1990
DOI: 10.1016/s0007-8506(07)61096-8
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Analysis of Linear and Nonlinear Chatter in Milling

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Cited by 139 publications
(60 citation statements)
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“…For the method proposed here, the main sources of error in the stability diagram calculation come from the modelling of the process, the tool-path discretization and the input parameters. The hypotheses assumed in the model for simplicity's sake introduce an error: the simplified non-trochoidal kinematic of the tool edges [39], the linear forces model or the relation between dynamic forces and dynamic displacements [40][41][42]. The stability algorithm can introduce an error in the solution, particularly if the single-frequency solution is used in interrupted milling.…”
Section: Discussionmentioning
confidence: 99%
“…For the method proposed here, the main sources of error in the stability diagram calculation come from the modelling of the process, the tool-path discretization and the input parameters. The hypotheses assumed in the model for simplicity's sake introduce an error: the simplified non-trochoidal kinematic of the tool edges [39], the linear forces model or the relation between dynamic forces and dynamic displacements [40][41][42]. The stability algorithm can introduce an error in the solution, particularly if the single-frequency solution is used in interrupted milling.…”
Section: Discussionmentioning
confidence: 99%
“…A more precise solution for the stability assessment of the milling process was formulated by Minis et al [8], by using Floquets theorem [9] and Fourier series, and determining the stability limits numerically using the Nyquist stability criterion. Budak and Altintas [10] extended this approach by proposing an analytical method for the stability prediction of milling, giving rise to a multi-frequency analysis, in which chatter vibration has several frequency components separated by the cutting frequency.…”
Section: State Of the Artmentioning
confidence: 99%
“…Therefore, it is very difficult to predict the workpiece behaviour, since the vibrations are so important that the tool doesn't remain in contact with the workpiece [11,12].…”
Section: Validation Testsmentioning
confidence: 99%