In this paper, the effect of size of an atomic force microscope (AFM) with an assembled cantilever probe (ACP) on resonant frequencies and their sensitivities are investigated using the strain gradient elasticity theory. The proposed ACP comprises a horizontal microcantilever, an extension and a tip located at the free end of the extension, which make the AFM capable of scanning the sample sidewall. First, the governing differential equation of motion and boundary conditions for dynamic analysis are obtained by a combination of the basic equations of the strain gradient elasticity theory and Hamilton principle. Afterwards, the flexural resonant frequency and sensitivity of the proposed AFM microcantilever are obtained numerically. The results of the proposed method are compared with those of modified couple stress and classical beam theories. The comparison shows that the difference between the results predicted by the strain gradient elasticity theory with those obtained by couple stress and classical beam theories become significant when the horizontal cantilever thickness comes approximately close to the material length scale parameter.
Karami mohammadi,A. and Abbasi,M. (2014). Investigation of the size effect on the vibrational behavior of an AFM microcantilever with a sidewall probe, using strain gradient elasticity theory. Modares Mechanical Engineering, 13(13), 90-99.
MLA
Karami mohammadi,A. , and Abbasi,M. . "Investigation of the size effect on the vibrational behavior of an AFM microcantilever with a sidewall probe, using strain gradient elasticity theory", Modares Mechanical Engineering, 13, 13, 2014, 90-99.
HARVARD
Karami mohammadi A., Abbasi M. (2014). 'Investigation of the size effect on the vibrational behavior of an AFM microcantilever with a sidewall probe, using strain gradient elasticity theory', Modares Mechanical Engineering, 13(13), pp. 90-99.
CHICAGO
A. Karami mohammadi and M. Abbasi, "Investigation of the size effect on the vibrational behavior of an AFM microcantilever with a sidewall probe, using strain gradient elasticity theory," Modares Mechanical Engineering, 13 13 (2014): 90-99,
VANCOUVER
Karami mohammadi A., Abbasi M. Investigation of the size effect on the vibrational behavior of an AFM microcantilever with a sidewall probe, using strain gradient elasticity theory. Modares Mechanical Engineering, 2014; 13(13): 90-99.
