原子力显微镜微悬臂梁杨氏模量动态测试方法
Dynamic test method for Young’s Modulus of cantilevers in atomic force microscopy
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摘要: 原子力显微镜微悬臂梁是微纳米领域重要的微力传感器,而微悬臂梁的杨氏模量又是决定其力学性能的重要参数。由于微悬臂梁的尺寸处于微米级,有些特征尺寸甚至达到纳米级,常规的测试结构材料特性的检测方法已经难以满足需求,急需研究新的测试方法和装置对微悬臂梁的机械特性进行研究和分析。本文提出了一种基于微悬臂梁振动固有频率测试的杨氏模量测试方法。使用本方法时,首先建立待测微悬臂梁在空气中的振动模型,并使用数值仿真的方法计算结构尺寸相同但杨氏模量不同的各种微悬臂梁在空气中的振动固有频率,然后实际测量微悬臂梁的振动固有频率,和实验结果最接近的仿真结果所对应的杨氏模量参数就是待测微悬臂梁的杨氏模量。本文最后对Mikromasch公司生产的NSC型探针的杨氏模量进行了测试,实验结果证实了本文提出的方法的正确性。Abstract: Micro cantilevers in atomic force microscopy are important force sensors in nano research,and the young’s modulus is one of the most important parameters of the cantilevers.Normal testing methods are not suitable for the young’s modulus detecting of micro cantilevers according to the strict scale of the cantilevers,and new methods are needed to the study of micro cantilevers.A new method for detecting of young’s modulus of micro cantilevers based on combining the numerical simulation and frequency measurements is presented in this paper.The new method involves two steps,the first step is developing the vibration model of the micro cantilever studied immersed in air and analysis the vibration behaviour of the corresponding cantilevers with the same geometry but different young’s modulus.The second step is measuring the natural frequency of the micro cantilever studied experimentally and compare the experimental results with the numerical results to determine the young’s modulus of the cantilever.Experiments on a NSC cantilever have been done to validate the method presented in this paper.
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