Volume 21, Issue 1 (January 2021)                   Modares Mechanical Engineering 2021, 21(1): 29-37 | Back to browse issues page

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a_sadeghi@damavandiau.ac.ir. Modeling of Non-Linear Dynamic Behavior of Tapered Atomic Force Microscope Cantilevers Immersed in Different Liquids Based on Theoretical and Experimental Methods. Modares Mechanical Engineering 2021; 21 (1) :29-37
URL: http://mme.modares.ac.ir/article-15-49389-en.html
Abstract:   (953 Views)
In this paper, the non-linear dynamic behavior of immersed AFM micro cantilever in liquid has been modeled. To increase the accuracy of the theoretical model, all necessary details for cantilever and sample surface have been taken into account. As for the theoretical model, the Timoshenko beam theory which takes the rotatory inertia and shear deformation effects into consideration has been adopted. For modeling the vibrational system, cantilever thickness, cantilever length and breadth, the angle between cantilever and sample surface, normal contact stiffness, lateral contact stiffness, tip height, breadth taper ratio, height taper ratio, time parameter and viscosity of the liquids have been considered. Differential quadrature method (DQM) has been used for solving the differential equations. During the investigation, the softening behavior was observed for all cases. Here, water, methanol, acetone and carbon tetrachloride has been supposed as immersion environments. Results show that increasing the liquid density reduces the resonant frequency. Time variable does not have any considerable effect on the non-linear resonant frequency. Theoretical modeling has been compared for a rectangular AFM cantilever with experimental works in both of the contact and non-contact modes in air and water environments. Results show good agreement.
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Article Type: Original Research | Subject: Impact Mechanics
Received: 2021/01/21 | Accepted: 2021/01/19 | Published: 2021/01/19

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