文章基本信息

标题：Modeling of Cantilever Beam under Dissipative and Nonlinear Forces with Application to Multi-Resonant Atomic Force Microscopy
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作者：Sergey Belikov ; Sergei Magonov
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2017
卷号：50
期号：1
页码：8654-8661
DOI：10.1016/j.ifacol.2017.08.1523
语种：English
出版社：Elsevier
摘要：AbstractDynamic modes of an Atomic Force Microscope (AFM) can be modeled as a cantilever beam excited near one or more resonant frequencies described by the Euler-Bernoulli PDE with additional damping and controlled excitation. The PDE is equivalent to a series of coupled nonlinear ODEs; each ODE defines its resonant frequency. Using the Krylov-Bogoliubov-Mitropolsky (KBM) averaging technique, these ODEs can be approximated by asymptotic amplitude-phase multi-resonant dynamics. We present the PDE with parameters estimated by AFM measurements, derive the asymptotic multi-resonant dynamics and discuss perspective nomenclature of AFM multi-resonant modes, their control, and implementation that extends single-resonant modes.
关键词：KeywordsAtomic Force MicroscopyModelingVibration ControlMicroNano Mechatronic Systems