Noise influenced elastic cantilever dynamics with nonlinear tip interaction forces

[1]  Balakumar Balachandran,et al.  Near-grazing dynamics of base excited cantilevers with nonlinear tip interactions , 2012 .

[2]  B. Balachandran,et al.  OFF-RESONANCE CANTILEVER DYNAMICS IN THE PRESENCE OF ATTRACTIVE AND REPULSIVE TIP INTERACTION FORCES , 2011 .

[3]  Eugenio Ruocco,et al.  A GENERALIZED ANALYTICAL APPROACH FOR THE BUCKLING ANALYSIS OF THIN RECTANGULAR PLATES WITH ARBITRARY BOUNDARY CONDITIONS , 2011 .

[4]  Subramanian Ramakrishnan,et al.  Energy localization and white noise-induced enhancement of response in a micro-scale oscillator array , 2010 .

[5]  Balakumar Balachandran,et al.  Utilizing nonlinear phenomena to locate grazing in the constrained motion of a cantilever beam , 2009 .

[6]  Ilya V. Kolmanovsky,et al.  Predictive energy management of a power-split hybrid electric vehicle , 2009, 2009 American Control Conference.

[7]  H. Dankowicz Nonlinear dynamics as an essential tool for non-destructive characterization of soft nanostructures using tapping-mode atomic force microscopy , 2006, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[8]  Stephen W. Howell,et al.  Nonlinear dynamics of microcantilevers in tapping mode atomic force microscopy: A comparison between theory and experiment , 2002 .

[9]  Ricardo Garcia,et al.  Dynamic atomic force microscopy methods , 2002 .

[10]  Grebogi,et al.  Grazing bifurcations in impact oscillators. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[11]  Arne Nordmark,et al.  Non-periodic motion caused by grazing incidence in an impact oscillator , 1991 .

[12]  P. Holmes,et al.  A periodically forced piecewise linear oscillator , 1983 .

[13]  B. Balachandran,et al.  Cantilever Dynamics With Attractive and Repulsive Tip Interactions , 2009 .

[14]  Balakumar Balachandran,et al.  A Review of Nonlinear Dynamics of Mechanical Systems in Year 2008 , 2008 .

[15]  R. Stark,et al.  Thermomechanical noise of a free v-shaped cantilever for atomic-force microscopy. , 2001, Ultramicroscopy.

[16]  Murti V. Salapaka,et al.  Experimental study of stochastic resonance in atomic force microscopes , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[17]  Murti V. Salapaka,et al.  Stochastic resonance in AFM's , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[18]  H. Butt,et al.  Calculation of thermal noise in atomic force microscopy , 1995 .

[19]  C. Gardiner Handbook of Stochastic Methods , 1983 .