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

Issam M. Bahadur, Christopher Yee Wong, Xinggang Jiang, James K. Mills*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)22-33
Number of pages12
JournalInternational Journal of Mechatronics and Automation
Issue number1
Publication statusPublished - 2021
Externally publishedYes


  • 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


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