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(Color online) (a) Continuous AFM microcantilever driven in the ith eigenmode by acoustic (piezo) excitation,, having linear mass density , Young’s modulus , area moment , and length . (b) The equivalent point-mass model representation has equivalent mass , equivalent stiffness , and equivalent base motion .
(Color online) (a) picket and (b) V-shaped cantilever (symmetric) geometries used in FEA modeling. Both levers have a thickness of , elastic modulus of , Poisson’s ratio of 0.3, and density of (Si), and the tips are assumed to be located at the center of the free end.
(Color online) Strain energy density contour plots and equivalent point-mass model parameters calculated from FEA (ANSYS V10.0) for a rectangular, picket and V-shaped cantilever, as well as the FIRAT probe ( diameter, thickness, elastic modulus of , Poisson’s ratio of 0.3, and density of ) (Ref. 3) and torsion probe for single molecule force spectroscopy (paddle: square and thick, two hinges: and thick Si) (Ref. 4). Tips are assumed to be located at the center of the FIRAT probe and the free end of the torsion probe pad.
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