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Javidi, Reza, Haghshenas Gorgani, Hamid, Mahdavi Adeli, Mohsen. (1398). Size-dependent on vibration and flexural sensitivity of atomic force microscope. , 50(1), 191-196. doi: 10.22059/jcamech.2018.250335.233
Reza Javidi; Hamid Haghshenas Gorgani; Mohsen Mahdavi Adeli. "Size-dependent on vibration and flexural sensitivity of atomic force microscope". , 50, 1, 1398, 191-196. doi: 10.22059/jcamech.2018.250335.233
Javidi, Reza, Haghshenas Gorgani, Hamid, Mahdavi Adeli, Mohsen. (1398). 'Size-dependent on vibration and flexural sensitivity of atomic force microscope', , 50(1), pp. 191-196. doi: 10.22059/jcamech.2018.250335.233
Javidi, Reza, Haghshenas Gorgani, Hamid, Mahdavi Adeli, Mohsen. Size-dependent on vibration and flexural sensitivity of atomic force microscope. , 1398; 50(1): 191-196. doi: 10.22059/jcamech.2018.250335.233

Size-dependent on vibration and flexural sensitivity of atomic force microscope

Journal of Computational Applied Mechanics
مقاله 27، دوره 50، شماره 1، شهریور 2019، صفحه 191-196    اصل مقاله (645.37 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22059/jcamech.2018.250335.233
نویسندگان
Reza Javidi1؛ Hamid Haghshenas Gorgani2؛ Mohsen Mahdavi Adeli* 3
1School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran
2Engineering Graphics Center, Sharif University of Technology, Tehran, Iran
3Department of Mechanical Engineering, Sousangerd Branch, Islamic Azad University, Sousangerd, Iran
چکیده
In this paper, the free vibration behaviors and flexural sensitivity of atomic force microscope cantilevers with small-scale effects are investigated. To study the small-scale effects on natural frequencies and flexural sensitivity, the consistent couple stress theory is applied. In this theory, the couple stress is assumed skew-symmetric. Unlike the classical beam theory, the new model contains a material-length-scale parameter and can capture the size effect. For this purpose, the Euler–Bernoulli beam theory is used to develop the AFM cantilever. The tip interacts with the sample that is modeled by a spring with constant of. The equation of motion is obtained through a variational formulation based on Hamilton’s principle. In addition, the analytical expressions for the natural frequency and sensitivity are also derived. At the end, some numerical results are selected to study the effects of material-length-scale parameter and dimensionless thickness on the natural frequency and flexural sensitivity.
کلیدواژه‌ها
consistent couple stress theory؛ atomic force microscope (AFM)؛ Euler–Bernoulli beam؛ Hamilton’s principle؛ Sensitivity
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