IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v41y2009i4p2115-2122.html
   My bibliography  Save this article

Intermittent and chaotic vibrations in a regenerative cutting process

Author

Listed:
  • Litak, Grzegorz
  • Sen, Asok K.
  • Syta, Arkadiusz

Abstract

We have examined a cutting process with dry friction and contact loss effects. To model the second pass of the tool through the workpiece, we used a harmonic function representing the surface corrugations. The mathematical model consists of a single differential equation of second order. By numerically solving the governing differential equation, we obtained the time series for the cutting depth for different excitation frequencies. The time series are analyzed using the methods of recurrence plots, recurrence quantification analysis and wavelet analysis. The results show an intermittent character of the system dynamics with transition to chaotic motion.

Suggested Citation

  • Litak, Grzegorz & Sen, Asok K. & Syta, Arkadiusz, 2009. "Intermittent and chaotic vibrations in a regenerative cutting process," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2115-2122.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:4:p:2115-2122
    DOI: 10.1016/j.chaos.2008.08.018
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S096007790800372X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2008.08.018?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Sen, Asok K. & Litak, Grzegorz & Taccani, Rodolfo & Radu, Robert, 2008. "Wavelet analysis of cycle-to-cycle pressure variations in an internal combustion engine," Chaos, Solitons & Fractals, Elsevier, vol. 38(3), pages 886-893.
    2. Litak, Grzegorz & Syta, Arkadiusz & Wiercigroch, Marian, 2009. "Identification of chaos in a cutting process by the 0–1 test," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2095-2101.
    3. Wang, X.S. & Hu, J. & Gao, J.B., 2006. "Nonlinear dynamics of regenerative cutting processes—Comparison of two models," Chaos, Solitons & Fractals, Elsevier, vol. 29(5), pages 1219-1228.
    4. Gençay, Ramazan & Gençay, Ramazan & Selçuk, Faruk & Whitcher, Brandon J., 2001. "An Introduction to Wavelets and Other Filtering Methods in Finance and Economics," Elsevier Monographs, Elsevier, edition 1, number 9780122796708.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Krese, Blaž & Govekar, Edvard, 2011. "Recurrence quantification analysis of intermittent spontaneous to forced dripping transition in laser droplet generation," Chaos, Solitons & Fractals, Elsevier, vol. 44(4), pages 298-305.
    2. Yang Fu & Yun Zhang & Huang Gao & Ting Mao & Huamin Zhou & Ronglei Sun & Dequn Li, 2019. "Automatic feature constructing from vibration signals for machining state monitoring," Journal of Intelligent Manufacturing, Springer, vol. 30(3), pages 995-1008, March.
    3. Litak, Grzegorz & Borowiec, Marek & Hunicz, Jacek & Koszałka, Grzegorz & Niewczas, Andrzej, 2009. "Vibrations of a delivery car excited by railway track crossing," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 270-276.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ding, Shun-Liang & Song, En-Zhe & Yang, Li-Ping & Litak, Grzegorz & Yao, Chong & Ma, Xiu-Zhen, 2016. "Investigation on nonlinear dynamic characteristics of combustion instability in the lean-burn premixed natural gas engine," Chaos, Solitons & Fractals, Elsevier, vol. 93(C), pages 99-110.
    2. Marco Gallegati & Mauro Gallegati, 2005. "Wavelet variance and correlation analyses of output in G7 countries," Macroeconomics 0512017, University Library of Munich, Germany.
    3. Yushu Li & Fredrik N. G. Andersson, 2021. "A simple wavelet-based test for serial correlation in panel data models," Empirical Economics, Springer, vol. 60(5), pages 2351-2363, May.
    4. Dimitrios Panagiotou & Athanassios Stavrakoudis, 2023. "Price dependence among the major EU extra virgin olive oil markets: a time scale analysis," Review of Agricultural, Food and Environmental Studies, Springer, vol. 104(1), pages 1-26, March.
    5. Litak, Grzegorz & Kasperek, Rafał & Zaleski, Kazimierz, 2009. "Effect of high-frequency excitation in regenerative turning of metals and brittle materials," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2077-2082.
    6. Akan, Taner & Gündüz, Halil İbrahim & Emirmahmutoğlu, Furkan & Işık, Ali Haydar, 2023. "Disaggregating renewable energy-growth nexus: W-ARDL and W-Toda-Yamamoto approaches," Renewable and Sustainable Energy Reviews, Elsevier, vol. 188(C).
    7. Selçuk, Faruk & Gençay, Ramazan, 2006. "Intraday dynamics of stock market returns and volatility," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 367(C), pages 375-387.
    8. Asgharian, Hossein, 2011. "A conditional asset-pricing model with the optimal orthogonal portfolio," Journal of Banking & Finance, Elsevier, vol. 35(5), pages 1027-1040, May.
    9. Patrick M. Crowley, 2007. "A Guide To Wavelets For Economists," Journal of Economic Surveys, Wiley Blackwell, vol. 21(2), pages 207-267, April.
    10. Mustapha Olalekan Ojo & Luís Aguiar‐Conraria & Maria Joana Soares, 2024. "The performance of OECD's composite leading indicator," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 29(2), pages 2265-2277, April.
    11. Ben Moews & J. Michael Herrmann & Gbenga Ibikunle, 2018. "Lagged correlation-based deep learning for directional trend change prediction in financial time series," Papers 1811.11287, arXiv.org, revised Nov 2018.
    12. Ahmad Alrazni Alshammari, Basheer Altarturi, Buerhan Saiti, Latifah Munassar, 2020. "The impact of exchange rate, oil price and gold price on the Kuwaiti stock market: a wavelet analysis," European Journal of Comparative Economics, Cattaneo University (LIUC), vol. 17(1), pages 31-54, June.
    13. Schröder, Anna Louise & Fryzlewicz, Piotr, 2013. "Adaptive trend estimation in financial time series via multiscale change-point-induced basis recovery," MPRA Paper 52379, University Library of Munich, Germany.
    14. Yi Xiao & Shouyang Wang & Ming Xiao & Jin Xiao & Yi Hu, 2017. "The Analysis for the Cargo Volume with Hybrid Discrete Wavelet Modeling," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(03), pages 851-863, May.
    15. Emmanuel Asafo-Adjei & Ebenezer Boateng & Zangina Isshaq & Anthony Adu-Asare Idun & Peterson Owusu Junior & Anokye M Adam, 2021. "Financial sector and economic growth amid external uncertainty shocks: Insights into emerging economies," PLOS ONE, Public Library of Science, vol. 16(11), pages 1-26, November.
    16. Muhammad Abubakr Naeem & Mudassar Hasan & Abraham Agyemang & Md Iftekhar Hasan Chowdhury & Faruk Balli, 2023. "Time‐frequency dynamics between fear connectedness of stocks and alternative assets," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 28(2), pages 2188-2201, April.
    17. Don U.A. Galagedera & Elizabeth A. Maharaj, 2004. "Wavelet timescales and conditional relationship between higher- order systematic co-moments and portfolio returns: evidence in Australian data," Finance 0409056, University Library of Munich, Germany.
    18. Gallegati, Marco & Ramsey, James B., 2013. "Structural change and phase variation: A re-examination of the q-model using wavelet exploratory analysis," Structural Change and Economic Dynamics, Elsevier, vol. 25(C), pages 60-73.
    19. Caraiani, Petre, 2015. "Estimating DSGE models across time and frequency," Journal of Macroeconomics, Elsevier, vol. 44(C), pages 33-49.
    20. Remzi Gök & Erkan Kara, 2021. "Impacts of the Covid-19 Pandemic on the Agricultural Prices: New Insights from CWT Granger Causality Test," Journal of Research in Economics, Politics & Finance, Ersan ERSOY, vol. 5(SI), pages 76-96.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:41:y:2009:i:4:p:2115-2122. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.