An analytical study of non-linear behaviour of coupled 2+2x0.5 DOF electro-magneto-mechanical system by a method of multiple scales

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

Abstract

An electro-magneto-mechanical system combines three physical domains - a mechanical structure, a magnetic field and an electric circuit. The interaction between these domains is analysed for a structure with two degrees of freedom (translational and rotational) and two electrical circuits. Each electrical circuit is described by a differential equation of the 1st order, which is considered to contribute to the coupled system by 0.5 DOF. The electrical and mechanical systems are coupled via a magnetic circuit, which is inherently non-linear, due to a non-linear nature of the electro-magnetic force. To study the non-linear behaviour of the coupled problem analytically, the classical multiple scale method is applied. The response at each mode in resonant as well as in sub-harmonic excitation conditions is analysed in the cases of internal resonance and internal parametric resonance.
Original languageEnglish
Title of host publicationProceedings of the 11th International Conference
EditorsE. Rustighi
Number of pages12
PublisherInstitute of Sound and Vibration Research, University of Southampton
Publication date2013
ISBN (Print)978-08-543-2964-9 (USB)
Publication statusPublished - 2013
EventRASD2013: Recent Advances in Structural Dynamics - Pisa, Italy
Duration: 1 Jul 20133 Jul 2013
Conference number: 11 th

Conference

ConferenceRASD2013: Recent Advances in Structural Dynamics
Number11 th
CountryItaly
CityPisa
Period01/07/201303/07/2013

Keywords

    Cite this

    Darula, R., & Sorokin, S. (2013). An analytical study of non-linear behaviour of coupled 2+2x0.5 DOF electro-magneto-mechanical system by a method of multiple scales. In E. Rustighi (Ed.), Proceedings of the 11th International Conference Institute of Sound and Vibration Research, University of Southampton.
    Darula, Radoslav ; Sorokin, Sergey. / An analytical study of non-linear behaviour of coupled 2+2x0.5 DOF electro-magneto-mechanical system by a method of multiple scales. Proceedings of the 11th International Conference. editor / E. Rustighi. Institute of Sound and Vibration Research, University of Southampton, 2013.
    @inproceedings{6fc6419359004edd8e0c176b07fbde52,
    title = "An analytical study of non-linear behaviour of coupled 2+2x0.5 DOF electro-magneto-mechanical system by a method of multiple scales",
    abstract = "An electro-magneto-mechanical system combines three physical domains - a mechanical structure, a magnetic field and an electric circuit. The interaction between these domains is analysed for a structure with two degrees of freedom (translational and rotational) and two electrical circuits. Each electrical circuit is described by a differential equation of the 1st order, which is considered to contribute to the coupled system by 0.5 DOF. The electrical and mechanical systems are coupled via a magnetic circuit, which is inherently non-linear, due to a non-linear nature of the electro-magnetic force. To study the non-linear behaviour of the coupled problem analytically, the classical multiple scale method is applied. The response at each mode in resonant as well as in sub-harmonic excitation conditions is analysed in the cases of internal resonance and internal parametric resonance.",
    keywords = "coupled non-linear model, method of multiple scales, dynamics",
    author = "Radoslav Darula and Sergey Sorokin",
    note = "Titel p{\aa} proceedings RASD2013: Recent Advances in Structural Dynamics",
    year = "2013",
    language = "English",
    isbn = "978-08-543-2964-9 (USB)",
    editor = "E. Rustighi",
    booktitle = "Proceedings of the 11th International Conference",
    publisher = "Institute of Sound and Vibration Research, University of Southampton",

    }

    Darula, R & Sorokin, S 2013, An analytical study of non-linear behaviour of coupled 2+2x0.5 DOF electro-magneto-mechanical system by a method of multiple scales. in E Rustighi (ed.), Proceedings of the 11th International Conference. Institute of Sound and Vibration Research, University of Southampton, Pisa, Italy, 01/07/2013.

    An analytical study of non-linear behaviour of coupled 2+2x0.5 DOF electro-magneto-mechanical system by a method of multiple scales. / Darula, Radoslav; Sorokin, Sergey.

    Proceedings of the 11th International Conference. ed. / E. Rustighi. Institute of Sound and Vibration Research, University of Southampton, 2013.

    Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

    TY - GEN

    T1 - An analytical study of non-linear behaviour of coupled 2+2x0.5 DOF electro-magneto-mechanical system by a method of multiple scales

    AU - Darula, Radoslav

    AU - Sorokin, Sergey

    N1 - Titel på proceedings RASD2013: Recent Advances in Structural Dynamics

    PY - 2013

    Y1 - 2013

    N2 - An electro-magneto-mechanical system combines three physical domains - a mechanical structure, a magnetic field and an electric circuit. The interaction between these domains is analysed for a structure with two degrees of freedom (translational and rotational) and two electrical circuits. Each electrical circuit is described by a differential equation of the 1st order, which is considered to contribute to the coupled system by 0.5 DOF. The electrical and mechanical systems are coupled via a magnetic circuit, which is inherently non-linear, due to a non-linear nature of the electro-magnetic force. To study the non-linear behaviour of the coupled problem analytically, the classical multiple scale method is applied. The response at each mode in resonant as well as in sub-harmonic excitation conditions is analysed in the cases of internal resonance and internal parametric resonance.

    AB - An electro-magneto-mechanical system combines three physical domains - a mechanical structure, a magnetic field and an electric circuit. The interaction between these domains is analysed for a structure with two degrees of freedom (translational and rotational) and two electrical circuits. Each electrical circuit is described by a differential equation of the 1st order, which is considered to contribute to the coupled system by 0.5 DOF. The electrical and mechanical systems are coupled via a magnetic circuit, which is inherently non-linear, due to a non-linear nature of the electro-magnetic force. To study the non-linear behaviour of the coupled problem analytically, the classical multiple scale method is applied. The response at each mode in resonant as well as in sub-harmonic excitation conditions is analysed in the cases of internal resonance and internal parametric resonance.

    KW - coupled non-linear model, method of multiple scales, dynamics

    M3 - Article in proceeding

    SN - 978-08-543-2964-9 (USB)

    BT - Proceedings of the 11th International Conference

    A2 - Rustighi, E.

    PB - Institute of Sound and Vibration Research, University of Southampton

    ER -

    Darula R, Sorokin S. An analytical study of non-linear behaviour of coupled 2+2x0.5 DOF electro-magneto-mechanical system by a method of multiple scales. In Rustighi E, editor, Proceedings of the 11th International Conference. Institute of Sound and Vibration Research, University of Southampton. 2013