Periodic solutions of a tapping mode cantilever in an Atomic Force Microscope with harmonic excitation
Resumen:
In this paper, we establish the existence and multiplicity for periodic solutions of the nonlinear system associated with a tapping mode cantilever Atomic Force Microscope (AFM) with Lennard-Jones potential and an external harmonic excitation. The technique used to solve the nonlinear system is based in the classical nonlinear technique of lower and upper solutions in reverse order. Finally, we show some numerical simulations using the Poincaré map to present regions where the existence is guaranteed.
| 2022 | |
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Periodic solution Cantilever vibrations Atomic Force Microscope Lower and upper solutions Singularities Ciencias Naturales y Exactas Matemáticas Matemática Aplicada |
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| Inglés | |
| Universidad Tecnológica | |
| UTEC en REDI | |
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https://hdl.handle.net/20.500.12381/3965
https://doi.org/10.1016/j.cnsns.2022.106396 |
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| Acceso abierto | |
| Reconocimiento-NoComercial-SinObraDerivada 4.0 Internacional. (CC BY-NC-ND) |
