Amirkabir University of Technology Amirkabir Journal of Mechanical Engineering 2008-6032 41 1 2009 08 23 Flexural Vibration of Atomic Force Microscope Cantilever with Dimensional Effects Flexural Vibration of Atomic Force Microscope Cantilever with Dimensional Effects 19 26 253 10.22060/mej.2009.253 FA Anoshirvan Farshidianfar Mohammad Hadi Mahdavi Hamid Dalir Journal Article 2014 03 16 Atomic Force microscope (AFM) is one of the powerful and useful tools in nanoscale science and<br />technologies with applications from surface characterization in material science, to the study of living<br />biological systems in their natural environment. AFM operate in three modes of contact, non-contact and<br />tapping mode. In this paper, by focusing on the development of a more comprehensive model of an AFM<br />micro-cantilever beam, considering the effects of mass and rotary inertia of the tip using Euler-Bernoulli<br />beam theory is considered. The comparison of the present results and the results of other investigators, which<br />has been done in case studies, generally shows a very good agreement. The results show that the effect of<br />mass and rotary inertia of the tip depending on its dimensions is important and should be considered. Finally,<br />the effects of cantilever inclination and tip height on the resonance frequencies are also examined. Atomic Force microscope (AFM) is one of the powerful and useful tools in nanoscale science and<br />technologies with applications from surface characterization in material science, to the study of living<br />biological systems in their natural environment. AFM operate in three modes of contact, non-contact and<br />tapping mode. In this paper, by focusing on the development of a more comprehensive model of an AFM<br />micro-cantilever beam, considering the effects of mass and rotary inertia of the tip using Euler-Bernoulli<br />beam theory is considered. The comparison of the present results and the results of other investigators, which<br />has been done in case studies, generally shows a very good agreement. The results show that the effect of<br />mass and rotary inertia of the tip depending on its dimensions is important and should be considered. Finally,<br />the effects of cantilever inclination and tip height on the resonance frequencies are also examined. https://mej.aut.ac.ir/article_253_c24cd76e1ce41366a4bbe8a49b02a028.pdf