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.
Original language | English |
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Pages (from-to) | 22-33 |
Number of pages | 12 |
Journal | International Journal of Mechatronics and Automation |
Volume | 8 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2021 |
Keywords
- Micro-cutter
- Micro-cutter dynamic modelling
- Oocyte membrane perforation
- Piezoelectric
ASJC Scopus subject areas
- Control and Systems Engineering
- Computational Mechanics
- Industrial and Manufacturing Engineering
- Computational Mathematics
- Artificial Intelligence
- Electrical and Electronic Engineering