Robust stability of milling operations based on pseudospectral approach

The prediction of chatter-free machining parameters is not reliable for industrial applications without guaranteed robustness against modeling uncertainties. Measurement inaccuracies, fitting uncertainties, simplifications and modeling errors typically lead to a mismatch between the mathematical mod...

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Published in:International journal of machine tools & manufacture Vol. 149; p. 103516
Main Authors: Hajdu, David, Borgioli, Francesco, Michiels, Wim, Insperger, Tamas, Stepan, Gabor
Format: Journal Article
Language:English
Published: Elsevier Ltd 01-02-2020
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Abstract The prediction of chatter-free machining parameters is not reliable for industrial applications without guaranteed robustness against modeling uncertainties. Measurement inaccuracies, fitting uncertainties, simplifications and modeling errors typically lead to a mismatch between the mathematical model and the real physical system. This paper presents the robust stability analysis of milling operations based on a pseudospectral approach to take into account the effect of bounded parametric uncertainties both in the cutting coefficients and in the modal parameters. In order to make the predictions more accurate, the operational modal analysis of the spindle during rotation was conducted. The natural frequencies and damping ratios of the dominant vibration modes were identified from the impact tests of the rotating tool at different spindle speeds. The uncertainties of the fitted parameters were included in the computation of the pseudospectral radius of the monodromy operator of the time-periodic system. The solver is tested in a case study and experimental chatter tests are also included for demonstration purposes. [Display omitted] •A robust pseudospectral method is presented for milling operations considering uncertainties in both modal parameters and cutting coefficients.•The stability analysis is based on a collocation method using Chebyshev polynomials.•Modal parameters of the rotating spindle are determined by operational modal analysis.•A case study with experimental chatter tests is included.
AbstractList The prediction of chatter-free machining parameters is not reliable for industrial applications without guaranteed robustness against modeling uncertainties. Measurement inaccuracies, fitting uncertainties, simplifications and modeling errors typically lead to a mismatch between the mathematical model and the real physical system. This paper presents the robust stability analysis of milling operations based on a pseudospectral approach to take into account the effect of bounded parametric uncertainties both in the cutting coefficients and in the modal parameters. In order to make the predictions more accurate, the operational modal analysis of the spindle during rotation was conducted. The natural frequencies and damping ratios of the dominant vibration modes were identified from the impact tests of the rotating tool at different spindle speeds. The uncertainties of the fitted parameters were included in the computation of the pseudospectral radius of the monodromy operator of the time-periodic system. The solver is tested in a case study and experimental chatter tests are also included for demonstration purposes. [Display omitted] •A robust pseudospectral method is presented for milling operations considering uncertainties in both modal parameters and cutting coefficients.•The stability analysis is based on a collocation method using Chebyshev polynomials.•Modal parameters of the rotating spindle are determined by operational modal analysis.•A case study with experimental chatter tests is included.
ArticleNumber 103516
Author Hajdu, David
Michiels, Wim
Borgioli, Francesco
Insperger, Tamas
Stepan, Gabor
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  givenname: Francesco
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  surname: Stepan
  fullname: Stepan, Gabor
  organization: Department of Applied Mechanics, Budapest University of Technology and Economics, H-1111 Budapest, Hungary
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Cites_doi 10.1016/j.jsv.2013.09.043
10.1007/s40436-018-0230-0
10.1016/j.ijmachtools.2008.10.008
10.1016/j.ijmachtools.2014.09.014
10.1016/j.ijmachtools.2012.05.002
10.1007/s11071-016-3019-3
10.1115/1.3124088
10.1007/s00170-016-9044-z
10.23919/ECC.2018.8550382
10.1016/j.jsv.2007.11.006
10.1115/1.4007466
10.1016/j.jmapro.2017.09.015
10.1016/j.procir.2018.08.260
10.1137/120862399
10.1016/j.jmapro.2013.08.005
10.1007/s00170-016-8672-7
10.1016/j.ijmachtools.2011.02.002
10.1002/nme.3122
10.1016/j.ijmachtools.2019.01.002
10.3311/pp.me.2012-2.01
10.1007/s00170-016-8523-6
10.1115/1.2801317
10.1137/110856113
10.1016/j.cirp.2019.04.035
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Keywords Uncertainty
Robustness
Collocation
Pseudospectral method
Chatter
Language English
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References Guglielmi, Lubich (b26) 2013; 34
Butcher, Bobrenkov, Bueler, Nindujarla (b23) 2009; 4
Huang, Hu, Zhang, Lv (b10) 2016; 87
Huang, Zhang, Lv (b11) 2016; 86
Taylor (b4) 1907
Lehotzky, Insperger, Khasawneh, Stepan (b22) 2017; 89
Stepan, Beri, Miklos, Wohlfart, Bachrathy, Porempovics, Toth, Takacs (b29) 2019; 68
Budak, Altintas (b32) 1998; 120
Kurdi, Schmitz, Haftka, Mann (b7) 2005
Löser, Otto, Ihlenfeldt, Radons (b28) 2018; 6
Özşahin, Budak, Özgüven (b30) 2015; 89
Khasawneh, Mann (b21) 2011; 87
F. Borgioli, W. Michiels, Computing the distance to instability for delay systems with uncertainties in the system matrices and in the delay terms, in: Proceedings of the (ECC), Limassol, Cyprus
Zhang, Zhu, Zhang, Ding, Xiong (b8) 2012; 61
Borgioli, Hajdu, Insperger, Stepan, Michiels (b19) 2019
Liu, Meng, Liu, Zhang (b9) 2016; 87
Takács, Wohlfart, Miklós, Krajnyák, Tóth, Stépán (b27) 2018; 77
Bachrathy, Stépán (b33) 2012; 56
Dombovari, Stepan (b16) 2012; 134
Farkas (b20) 1994
Tobias (b2) 1965
G. Duncan, M. Kurdi, T.L. Schmitz, J.P. Snyder, Uncertainty propagation for selected analytical milling stability limit analyses, in: 34th North American Manufacturing Research Conference, 2006.
Graham, Mehrpouya, Park (b13) 2013; 15
Hajdu, Insperger, Bachrathy, Stepan (b14) 2017; 30
Dombovari, Iglesias, Zatarain, Insperger (b18) 2011; 51
Kuljanic, Sortino, Totis (b31) 2008; 312
Totis (b12) 2009; 49
.
Altintas (b1) 2012
Totis, Insperger, Sortino, Stépán (b17) 2019; 139
Michiels, Guglielmi (b25) 2012; 34
Tlusty, Spacek (b3) 1954
Insperger, Stepan (b5) 2011
Totis, Albertelli, Sortino, Monno (b24) 2014; 333
Graham (10.1016/j.ijmachtools.2019.103516_b13) 2013; 15
Budak (10.1016/j.ijmachtools.2019.103516_b32) 1998; 120
Hajdu (10.1016/j.ijmachtools.2019.103516_b14) 2017; 30
Tlusty (10.1016/j.ijmachtools.2019.103516_b3) 1954
Stepan (10.1016/j.ijmachtools.2019.103516_b29) 2019; 68
Dombovari (10.1016/j.ijmachtools.2019.103516_b16) 2012; 134
Guglielmi (10.1016/j.ijmachtools.2019.103516_b26) 2013; 34
Liu (10.1016/j.ijmachtools.2019.103516_b9) 2016; 87
Kurdi (10.1016/j.ijmachtools.2019.103516_b7) 2005
Butcher (10.1016/j.ijmachtools.2019.103516_b23) 2009; 4
Zhang (10.1016/j.ijmachtools.2019.103516_b8) 2012; 61
Özşahin (10.1016/j.ijmachtools.2019.103516_b30) 2015; 89
Tobias (10.1016/j.ijmachtools.2019.103516_b2) 1965
Michiels (10.1016/j.ijmachtools.2019.103516_b25) 2012; 34
Huang (10.1016/j.ijmachtools.2019.103516_b10) 2016; 87
Farkas (10.1016/j.ijmachtools.2019.103516_b20) 1994
Totis (10.1016/j.ijmachtools.2019.103516_b17) 2019; 139
Borgioli (10.1016/j.ijmachtools.2019.103516_b19) 2019
Dombovari (10.1016/j.ijmachtools.2019.103516_b18) 2011; 51
Löser (10.1016/j.ijmachtools.2019.103516_b28) 2018; 6
Kuljanic (10.1016/j.ijmachtools.2019.103516_b31) 2008; 312
10.1016/j.ijmachtools.2019.103516_b15
Lehotzky (10.1016/j.ijmachtools.2019.103516_b22) 2017; 89
Insperger (10.1016/j.ijmachtools.2019.103516_b5) 2011
Taylor (10.1016/j.ijmachtools.2019.103516_b4) 1907
Khasawneh (10.1016/j.ijmachtools.2019.103516_b21) 2011; 87
Totis (10.1016/j.ijmachtools.2019.103516_b24) 2014; 333
10.1016/j.ijmachtools.2019.103516_b6
Huang (10.1016/j.ijmachtools.2019.103516_b11) 2016; 86
Takács (10.1016/j.ijmachtools.2019.103516_b27) 2018; 77
Totis (10.1016/j.ijmachtools.2019.103516_b12) 2009; 49
Altintas (10.1016/j.ijmachtools.2019.103516_b1) 2012
Bachrathy (10.1016/j.ijmachtools.2019.103516_b33) 2012; 56
References_xml – start-page: 387
  year: 2005
  end-page: 395
  ident: b7
  article-title: A numerical study of uncertainty in stability and surface location error in high-speed milling
  publication-title: Manuf. Eng. Mater. Handl. Parts A B
  contributor:
    fullname: Mann
– volume: 34
  start-page: A2366
  year: 2012
  end-page: A2393
  ident: b25
  article-title: An iterative method for computing the pseudospectral abscissa for a class of nonlinear eigenvalue problems
  publication-title: SIAM J. Sci. Comput.
  contributor:
    fullname: Guglielmi
– volume: 68
  start-page: 405
  year: 2019
  end-page: 408
  ident: b29
  article-title: On stability of emulated turning processes in HIL environment
  publication-title: CIRP Ann.
  contributor:
    fullname: Takacs
– volume: 312
  start-page: 672
  year: 2008
  end-page: 693
  ident: b31
  article-title: Multisensor approaches for chatter detection in milling
  publication-title: J. Sound Vib.
  contributor:
    fullname: Totis
– volume: 87
  start-page: 3225
  year: 2016
  end-page: 3232
  ident: b10
  article-title: Probabilistic analysis of chatter stability in turning
  publication-title: Int. J. Adv. Manuf. Technol.
  contributor:
    fullname: Lv
– volume: 87
  start-page: 801
  year: 2016
  end-page: 809
  ident: b9
  article-title: Chatter reliability of milling system based on first-order second-moment method
  publication-title: Int. J. Adv. Manuf. Technol.
  contributor:
    fullname: Zhang
– volume: 6
  start-page: 319
  year: 2018
  end-page: 333
  ident: b28
  article-title: Chatter prediction for uncertain parameters
  publication-title: Adv. Manuf.
  contributor:
    fullname: Radons
– year: 1907
  ident: b4
  publication-title: On the Art of Cutting Metals
  contributor:
    fullname: Taylor
– volume: 120
  start-page: 22
  year: 1998
  end-page: 30
  ident: b32
  article-title: Analytical prediction of chatter stability in milling – Part I: General formulation
  publication-title: J. Dyn. Sys., Meas., Control
  contributor:
    fullname: Altintas
– volume: 15
  start-page: 508
  year: 2013
  end-page: 517
  ident: b13
  article-title: Robust prediction of chatter stability in milling based on the analytical chatter stability
  publication-title: J. Manuf. Process.
  contributor:
    fullname: Park
– volume: 77
  start-page: 481
  year: 2018
  end-page: 484
  ident: b27
  article-title: Ball shooting tests for identification of modal parameter variation in rotating main spindles
  publication-title: Procedia CIRP
  contributor:
    fullname: Stépán
– volume: 89
  start-page: 64
  year: 2015
  end-page: 73
  ident: b30
  article-title: In-process tool point FRF identification under operational conditions using inverse stability solution
  publication-title: Int. J. Mach. Tools Manuf.
  contributor:
    fullname: Özgüven
– year: 2019
  ident: b19
  article-title: Pseudospectral Method for Assessing Stability Robustness for Linear Time-Periodic Delayed Dynamical Systems
  contributor:
    fullname: Michiels
– year: 1954
  ident: b3
  article-title: Self-excited vibrations on machine tools
  contributor:
    fullname: Spacek
– volume: 34
  start-page: 40
  year: 2013
  end-page: 66
  ident: b26
  article-title: Low-rank dynamics for computing extremal points of real pseudospectra
  publication-title: SIAM J. Matrix Anal. Appl.
  contributor:
    fullname: Lubich
– volume: 61
  start-page: 9
  year: 2012
  end-page: 19
  ident: b8
  article-title: Numerical robust optimization of spindle speed for milling process with uncertainties
  publication-title: Int. J. Mach. Tools Manuf.
  contributor:
    fullname: Xiong
– volume: 134
  year: 2012
  ident: b16
  article-title: The effect of helix angle variation on milling stability
  publication-title: J. Manuf. Sci. Eng.
  contributor:
    fullname: Stepan
– volume: 56
  start-page: 81
  year: 2012
  end-page: 86
  ident: b33
  article-title: Bisection method in higher dimensions and the efficiency number
  publication-title: Period. Polytech. Mech. Eng.
  contributor:
    fullname: Stépán
– volume: 4
  start-page: 031003
  year: 2009
  ident: b23
  article-title: Analysis of milling stability by the Chebyshev collocation method: Algorithm and optimal stable immersion levels
  publication-title: J. Comput. Nonlinear Dynam.
  contributor:
    fullname: Nindujarla
– volume: 139
  start-page: 37
  year: 2019
  end-page: 59
  ident: b17
  article-title: Symmetry breaking in milling dynamics
  publication-title: Int. J. Mach. Tools Manuf.
  contributor:
    fullname: Stépán
– volume: 51
  start-page: 457
  year: 2011
  end-page: 464
  ident: b18
  article-title: Prediction of multiple dominant chatter frequencies in milling processes
  publication-title: Int. J. Mach. Tools Manuf.
  contributor:
    fullname: Insperger
– volume: 89
  start-page: 2503
  year: 2017
  end-page: 2514
  ident: b22
  article-title: Spectral element method for stability analysis of milling processes with discontinuous time-periodicity
  publication-title: Int. J. Adv. Manuf. Technol.
  contributor:
    fullname: Stepan
– volume: 30
  start-page: 281
  year: 2017
  end-page: 289
  ident: b14
  article-title: Prediction of robust stability boundaries for milling operations with extended multi-frequency solution and structured singular values
  publication-title: J. Manuf. Process.
  contributor:
    fullname: Stepan
– year: 2012
  ident: b1
  article-title: Manufacturing Automation: Metal Cutting Mechanics, Machine Tool Vibrations, and CNC Design
  contributor:
    fullname: Altintas
– year: 2011
  ident: b5
  publication-title: Semi-Discretization for Time-Delay Systems: Stability and Engineering Applications
  contributor:
    fullname: Stepan
– volume: 333
  start-page: 646
  year: 2014
  end-page: 668
  ident: b24
  article-title: Efficient evaluation of process stability in milling with spindle speed variation by using the Chebyshev collocation method
  publication-title: J. Sound Vib.
  contributor:
    fullname: Monno
– year: 1965
  ident: b2
  article-title: Machine-tool vibration
  contributor:
    fullname: Tobias
– volume: 49
  start-page: 273
  year: 2009
  end-page: 284
  ident: b12
  article-title: RCPM - A new method for robust chatter prediction in milling
  publication-title: Int. J. Mach. Tools Manuf.
  contributor:
    fullname: Totis
– volume: 87
  start-page: 566
  year: 2011
  end-page: 592
  ident: b21
  article-title: A spectral element approach for the stability of delay systems
  publication-title: Internat. J. Numer. Methods Engrg.
  contributor:
    fullname: Mann
– volume: 86
  start-page: 2105
  year: 2016
  end-page: 2114
  ident: b11
  article-title: Probabilistic analysis of dynamic stability for milling process
  publication-title: Nonlinear Dynam.
  contributor:
    fullname: Lv
– year: 1994
  ident: b20
  article-title: Periodic Motions
  contributor:
    fullname: Farkas
– volume: 333
  start-page: 646
  issue: 3
  year: 2014
  ident: 10.1016/j.ijmachtools.2019.103516_b24
  article-title: Efficient evaluation of process stability in milling with spindle speed variation by using the Chebyshev collocation method
  publication-title: J. Sound Vib.
  doi: 10.1016/j.jsv.2013.09.043
  contributor:
    fullname: Totis
– volume: 6
  start-page: 319
  issue: 3
  year: 2018
  ident: 10.1016/j.ijmachtools.2019.103516_b28
  article-title: Chatter prediction for uncertain parameters
  publication-title: Adv. Manuf.
  doi: 10.1007/s40436-018-0230-0
  contributor:
    fullname: Löser
– year: 1954
  ident: 10.1016/j.ijmachtools.2019.103516_b3
  contributor:
    fullname: Tlusty
– volume: 49
  start-page: 273
  issue: 3
  year: 2009
  ident: 10.1016/j.ijmachtools.2019.103516_b12
  article-title: RCPM - A new method for robust chatter prediction in milling
  publication-title: Int. J. Mach. Tools Manuf.
  doi: 10.1016/j.ijmachtools.2008.10.008
  contributor:
    fullname: Totis
– year: 1994
  ident: 10.1016/j.ijmachtools.2019.103516_b20
  contributor:
    fullname: Farkas
– volume: 89
  start-page: 64
  year: 2015
  ident: 10.1016/j.ijmachtools.2019.103516_b30
  article-title: In-process tool point FRF identification under operational conditions using inverse stability solution
  publication-title: Int. J. Mach. Tools Manuf.
  doi: 10.1016/j.ijmachtools.2014.09.014
  contributor:
    fullname: Özşahin
– volume: 61
  start-page: 9
  year: 2012
  ident: 10.1016/j.ijmachtools.2019.103516_b8
  article-title: Numerical robust optimization of spindle speed for milling process with uncertainties
  publication-title: Int. J. Mach. Tools Manuf.
  doi: 10.1016/j.ijmachtools.2012.05.002
  contributor:
    fullname: Zhang
– volume: 86
  start-page: 2105
  issue: 3
  year: 2016
  ident: 10.1016/j.ijmachtools.2019.103516_b11
  article-title: Probabilistic analysis of dynamic stability for milling process
  publication-title: Nonlinear Dynam.
  doi: 10.1007/s11071-016-3019-3
  contributor:
    fullname: Huang
– volume: 4
  start-page: 031003
  issue: 3
  year: 2009
  ident: 10.1016/j.ijmachtools.2019.103516_b23
  article-title: Analysis of milling stability by the Chebyshev collocation method: Algorithm and optimal stable immersion levels
  publication-title: J. Comput. Nonlinear Dynam.
  doi: 10.1115/1.3124088
  contributor:
    fullname: Butcher
– volume: 89
  start-page: 2503
  issue: 9–12
  year: 2017
  ident: 10.1016/j.ijmachtools.2019.103516_b22
  article-title: Spectral element method for stability analysis of milling processes with discontinuous time-periodicity
  publication-title: Int. J. Adv. Manuf. Technol.
  doi: 10.1007/s00170-016-9044-z
  contributor:
    fullname: Lehotzky
– year: 1907
  ident: 10.1016/j.ijmachtools.2019.103516_b4
  contributor:
    fullname: Taylor
– ident: 10.1016/j.ijmachtools.2019.103516_b15
  doi: 10.23919/ECC.2018.8550382
– volume: 312
  start-page: 672
  issue: 4–5
  year: 2008
  ident: 10.1016/j.ijmachtools.2019.103516_b31
  article-title: Multisensor approaches for chatter detection in milling
  publication-title: J. Sound Vib.
  doi: 10.1016/j.jsv.2007.11.006
  contributor:
    fullname: Kuljanic
– year: 2011
  ident: 10.1016/j.ijmachtools.2019.103516_b5
  contributor:
    fullname: Insperger
– volume: 134
  issue: 5
  year: 2012
  ident: 10.1016/j.ijmachtools.2019.103516_b16
  article-title: The effect of helix angle variation on milling stability
  publication-title: J. Manuf. Sci. Eng.
  doi: 10.1115/1.4007466
  contributor:
    fullname: Dombovari
– volume: 30
  start-page: 281
  year: 2017
  ident: 10.1016/j.ijmachtools.2019.103516_b14
  article-title: Prediction of robust stability boundaries for milling operations with extended multi-frequency solution and structured singular values
  publication-title: J. Manuf. Process.
  doi: 10.1016/j.jmapro.2017.09.015
  contributor:
    fullname: Hajdu
– volume: 77
  start-page: 481
  year: 2018
  ident: 10.1016/j.ijmachtools.2019.103516_b27
  article-title: Ball shooting tests for identification of modal parameter variation in rotating main spindles
  publication-title: Procedia CIRP
  doi: 10.1016/j.procir.2018.08.260
  contributor:
    fullname: Takács
– volume: 34
  start-page: 40
  issue: 1
  year: 2013
  ident: 10.1016/j.ijmachtools.2019.103516_b26
  article-title: Low-rank dynamics for computing extremal points of real pseudospectra
  publication-title: SIAM J. Matrix Anal. Appl.
  doi: 10.1137/120862399
  contributor:
    fullname: Guglielmi
– volume: 15
  start-page: 508
  issue: 4
  year: 2013
  ident: 10.1016/j.ijmachtools.2019.103516_b13
  article-title: Robust prediction of chatter stability in milling based on the analytical chatter stability
  publication-title: J. Manuf. Process.
  doi: 10.1016/j.jmapro.2013.08.005
  contributor:
    fullname: Graham
– year: 1965
  ident: 10.1016/j.ijmachtools.2019.103516_b2
  contributor:
    fullname: Tobias
– volume: 87
  start-page: 3225
  issue: 9
  year: 2016
  ident: 10.1016/j.ijmachtools.2019.103516_b10
  article-title: Probabilistic analysis of chatter stability in turning
  publication-title: Int. J. Adv. Manuf. Technol.
  doi: 10.1007/s00170-016-8672-7
  contributor:
    fullname: Huang
– volume: 51
  start-page: 457
  issue: 6
  year: 2011
  ident: 10.1016/j.ijmachtools.2019.103516_b18
  article-title: Prediction of multiple dominant chatter frequencies in milling processes
  publication-title: Int. J. Mach. Tools Manuf.
  doi: 10.1016/j.ijmachtools.2011.02.002
  contributor:
    fullname: Dombovari
– year: 2019
  ident: 10.1016/j.ijmachtools.2019.103516_b19
  contributor:
    fullname: Borgioli
– year: 2012
  ident: 10.1016/j.ijmachtools.2019.103516_b1
  contributor:
    fullname: Altintas
– volume: 87
  start-page: 566
  issue: 6
  year: 2011
  ident: 10.1016/j.ijmachtools.2019.103516_b21
  article-title: A spectral element approach for the stability of delay systems
  publication-title: Internat. J. Numer. Methods Engrg.
  doi: 10.1002/nme.3122
  contributor:
    fullname: Khasawneh
– ident: 10.1016/j.ijmachtools.2019.103516_b6
– start-page: 387
  year: 2005
  ident: 10.1016/j.ijmachtools.2019.103516_b7
  article-title: A numerical study of uncertainty in stability and surface location error in high-speed milling
  publication-title: Manuf. Eng. Mater. Handl. Parts A B
  contributor:
    fullname: Kurdi
– volume: 139
  start-page: 37
  year: 2019
  ident: 10.1016/j.ijmachtools.2019.103516_b17
  article-title: Symmetry breaking in milling dynamics
  publication-title: Int. J. Mach. Tools Manuf.
  doi: 10.1016/j.ijmachtools.2019.01.002
  contributor:
    fullname: Totis
– volume: 56
  start-page: 81
  issue: 2
  year: 2012
  ident: 10.1016/j.ijmachtools.2019.103516_b33
  article-title: Bisection method in higher dimensions and the efficiency number
  publication-title: Period. Polytech. Mech. Eng.
  doi: 10.3311/pp.me.2012-2.01
  contributor:
    fullname: Bachrathy
– volume: 87
  start-page: 801
  issue: 1
  year: 2016
  ident: 10.1016/j.ijmachtools.2019.103516_b9
  article-title: Chatter reliability of milling system based on first-order second-moment method
  publication-title: Int. J. Adv. Manuf. Technol.
  doi: 10.1007/s00170-016-8523-6
  contributor:
    fullname: Liu
– volume: 120
  start-page: 22
  issue: 1
  year: 1998
  ident: 10.1016/j.ijmachtools.2019.103516_b32
  article-title: Analytical prediction of chatter stability in milling – Part I: General formulation
  publication-title: J. Dyn. Sys., Meas., Control
  doi: 10.1115/1.2801317
  contributor:
    fullname: Budak
– volume: 34
  start-page: A2366
  issue: 4
  year: 2012
  ident: 10.1016/j.ijmachtools.2019.103516_b25
  article-title: An iterative method for computing the pseudospectral abscissa for a class of nonlinear eigenvalue problems
  publication-title: SIAM J. Sci. Comput.
  doi: 10.1137/110856113
  contributor:
    fullname: Michiels
– volume: 68
  start-page: 405
  year: 2019
  ident: 10.1016/j.ijmachtools.2019.103516_b29
  article-title: On stability of emulated turning processes in HIL environment
  publication-title: CIRP Ann.
  doi: 10.1016/j.cirp.2019.04.035
  contributor:
    fullname: Stepan
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Snippet The prediction of chatter-free machining parameters is not reliable for industrial applications without guaranteed robustness against modeling uncertainties....
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StartPage 103516
SubjectTerms Chatter
Collocation
Pseudospectral method
Robustness
Uncertainty
Title Robust stability of milling operations based on pseudospectral approach
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