IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v200y2025ip2s0960077925010756.html
   My bibliography  Save this article

MDoF mechanical systems with rate-independent hysteresis: Assessment of dimensionality, loop shapes, and mass ratio

Author

Listed:
  • Capuano, Raffaele
  • Vaiana, Nicolò
  • Rosati, Luciano

Abstract

We explore the dynamic behavior of Multi Degrees of Freedom (MDoF) mechanical systems characterized by rate-independent hysteretic properties. The study focuses on three main aspects: (i) the influence of system dimensionality; (ii) the combined effect of distinct hysteretic behaviors acting on different components, and (iii) the impact of mass ratio variations on the steady-state response. To this end, a general class of nonlinear hysteretic systems is defined using a non-dimensional formulation, and a Poincaré map-based continuation procedure is employed to numerically compute periodic solutions, determine their stability, and detect bifurcations. Moreover, the adoption of the Vaiana–Rosati model of hysteresis (VRM+D) enables a unified and thorough analysis of complex hysteretic loop shapes for the first time. The results obtained in a consistent set of case studies reveal how these internal features govern resonance phenomena, affect stability, mode interactions and lead to the occurrence of advanced bifurcation patterns, including quasi-periodic oscillations and chaos.

Suggested Citation

  • Capuano, Raffaele & Vaiana, Nicolò & Rosati, Luciano, 2025. "MDoF mechanical systems with rate-independent hysteresis: Assessment of dimensionality, loop shapes, and mass ratio," Chaos, Solitons & Fractals, Elsevier, vol. 200(P2).
    • Handle: RePEc:eee:chsofr:v:200:y:2025:i:p2:s0960077925010756
    DOI: 10.1016/j.chaos.2025.117062
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077925010756
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2025.117062?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

    for a different version of it.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:200:y:2025:i:p2:s0960077925010756. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.