Title: Dynamic modelling, simulation and experiments of a micro-cutter with applications to cell perforation

Authors: Issam M. Bahadur; Christopher Yee Wong; Xinggang Jiang; James K. Mills

Addresses: Department of Mechanical and Industrial Engineering, Sultan Qaboos University, P.O. Box 33, Al Khod 123, Sultanate of Oman ' Department of Mechanical and Industrial Engineering, University of Toronto, Toronto, 5 King's College Road, Ontario M5S 3G8, Canada; Department of Electrical and Computer Engineering, Université de Sherbrooke ' UdeS, Sherbrooke, Quebec, Canada ' School of Mechanical Engineering, Beihang University, Beijing 100191, China ' Department of Mechanical and Industrial Engineering, University of Toronto, Toronto, 5 King's College Road, Ontario M5S 3G8, Canada

Abstract: The nonlinear three-dimensional dynamic equations of motion of a micro-cutter driven longitudinally at ultrasonic operating frequencies are derived using Kane's method. The micro-cutter is assumed to be immersed in a fluid, and in contact with an oocyte, which is to be perforated by the micro-cutter. The micro-cutter is modelled as an Euler-Bernoulli cantilever beam attached to a moving base. The shear and rotary inertia effects are neglected by considering a slender-shaped beam with homogeneous and isotropic material properties. It is assumed that there is no slip between the micro-cutter tip and the embryo membrane. The model presented demonstrates that the longitudinal excitation input of a micropipette results in excitation of out-of-plane, lateral motion due to the nonlinear dynamic coupling of the dynamics. Experimental results of membrane perforation are presented in the work supporting oocyte micro-cutter observations regarding suitable frequencies of excitation for effective oocyte membrane perforation.

Keywords: micro-cutter dynamic modelling; piezoelectric; micro-cutter; oocyte membrane perforation.

DOI: 10.1504/IJMA.2021.113721

International Journal of Mechatronics and Automation, 2021 Vol.8 No.1, pp.22 - 33

Received: 13 Oct 2018
Accepted: 23 Jan 2020
Published online: 19 Mar 2021 *

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