In-process impulse response of milling to identify stability properties by signal processing

In this work we present a quantitative measurement-based method to describe the stability behaviour of a periodic dynamical system. In-process response for impulse during milling is analysed to provide operational stability prediction. The proposed method combines chatter detection techniques with t...

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Bibliographic Details
Published in:Journal of sound and vibration 2022-06, Vol.527, p.116849, Article 116849
Main Authors: Kiss, Adam K., Hajdu, David, Bachrathy, Daniel, Stepan, Gabor, Dombovari, Zoltan
Format: Article
Language:English
Subjects:
Chatter
Chatter detection
Differential equations
Dynamic stability
Dynamical systems
Floquet multiplier
Impulse response
In-process impulse response
Laboratory tests
Milling
Milling (machining)
Multipliers
Numerical analysis
Parameters
Signal processing
Stability
Stability analysis
Systems stability
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Summary:In this work we present a quantitative measurement-based method to describe the stability behaviour of a periodic dynamical system. In-process response for impulse during milling is analysed to provide operational stability prediction. The proposed method combines chatter detection techniques with the theory of time-periodic delay differential equations applied for general milling operations. Signal processing based on dynamic modal decomposition approach not only presents qualitative properties (like stability/instability) but also quantifies a measure of stability through the determination of the Floquet multipliers. The corresponding monodromy operator of the milling process is approximated from the measured system’s response during machining operation. By changing the technological parameters, the variation of the modulus of the Floquet multipliers can be monitored. The stability limit can precisely be interpolated with the unitary multiplier; furthermore, the stability limit can be extrapolated while the manufacturing parameters remain in the chatter-free region. The presented approach is validated by numerical results and laboratory tests. •Measurement-based method to quantify stability of milling operation.•In-process impulse response is analysed to provide operational stability prediction.•It combines chatter detection techniques with the theory of time-periodic systems.•Extrapolation of stability limit opens ways for efficient cutting parameter optimization.•Results are supported by theoretical, numerical and experimental parts.
ISSN:0022-460X
1095-8568
DOI:10.1016/j.jsv.2022.116849