Title of article :
Bifurcation analysis of a microcantilever in AFM system
Author/Authors :
Pai، نويسنده , , Neng-Sheng and Wang، نويسنده , , Cheng-Chi and Lin، نويسنده , , David T.W.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2010
Pages :
15
From page :
1353
To page :
1367
Abstract :
The atomic force microscope system (AFM) has become a popular and useful instrument to measure the intermolecular forces with atomic resolution that can be applied in electronics, biological analysis, materials, semiconductors, etc. This paper studies the bifurcation phenomenon and complex nonlinear dynamic behavior of the probe tip between the sample and microcantilever of an atomic force microscope using the differential transformation method. The dynamic behavior of the probe tip is characterized with reference to bifurcation diagrams, phase portraits, power spectra, Poincaré maps, and maximum Lyapunov exponent plots produced using the time-series data obtained from differential transformation method. The results indicate that the probe tip behavior is significantly dependent on the magnitude of the vibrational amplitude. Specifically, the probe tip motion changes from T-periodic to 3T-periodic, then from 6T-periodic to multi-periodic, and finally to chaotic motion with windows of periodic motion as the vibrational amplitude is increased from 0 to 5.0. Furthermore, it is demonstrated that the differential transformation method is in good agreement for the considered system.
Keywords :
Microcandilever , Bifurcation , Chaotic motion , AFM
Journal title :
Journal of the Franklin Institute
Serial Year :
2010
Journal title :
Journal of the Franklin Institute
Record number :
1543667
Link To Document :
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