, pp. S843-S846.
4. Nagashima, N., Matsuoka, S. and Miyahara, K., 1996, "Nanoscopic Hardness Measurement by Atomic Force Microscope," JSME International Journal, Series A: Mechanics and Material Engineering, 39(3), pp. 456-462.
5. Gahlin, R. and Jacobson, S., 1998, "Novel Method to Map and Quantify Wear on a Micro-Scale," Wear, 222(2), pp. 93-102.
6. Miyahara, K., Nagashima, N., Ohmura, T. and Matsuoka, S., 1999, "Evaluation of Mechanical Properties in Nanometer Scale Using AFM-Based Nanoindentation Tester," Nanostruct. Mater., 12(5), pp. 1049-1052.
7. Sundararajan, S. and Bhushan, B., 2001, "Development of a Continuous Microscratch Technique in an Atomic Force Microscope and Its Application to Study Scratch Resistance of Ultrathin Hard Amorphous Carbon Coatings," J. Mater. Res., 16(2), pp. 437-445.
8. Chen, W., Ahmed, H. and Nakazoto, K., 1995, "Coulomb Blockade at 77 K in Nanoscale Metallic Islands in a Lateral Nanostructure," Appl. Phys. Lett., 66(24), p. 3383.
9. Klein, D. L., McEuen, P. L., Katari, J. E. B., Roth, R. and Alivisatos, A. P., 1996, "Approach to Electrical Studies of Single Nanocrystals," Appl. Phvs. Lett., 68(18), p. 2574.
10. Bezryadin, A., Dekker, C. and Schmid, G., 1997, "Electrostatic Trapping of Single Conducting Nanoparticles Between Nanoelectrodes," Appl. Phys. Lett., 71(9), pp. 1273-1275.
11. Jalili, N., Dadfarnia, M. and Dawson, D. M., 2004 "A Fresh Insight into the Microcantilever-Sample Interaction Problem in Non-Contact Atomic Force Microscopy", ASME Journal of Dynamic Systems, Measurements and Control, 126 (2), pp. 327-335.
12. Sebastian, A., Salapaka, M., Chen, D. and Cleveland, J., 1999, "Harmonic Analysis Based Modeling of Tapping-Mode AFM," Proceedings of the American Control Conference, San Diego, CA, pp. 232-236.
13. Basso, M., Giarre, L., Dahleh, M. and Mezic, I., 1998, "Numerical Analysis of Complex Dynamics in Atomic Force Microscopes," Proceedings of the IEEE Conference on Control Applications, Trieste, Italy, pp. 1026-1030.
14. Ashhab, M., Salapaka, M., Dahleh, M. and Mezic, I., 1999, "Dynamical Analysis and Control of Microcantilevers," Automatica, 35, pp. 1663-1670.
15. Hsu, S. and Fu, L. 1999, "Robust Output High-Gain Feedback Controllers for the Atomic Force Microscope Under High Data Sampling Rate, " Proceedings of the IEEE International Conference on Control Applications, Kohala Coast-Island, HI, pp. 1626-1631.
16. Fang,Y., Feemster, M. G., Dawson, D. M. Jalili, N., "Nonlinear Control Techniques For the Atomic Force Microscope System", Proceedings of the 2002 ASME International Mechanical Engineering Congress and Exposition, November 2002, New Orleans, LA, USA.
17. Perko, L., "Differential Equations and Dynamical Systems", Springer-Verlag (NY), 1991.
18. Wiggins, S., "Introduction to Applied Nonlinear Dynamical Systems and Chaos", Springer-Verlag (NY), 1990
19. Moon, F. C., "Chaotic and Fractal Dynamics", John Wiley & Sons, Inc., (NY), 1992
20. Ott, E., "Chaos in Dynamical Systems", Cambridge University Press, 2002.