Effect of Contact Position and Tip Properties on the Flexural Vibration Responses of Atomic Force Microscope Cantilevers

Abbasi, M.; Mohammadi, A. Karami
March 2009
International Review of Mechanical Engineering;Mar2009, Vol. 3 Issue 2, p196
Academic Journal
The characteristic equation of the flexural vibration of an AFM cantilever with different contact position is derived. Because the tip is not exactly located at one end of the cantilever, the cantilever is modeled as two beams. The effects of tip length, effective mass, contact position and normal contact stiffness on the resonant frequency of the flexural vibration of the cantilever for the first four modes has been analyzed. The results shows that to increase the effective mass or tip length, the resonant frequency of the cantilever is decreased but effect of effective mass on the resonant frequency of the cantilever is opposite of the effect of tip length. The resonant frequency is free resonant frequency for very low values of normal contact stiffness. Whatever the degree of modes exceeded the resonant frequency is free resonant frequency for more low values of normal contact stiffness and effect of normal contact stiffness on the resonant frequency of the cantilever happened in higher value of normal contact stiffness.


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