Torsional frequency response of cantilever beams immersed in viscous fluids with applications to the atomic force microscope

2002 ◽  
Vol 92 (10) ◽  
pp. 6262-6274 ◽  
Author(s):  
Christopher P. Green ◽  
John E. Sader
2013 ◽  
Vol 378 ◽  
pp. 466-471
Author(s):  
Po Jen Shih ◽  
Shang Hao Cai

The dynamic behaviors of carbon nanotube probes applied in Atomic Force Microscope measurement are of interest in advanced nanoscalar topography. In this paper, we developed the characteristic equations and applied the model analysis to solve the eigenvalues of the microcantilever and the carbon nanotube. The eigenvalues were then used in the tapping mode system to predict the frequency responses against the tip-sample separations. It was found that the frequency drop steeply if the separation was less than certain distances. This instability of frequency is deduced from the jump of microcantilever or the jump of the carbon nanotube. Various lengths and binding angles of the carbon nanotube were considered, and the results indicated that the binding angle dominated the frequency responses and jumps.


1997 ◽  
Vol 82 (3) ◽  
pp. 966-979 ◽  
Author(s):  
Joseph A. Turner ◽  
Sigrun Hirsekorn ◽  
Ute Rabe ◽  
Walter Arnold

Sign in / Sign up

Export Citation Format

Share Document