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Han, Dong Hee;Kim, Il Kwang;Lee, Soo Il
- Transactions of the Korean Society of Mechanical Engineers A
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- v.39 no.5
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- pp.461-466
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- 2015
Atomic force microscopy (AFM) is powerful tool for determining properties of samples based on interactions between the sample surface and an approaching probe tip. In this study, we modeled the interactions between the sample and the tip of the AFM microcantilever as a single nonlinear spring with an equivalent stiffness element and simulated the dynamic behaviors of the AFM microcantilevers using the finite element method (FEM) and ANSYS software. With the simulation results, we analyzed the complex dynamic responses of the AFM cantilever using proper orthogonal decomposition (POD). In addition, we compared the simulation and experimental results using the same method. Consequently, we suggest an effective method to express the interaction between the tip and sample, and we confirm that the influence of the higher order model due to the interaction between the tip and sample is increased.
https://doi.org/10.3795/KSME-A.2015.39.5.461 인용 PDF KSCI

Hong, Sang-Hyuk;Lee, Soo-Il
- Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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- 2007.05a
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- pp.379-382
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- 2007
The proper orthogonal decomposition(POD) is used to the modal analysis of microcantilever of dynamic mode atomic force microscopy(AFM). The proper orthogonal modes(POM) are extracted from vibrating signals of microcantilever when it resonates and taps the sample. The POMs resemble the linear normal modes(LNM) of cantilever vibrating at each resonance frequency. Some of POMs in tapping microcantilever show quite different shapes from the POMs of the resonating microcantilever. Also this POMs can be applied to model for the complex nonlinear behavior of the dynamic mode AFM microcantilevers.
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Cho, Hong-Mo;Hong, Sang-Hyuk;Kwon, Won-Tae;Lee, Soo-Il
- Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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- 2007.05a
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- pp.264-268
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- 2007
Proper orthogonal decomposition(POD) is a method for extracting bases for modal decomposition from the ensemble of signals. We verified the connection of the proper orthogonal modes(POMs) and the linear normal modes(LNMs) through MATLAB simulation for the simple cantilever and AFM microcantilever models. Using the POMs, we can analyze and model effectively the dynamic mode of AFM microcantievers.
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