Experimental determination of dominant multipliers in milling process by means of homogeneous coordinate transformation

Adam K. Kiss, Daniel Bachrathy, G. Stépán

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

In this contribution, a chatter detection method is investigated for milling operations. The proposed approach can give not only qualitative condition (stable or unstable), but a quantitative measure of stability. For this purpose, it requires an external excitation of stable machining condition. Transient vibration of the perturbation is captured by means of stroboscopic section, and the corresponding monodromy operator is approximated by its projection to the subspace of the dominant modes. The monodromy matrix is determined with the application of homogeneous coordinate representation. Then, the periodic solution and the dominant characteristic multipliers are calculated and their modulus determines the quantitative measure of stability condition.

Original languageEnglish
Title of host publication29th Conference on Mechanical Vibration and Noise
PublisherAmerican Society of Mechanical Engineers (ASME)
Volume8
ISBN (Electronic)9780791858226
DOIs
Publication statusPublished - Jan 1 2017
EventASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2017 - Cleveland, United States
Duration: Aug 6 2017Aug 9 2017

Other

OtherASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2017
CountryUnited States
CityCleveland
Period8/6/178/9/17

Fingerprint

Homogeneous coordinates
Coordinate Transformation
Monodromy
Multiplier
Chatter
Machining
Stability Condition
Modulus
Periodic Solution
Vibration
Excitation
Unstable
Subspace
Projection
Perturbation
Operator

ASJC Scopus subject areas

  • Mechanical Engineering
  • Computer Graphics and Computer-Aided Design
  • Computer Science Applications
  • Modelling and Simulation

Cite this

Kiss, A. K., Bachrathy, D., & Stépán, G. (2017). Experimental determination of dominant multipliers in milling process by means of homogeneous coordinate transformation. In 29th Conference on Mechanical Vibration and Noise (Vol. 8). American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/DETC2017-67827

Experimental determination of dominant multipliers in milling process by means of homogeneous coordinate transformation. / Kiss, Adam K.; Bachrathy, Daniel; Stépán, G.

29th Conference on Mechanical Vibration and Noise. Vol. 8 American Society of Mechanical Engineers (ASME), 2017.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Kiss, AK, Bachrathy, D & Stépán, G 2017, Experimental determination of dominant multipliers in milling process by means of homogeneous coordinate transformation. in 29th Conference on Mechanical Vibration and Noise. vol. 8, American Society of Mechanical Engineers (ASME), ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2017, Cleveland, United States, 8/6/17. https://doi.org/10.1115/DETC2017-67827
Kiss AK, Bachrathy D, Stépán G. Experimental determination of dominant multipliers in milling process by means of homogeneous coordinate transformation. In 29th Conference on Mechanical Vibration and Noise. Vol. 8. American Society of Mechanical Engineers (ASME). 2017 https://doi.org/10.1115/DETC2017-67827
Kiss, Adam K. ; Bachrathy, Daniel ; Stépán, G. / Experimental determination of dominant multipliers in milling process by means of homogeneous coordinate transformation. 29th Conference on Mechanical Vibration and Noise. Vol. 8 American Society of Mechanical Engineers (ASME), 2017.
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