IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v159y2022ics0960077922003988.html
   My bibliography  Save this article

Controlling chaotic oscillations in a symmetric two-mass model of the vocal folds

Author

Listed:
  • Guasch, Oriol
  • Van Hirtum, Annemie
  • Fernández, A. Inés
  • Arnela, Marc

Abstract

Human phonation is a highly non-linear process in which subglottal flow emanating from the lungs induces self-oscillations of the vocal folds. In normal conditions, this results in the generation of a regularly pulsating volume velocity that becomes the source of acoustic waves, which once modulated by the vocal tract, get emitted outwards as voice. However, vocal fold oscillations can become chaotic under many circumstances. For instance, even in the case of healthy symmetric vocal folds, an excess value of the subglottal pressure can trigger chaotic motion. In this paper, we derive a chaos control strategy for a two-mass model of the vocal cords to revert the situation and render the motion regular again. The approach relies on slightly altering the system energy to move it to a stable state. Given that no external control forces can be applied to the vocal cords, it is proposed to add a third mass to the original two-mass model, which is assumed to be made of an ideal smart material. The mass of the smart material is presumed negligible in comparison to the two masses of the vocal folds model, but its damping and stiffness can be tuned to evolve with time. For a fixed subglottal pressure for which the motion is chaotic, it is shown how periodicity can be recovered using adequate damping laws, by either attaching the smart material onto the larger vocal fold mass or onto the smaller one. For the latter, chaos control turns to be more difficult and the damping of the smart material has to quickly vary with time. On the other hand, given that the subglottal pressure would rarely be constant in a real situation, we also introduce a damping law to avoid chaotic motion as the subglottal pressure augments or diminishes. Finally, it is shown that control can not only be achieved by acting on the damping of the smart material but also on its stiffness. A stiffness law to prevent chaotic oscillations and get a healthy pulsating volume velocity is therefore implemented. A brief discussion on the mid-long term potential of the presented solution for practical cases is included.

Suggested Citation

  • Guasch, Oriol & Van Hirtum, Annemie & Fernández, A. Inés & Arnela, Marc, 2022. "Controlling chaotic oscillations in a symmetric two-mass model of the vocal folds," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
  • Handle: RePEc:eee:chsofr:v:159:y:2022:i:c:s0960077922003988
    DOI: 10.1016/j.chaos.2022.112188
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077922003988
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2022.112188?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. Tereshko, Valery, 2009. "Control and identification of chaotic systems by altering their energy," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2430-2446.
    2. Lee, June-Yule & Yan, Jun-Juh, 2006. "Control of impact oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 28(1), pages 136-142.
    3. de Souza, Silvio L.T. & Caldas, Iberê L. & Viana, Ricardo L., 2007. "Damping control law for a chaotic impact oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 745-750.
    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. Guasch, Oriol & Freixes, Marc & Arnela, Marc & Van Hirtum, Annemie, 2024. "Controlling chaotic vocal fold oscillations in the numerical production of vowel sounds," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).

    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. Wang, Liang & Xu, Wei & Li, Gaojie & Li, Dongxi, 2009. "Response of a stochastic Duffing–Van der Pol elastic impact oscillator," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2075-2080.
    2. Guasch, Oriol & Freixes, Marc & Arnela, Marc & Van Hirtum, Annemie, 2024. "Controlling chaotic vocal fold oscillations in the numerical production of vowel sounds," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    3. Li, Chao, 2019. "Stochastic response of a vibro-impact system with variable mass," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 516(C), pages 151-160.
    4. Luo, Guanwei & Xie, Jianhua & Zhu, Xifeng & Zhang, Jiangang, 2008. "Periodic motions and bifurcations of a vibro-impact system," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1340-1347.
    5. Firas Turki & Hassène Gritli & Safya Belghith, 2019. "Robust Position Control of a Two-Sided 1-DoF Impacting Mechanical Oscillator Subject to an External Persistent Disturbance by Means of a State-Feedback Controller," Complexity, Hindawi, vol. 2019, pages 1-14, December.

    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:159:y:2022:i:c:s0960077922003988. 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.