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首页> 外文期刊>Mechatronics, IEEE/ASME Transactions on >Nonlinear Dynamic Analysis of Atomic Force Microscopy Under Bounded Noise Parametric Excitation
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Nonlinear Dynamic Analysis of Atomic Force Microscopy Under Bounded Noise Parametric Excitation

机译：有界噪声参量激励下原子力显微镜的非线性动力学分析

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摘要

When the vibrating microcantilever in an atomic force microscope (AFM) is close to the sample surface, the nonlinear tip–sample interaction will greatly influence the dynamics of the cantilever. In this paper, the effect of the bounded noise parametric excitation on the nonlinear dynamic behavior of dynamic AFM system is investigated. The microcantilever is modeled by a single-lumped-mode approximation and the interactions between the microcantilever and sample are described by the Lennard–Jones (LJ) potential. Numerical simulations are carried out to study the coupled nonlinear dynamic system in terms of bifurcation diagram, Poincaré maps, largest Lyapunov exponent, phase portraits, and time histories in detail. Effects of the density of the random disturbance with bounded noise, material property, and contact angle of the meniscus force are analyzed and discussed. The results indicate that periodic and chaotic motions occur in the dynamic AFM system. It is demonstrated that the coupled dynamic system goes through a complex nonlinear behavior as the system parameters change and the effect of bounded noise cannot be ignored in the further design of an AFM.
机译：当原子力显微镜（AFM）中的振动微悬臂靠近样品表面时，尖端与样品之间的非线性相互作用将极大地影响悬臂的动力学。本文研究了有界噪声参数激励对动态AFM系统非线性动力学行为的影响。微悬臂梁通过单集总模式近似建模，微悬臂梁与样品之间的相互作用用Lennard-Jones（LJ）势来描述。通过分叉图，庞加莱图，最大李雅普诺夫指数，相画像和时间历史等方面的数值模拟来研究耦合的非线性动力系统。分析并讨论了随机扰动的密度对边界噪声，材料特性和弯月面力接触角的影响。结果表明动态AFM系统中发生周期性运动和混沌运动。结果表明，随着系统参数的变化，耦合动力系统会经历复杂的非线性行为，在进一步的AFM设计中不能忽略边界噪声的影响。

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