Dependence of computed trajectory on step-size in a nonlinear dynamic system: an investigation into cutting tool dynamics |
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Authors: | Satishmohan T Bukkapatnam Soundar RT Kumara Akhlesh Lakhtakia |
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Affiliation: |
a Department of Industrial and Manufacturing Engineering, The Pennsylvania State University, PA, USA
b Department of Engineering Science and Mechanics, The Pennsylvania State University, PA, USA |
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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. |
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