FEM analysis of the vibrational motion of oblique piezoelectric microcantilever in the vicinity of a sample surface in liquid

作者: Alireza Habibnejad Korayem , Moharam Habibnejad Korayem , Reza Ghaderi

DOI: 10.1016/J.PRECISIONENG.2015.05.002

关键词:

摘要: Abstract This article examines an oblique Microcantilever (MC) with extended piezoelectric layer in liquid. The study of hydrodynamic force MC which has been floated viscous fluid is considered as paramount importance. To model the Vibrational motion, Hamilton's principle used. For this purpose, motion equation modeled by considering continuous beam based on Euler–Bernoulli theory Furthermore, using Galerkin method and Newmark algorithm, differential equations solved. In modeling, inter-atomic forces between tip sample surface have addition to squeeze forces. simulation results illustrate a reduction sensitivity vibrational under effect during angularization MC. Moreover, that reducing distance from surface, Vibration amplitude decreases due increase force. At end, it shown time delay topography liquid substantially comparison air.

参考文章(29)
S. S. Quek, G. R. Liu, The Finite Element Method: A Practical Course ,(2013)
J Vázquez, M A Rivera, J Hernando, J L Sánchez-Rojas, Dynamic response of low aspect ratio piezoelectric microcantilevers actuated in different liquid environments Journal of Micromechanics and Microengineering. ,vol. 19, pp. 015020- ,(2009) , 10.1088/0960-1317/19/1/015020
S. C. Minne, S. R. Manalis, C. F. Quate, Parallel atomic force microscopy using cantilevers with integrated piezoresistive sensors and integrated piezoelectric actuators Applied Physics Letters. ,vol. 67, pp. 3918- 3920 ,(1995) , 10.1063/1.115317
Alireza Habibnejad Korayem, Moharam Habibnejad Korayem, Reza Ghaderi, Vibrational analysis of single-layered piezoelectric AFM microcantilever in amplitude mode by considering the capillary force European Physical Journal-applied Physics. ,vol. 68, pp. 30402- ,(2014) , 10.1051/EPJAP/2014140360
Shueei-Muh Lin, Effective dampings and frequency shifts of several modes of an inclined cantilever vibrating in viscous fluid Precision Engineering-journal of The International Societies for Precision Engineering and Nanotechnology. ,vol. 34, pp. 320- 326 ,(2010) , 10.1016/J.PRECISIONENG.2009.08.004
Chengkuo Lee, Toshihiro Itoh, Takahiro Ohashi, Ryutaro Maeda, Tadatomo Suga, Development of a piezoelectric self-excitation and self-detection mechanism in PZT microcantilevers for dynamic scanning force microscopy in liquid Journal of Vacuum Science & Technology B: Microelectronics and Nanometer Structures. ,vol. 15, pp. 1559- 1563 ,(1997) , 10.1116/1.589400
Christian Rankl, Vasilli Pastushenko, Ferry Kienberger, Cordula M Stroh, Peter Hinterdorfer, Hydrodynamic damping of a magnetically oscillated cantilever close to a surface Ultramicroscopy. ,vol. 100, pp. 301- 308 ,(2004) , 10.1016/J.ULTRAMIC.2003.12.014
H. G. Hansma, J. Vesenka, C. Siegerist, G. Kelderman, H. Morrett, R. L. Sinsheimer, V. Elings, C. Bustamante, P. K. Hansma, Reproducible Imaging and Dissection of Plasmid DNA Under Liquid with the Atomic Force Microscope Science. ,vol. 256, pp. 1180- 1184 ,(1992) , 10.1126/SCIENCE.256.5060.1180
N A Burnham, O P Behrend, F Oulevey, G Gremaud, P-J Gallo, D Gourdon, E Dupas, A J Kulik, H M Pollock, G A D Briggs, How does a tip tap Nanotechnology. ,vol. 8, pp. 67- 75 ,(1997) , 10.1088/0957-4484/8/2/004