Dependence of computed trajectory on step-size in a nonlinear dynamic system: An investigation into cutting tool dynamics

Satishmohan T. Bukkapatnam, Soundar R.T. Kumara, Akhlesh Lakhtakia

Research output: Contribution to journalArticle

4 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)519-529
Number of pages11
JournalIIE Transactions (Institute of Industrial Engineers)
Issue number4
StatePublished - Aug 1995


All Science Journal Classification (ASJC) codes

  • Industrial and Manufacturing Engineering

Cite this