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Vibration Analysis in Cutting Materials

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Recurrence Quantification Analysis

Part of the book series: Understanding Complex Systems ((UCS))

Abstract

The orthogonal cutting process is a highly nonlinear phenomenon, where dry friction is combined with possible contact loss and time delay effects. Unwanted and harmful vibrations may appear during cutting; the vibrations may have a regular or chaotic nature depending on the system vibrations. These vibrations disturb the process and affect the final surface quality of the workpiece. We investigate the dynamics of the cutting process by modeling it as a two-degrees of freedom nonlinear system. Using nonlinear analysis methods, such as nonlinear time series embedding approach, recurrence plots (RP) and recurrence quantification analysis (RQA), we try to identify the system variables and cutting forces that lead to chaotic motion.

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Acknowledgements

Financial support the Structural Funds under the Operational Programme—Innovative Economy (IE OP) financed from the European Regional Development Fund—Project Modern material technologies in aerospace industry, No. POIG.01.01.02-00-015/08-00, is gratefully acknowledged.

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Authors and Affiliations

  1. Faculty of Mechanical Engineering, Lublin University of Technology, Nadbystrzycka 36, 20-618, Lublin, Poland

    Arkadiusz Syta & Grzegorz Litak

Authors
  1. Arkadiusz Syta
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  2. Grzegorz Litak
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Correspondence to Arkadiusz Syta .

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Editors and Affiliations

  1. Department of Cell and Molecular Physiology, Loyola University, Maywood, Illinois, USA

    Charles L. Webber, Jr.

  2. Transdisciplinary Concepts and Methods, Potsdam Institute for Climate Research Research Domain, Potsdam, Germany

    Norbert Marwan

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Syta, A., Litak, G. (2015). Vibration Analysis in Cutting Materials. In: Webber, Jr., C., Marwan, N. (eds) Recurrence Quantification Analysis. Understanding Complex Systems. Springer, Cham. https://doi.org/10.1007/978-3-319-07155-8_9

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