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- W2765432905 abstract "Dynamic 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." @default.
- W2765432905 created "2017-11-10" @default.
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- W2765432905 date "2017-07-01" @default.
- W2765432905 modified "2023-10-01" @default.
- W2765432905 title "Modeling of Cantilever Beam under Dissipative and Nonlinear Forces with Application to Multi-Resonant Atomic Force Microscopy" @default.
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- W2765432905 doi "https://doi.org/10.1016/j.ifacol.2017.08.1523" @default.
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