Cylindrical milling tools: Comparative real case study for process stability

Stépàn, Gábor; Muñoa, Jokin; Insperger, Tamás; Surico, Michele; Bachrathy, Dániel; Dombóvári, Zoltán

doi:10.1016/j.cirp.2014.03.137

Cited by 49 publications

(16 citation statements)

References 14 publications

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“…For instance, there exist more complex models for the chip thickness calculation, such as the trochoidal tooth path model, which results in time-dependent delays (Faassen et al, 2007) and models including the vibrations of the tool-workpiece system that results in state-dependent delays in the model equations (Insperger et al, 2007;Bachrathy et al, 2011). In addition, general tool geometry can also be modeled such as ball end milling (Ozturk and Budak, 2010) or tools with varying pitch and with varying helix angles, which result in multiple and distributed delays (Sellmeier and Denkena, 2011;Stepan et al, 2014). An intriguing combination of point delay and time varying delay shows up in case of digital control of machining processes (Lehotzky and Insperger, 2012).…”

Section: Resultsmentioning

confidence: 99%

Regenerative delay, parametric forcing and machine tool chatter: A review

2015

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Two intrinsic component of machine tool chatter modeling is regenerative time delay and parametric forcing. The corresponding governing equations are therefore given in the form of delay-differential equations with time-periodic coefficients. In this paper, a brief review is given on the mechanism of these two effects, and recent numerical techniques from the literature are categorized and discussed.

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Section: Resultsmentioning

confidence: 99%

Regenerative delay, parametric forcing and machine tool chatter: A review

2015

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“…In spite of the wide spectrum of the available efficient numerical techniques, the predicted stability lobe diagrams often do not match experimental cutting tests [29]. One reason for this can be identified in the limitations of models of machine tool chatter.…”

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confidence: 98%

“…Typically, five to ten measurements are performed and their average is used for the stability calculation [29].…”

Section: Case Studymentioning

confidence: 99%

Robust stability analysis of machining operations

Hajdu

Insperger

Stépàn

2016

Int J Adv Manuf Technol

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Prediction of machine tool chatter requires the characterization of dynamic of the machine-toolworkpiece system by means of frequency response functions (FRFs). Uncertainties of the measured FRFs result in uncertainties of the calculated stability diagrams, therefore robustness of stability prediction against parameter perturbations is of high importance. Although there exist methods to determine robust stability in terms of stability radii, these methods either give a conservative estimate of the real uncertainties or are limited to perturbations of a few modal parameters, only. In this paper, a frequency-domain approach is presented to determine robust stability boundaries using the measured FRFs directly without any modal parameter identification. The method is based on an envelope fitting around the measured FRFs combined with some considerations of the single-frequency method. The application of the method is demonstrated in case of a turning operation, where the machine tool structure is characterized by a series of FRF measurements.

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“…Time delay also plays an important role in contact problems such as the "shimmy motion" of wheels [8]. Machine tool vibrations are also explained by the so-called regenerative delay (for details, see Chapter 4.4 in [9] or [10,11]). In the above examples, time delay typically has a destabilizing effect, which is manifested as unwanted vibrations or oscillations around the desired steady-state motion.…”

Section: Introductionmentioning

confidence: 99%

A pseudospectral tau approximation for time delay systems and its comparison with other weighted‐residual‐type methods

Lehotzky

Insperger

2016

Numerical Meth Engineering

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This paper presents a method which applies pseudospectral tau approximation for retarded functional differential equations (RFDEs). The goal is to construct a system of ordinary differential equations (ODEs), which provides a finite dimensional approximation of the original RFDE. The method can be used to determine approximate stability diagrams for RFDEs. Thorough numerical case studies show that the rightmost characteristic roots of the ODE approximation converge to the rightmost characteristic roots of the original RFDE. Application of the method to time-periodic RFDEs is also demonstrated, and the convergence of the stability boundaries is verified numerically. The method is compared with recently developed highly efficient numerical methods: the pseudospectral collocation (also called Chebyshev spectral continuous-time approximation), the spectral Legendre tau method and the spectral element method. The comparison is based on the stability analysis of three linear autonomous RFDEs. The efficiency of the methods is measured by the convergence rate of stability boundaries in the space of system parameters, by the convergence rate of the rightmost characteristic exponent and by the computation time of the stability charts.

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Cylindrical milling tools: Comparative real case study for process stability

Cited by 49 publications

References 14 publications

Regenerative delay, parametric forcing and machine tool chatter: A review

Regenerative delay, parametric forcing and machine tool chatter: A review

Robust stability analysis of machining operations

A pseudospectral tau approximation for time delay systems and its comparison with other weighted‐residual‐type methods

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