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首页> 美国卫生研究院文献>Sensors (Basel Switzerland) >Nonlinear Dynamics and Chaos of Microcantilever-Based TM-AFMs with Squeeze Film Damping Effects
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Nonlinear Dynamics and Chaos of Microcantilever-Based TM-AFMs with Squeeze Film Damping Effects

机译：具有挤压膜阻尼效应的基于微悬臂梁的TM-AFM的非线性动力学和混沌

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摘要

In Atomic force microscope (AFM) examination of a vibrating microcantilever, the nonlinear tip-sample interaction would greatly influence the dynamics of the cantilever. In this paper, the nonlinear dynamics and chaos of a tip-sample dynamic system being run in the tapping mode (TM) were investigated by considering the effects of hydrodynamic loading and squeeze film damping. The microcantilever was modeled as a spring-mass-damping system and the interaction between the tip and the sample was described by the Lennard-Jones (LJ) potential. The fundamental frequency and quality factor were calculated from the transient oscillations of the microcantilever vibrating in air. Numerical simulations were carried out to study the coupled nonlinear dynamic system using the bifurcation diagram, Poincaré maps, largest Lyapunov exponent, phase portraits and time histories. Results indicated the occurrence of periodic and chaotic motions and provided a comprehensive understanding of the hydrodynamic loading of microcantilevers. It was demonstrated that the coupled dynamic system will experience complex nonlinear oscillation as the system parameters change and the effect of squeeze film damping is not negligible on the micro-scale.
机译：在振动微悬臂梁的原子力显微镜（AFM）检查中，非线性尖端-样品相互作用将极大地影响悬臂梁的动力学。在本文中，通过考虑流体动力载荷和挤压膜阻尼的影响，研究了在攻丝模式（TM）下运行的尖端样本动力学系统的非线性动力学和混沌。将微悬臂梁建模为弹簧-质量阻尼系统，并用Lennard-Jones（LJ）势描述尖端与样品之间的相互作用。基本频率和品质因数是根据微悬臂梁在空气中振动的瞬态振荡计算得出的。使用分岔图，庞加莱图，最大的李雅普诺夫指数，相画像和时间历史进行了数值模拟，以研究耦合的非线性动力系统。结果表明发生了周期性运动和混沌运动，并提供了对微悬臂梁水动力载荷的全面理解。结果表明，随着系统参数的变化，耦合动力系统将经历复杂的非线性振荡，并且在微观尺度上，压膜​​阻尼的影响不可忽略。

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