TY - JOUR
T1 - Dependence of computed trajectory on step-size in a nonlinear dynamic system
T2 - An investigation into cutting tool dynamics
AU - Bukkapatnam, Satishmohan T.
AU - Kumara, Soundar R.T.
AU - Lakhtakia, Akhlesh
N1 - Funding Information:
The authors acknowledge the National Science Foundation for the support of this work under NSF Grant No. DDM-9223181.
Copyright:
Copyright 2016 Elsevier B.V., All rights reserved.
PY - 1995/8
Y1 - 1995/8
N2 - 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.
AB - 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.
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U2 - 10.1080/07408179508936768
DO - 10.1080/07408179508936768
M3 - Article
AN - SCOPUS:0029357401
VL - 27
SP - 519
EP - 529
JO - IIE Transactions (Institute of Industrial Engineers)
JF - IIE Transactions (Institute of Industrial Engineers)
SN - 2472-5854
IS - 4
ER -