Abstract
The nonlinear behaviour of the turning process is analysed, which is described by a one degree-of-freedom dynamical system. The model takes the form of a delay differential equation that is non-smooth when the cutting tool leaves contact with the surface. The delay equation is approximated by means of a power series with respect to the delay to reveal the geometric structure of the relevant dynamics in a low dimensional phase space. The bifurcation diagram of the non-smooth system is calculated and compared to the existing theoretical and experimental results of the literature.
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CITATION STYLE
Beri, B., & Stepan, G. (2020). Approximated Dynamics of Chatter in Turning Processes. In Nonlinear Dynamics of Structures, Systems and Devices - Proceedings of the 1st International Nonlinear Dynamics Conference, NODYCON 2019 (pp. 463–470). Springer Nature. https://doi.org/10.1007/978-3-030-34713-0_46
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