IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v131y2020ics0960077919304655.html
   My bibliography  Save this article

Reliability of elastic impact system with Coulomb friction excited by Gaussian white noise

Author

Listed:
  • Liu, Li
  • Xu, Wei
  • Yue, Xiaole
  • Qiao, Yan

Abstract

The reliability of nonlinear Elastic impact oscillator with Coulomb friction subjected to Gaussian white noise excitation is investigated. Firstly, the stochastic averaging method for the nonlinear Elastic impact system with Coulomb friction is proposed and the averaged Itô equation for the system energy is obtained. Secondly, the Backward Kolmogorov(BK) equation and Generalized Pontryagin(GP) equation are established to achieve the conditional reliability function and the mean first-passage time of the Elastic impact system. Finally, two examples are worked out in detail to illustrate the feasibility of the proposed procedures. The accuracy and efficiency of the proposed procedures are validated by Monte Carlo simulations. We can conclude that the increase of the Coulomb friction, noise intensity and damping constants of the elastic impact force can improve the reliability of the Elastic impact system.

Suggested Citation

  • Liu, Li & Xu, Wei & Yue, Xiaole & Qiao, Yan, 2020. "Reliability of elastic impact system with Coulomb friction excited by Gaussian white noise," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
    • Handle: RePEc:eee:chsofr:v:131:y:2020:i:c:s0960077919304655
    DOI: 10.1016/j.chaos.2019.109513
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077919304655
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2019.109513?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. 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.
    2. de Souza, S.L.T. & Wiercigroch, M. & Caldas, I.L. & Balthazar, J.M., 2008. "Suppressing grazing chaos in impacting system by structural nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 38(3), pages 864-869.
    3. 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.
    Full references (including those not matched with items on IDEAS)

    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. Medeiros, E.S. & de Souza, S.L.T. & Medrano-T, R.O. & Caldas, I.L., 2011. "Replicate periodic windows in the parameter space of driven oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 44(11), pages 982-989.
    2. Navarro-López, Eva M. & Licéaga-Castro, Eduardo, 2009. "Non-desired transitions and sliding-mode control of a multi-DOF mechanical system with stick-slip oscillations," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2035-2044.
    3. 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.
    4. Feng, Jinqian & Liu, Junli, 2015. "Chaotic dynamics of the vibro-impact system under bounded noise perturbation," Chaos, Solitons & Fractals, Elsevier, vol. 73(C), pages 10-16.
    5. Liu, Di & Li, Junlin & Meng, Yu, 2019. "Probabilistic response analysis for a class of nonlinear vibro-impact oscillator with bilateral constraints under colored noise excitation," Chaos, Solitons & Fractals, Elsevier, vol. 122(C), pages 179-188.

    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:131:y:2020:i:c:s0960077919304655. 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.