Dependence of computed trajectory on step-size in a nonlinear dynamic system: an investigation into cutting tool dynamics Academic Article uri icon

abstract

  • The nonlinear model of an orthogonal cutting process devised by Grabec is studied to demonstrate the importance of choosing an appropriate step-size and evolutionary algorithm for numerically integrating a system of nonlinear differential equations. Two different algorithms are used for computing the system trajectory, and the dependence of the phase portrait on the step-size is shown. A qualitative understanding to connect the proper step-size and the system nonlinearity is established. © 1995 Taylor & Francis Group, LLC.

author list (cited authors)

  • Bukkapatnam, S. T., Kumara, S., & Lakhtakia, A.

citation count

  • 4

publication date

  • August 1995