Resonance Suppression on Nanoscale Viscoelasticity Measurement

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Abstract:

During the broadband viscoelasticity measurement process, when the frequency of the excitation force become high relative to the resonant frequency or the bandwidth of the instrument dynamics, the adverse instrument dynamics is motivated, which causes the cantilever resonance and generates large measurement errors in the measurement data. To solve this problem, an approach to suppress the cantilever resonance on the broadband viscoelasticity measurement is proposed. Firstly, Atomic force microscope (AFM) system dynamic is analyzed by using a dynamic signal analyzer (DSA) in the z-axis. And a notch filter is designed as a prefilter of the AFM system to filter the input drive voltage in order to offset the resonance peak in the AFM model. Secondly, an adaptive filter based on LMS is designed to further eliminate the residual cantilever resonance effects on the complex compliance of soft materials, referring to the Hertz contact model. Finally, the proposed approach is illustrated by implementing it to remove the cantilever resonance effects on the broadband viscoelasticity measurement of a polydimethylsiloxane (PDMS) sample using AFM.

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75-79

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June 2012

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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[1] H.-J.Butt, B. Cappella and M.Kappl. Force measurements with the atomic force microscope: Technique, interpretation and applications, J. Surf.Sci.Rep.59 (2005) 1-152.

DOI: 10.1016/j.surfrep.2005.08.003

Google Scholar

[2] R.S. Lake. Viscoelastic measurement techniques. J .Rev. Sci. Instrum, 75(2004) 797-810.

Google Scholar

[3] Zhonghua Xu, Qingze Zou and Ping Xie, Control-based approach to broadband viscoelastic spectroscopy PDMS example, American control conference.St.Louis, June.2009, 1652-1657

DOI: 10.1109/acc.2009.5160355

Google Scholar

[4] Z. Xu, K. Kim, Q. zou and P. Shrotriya, Broadband measurement of rate-dependent viscoelasticity at nanoscale using SPM:Poly example.J. Appl.Phys.Lett. 93(2008) pp.133-103

DOI: 10.1063/1.2990759

Google Scholar

[5] Anderson P, M .A. Grawal. Sub-synchronous resonance in the power system. IEEE Press, New York,1990.

Google Scholar

[6] SIMON.H. Adaptive filter theory, fourth ed., Electronics Industry Press, Beijing, 2003.

Google Scholar

[7] Lett,J. M.Valin, IB.Collings, Interference-normalized Least Mean Square algorithm, J.IEEE Signal Process, 12(2007) 988-991.

DOI: 10.1109/lsp.2007.908017

Google Scholar

[8] Han.B.M, Bae.B.Y, Ovaska S.J. Reference signal generator for active power filters using improved adaptive predictive filter, J .IEEE Trans on Industrial Electronics, 52(2005) 576-584.

DOI: 10.1109/tie.2005.844222

Google Scholar