Resonance frequency and stiffness of magnetic bead chain in magnetic field

Nobuyuki Nakayama, Hiroyuki Kawamoto, Satoshi Yamada

    Research output: Contribution to journalArticle

    16 Citations (Scopus)

    Abstract

    Experimental, theoretical, and numerical investigations have been carried out to evaluate resonant frequency and stiffness of a magnetic bead chain in the magnetic field. Chains formed on a solenoid coil were vibrated by the sinusoidal wave and impulse wave to deduce resonant frequency. It showed weak dependency on the magnetic flux density and the bead diameter, because both the equivalent stiffness and the chain length were large in accordance with the increase of the magnetic flux density. These characteristics were confirmed by theoretical considerations based on an assumption of potential energy minimization and a numerical calculation with the Distinct Element Method. Stiffness of the chain was directly measured by observation of chain deflection in inclined gravitational field and the results agreed with the dynamically deduced characteristics. It was concluded that the resonant frequency was 20-60 Hz and the static stiffness at the top of the chain was 10-4 - 10-2 N/m. The investigation is expected to be utilized for the improvement of the two-component magnetic brush development subsystem in electrophotography.

    Original languageEnglish
    Pages (from-to)408-417
    Number of pages10
    JournalJournal of Imaging Science and Technology
    Volume47
    Issue number5
    Publication statusPublished - 2003 Sep

    Fingerprint

    beads
    stiffness
    Stiffness
    Magnetic fields
    Natural frequencies
    Magnetic flux
    magnetic fields
    resonant frequencies
    magnetic flux
    Solenoids
    Brushes
    flux density
    Potential energy
    Chain length
    brushes
    solenoids
    gravitational fields
    impulses
    deflection
    coils

    ASJC Scopus subject areas

    • Electronic, Optical and Magnetic Materials
    • Computer Vision and Pattern Recognition

    Cite this

    Resonance frequency and stiffness of magnetic bead chain in magnetic field. / Nakayama, Nobuyuki; Kawamoto, Hiroyuki; Yamada, Satoshi.

    In: Journal of Imaging Science and Technology, Vol. 47, No. 5, 09.2003, p. 408-417.

    Research output: Contribution to journalArticle

    @article{f4ab11e7e7bf4d978f88d12e5b52cbbf,
    title = "Resonance frequency and stiffness of magnetic bead chain in magnetic field",
    abstract = "Experimental, theoretical, and numerical investigations have been carried out to evaluate resonant frequency and stiffness of a magnetic bead chain in the magnetic field. Chains formed on a solenoid coil were vibrated by the sinusoidal wave and impulse wave to deduce resonant frequency. It showed weak dependency on the magnetic flux density and the bead diameter, because both the equivalent stiffness and the chain length were large in accordance with the increase of the magnetic flux density. These characteristics were confirmed by theoretical considerations based on an assumption of potential energy minimization and a numerical calculation with the Distinct Element Method. Stiffness of the chain was directly measured by observation of chain deflection in inclined gravitational field and the results agreed with the dynamically deduced characteristics. It was concluded that the resonant frequency was 20-60 Hz and the static stiffness at the top of the chain was 10-4 - 10-2 N/m. The investigation is expected to be utilized for the improvement of the two-component magnetic brush development subsystem in electrophotography.",
    author = "Nobuyuki Nakayama and Hiroyuki Kawamoto and Satoshi Yamada",
    year = "2003",
    month = "9",
    language = "English",
    volume = "47",
    pages = "408--417",
    journal = "Journal of Imaging Science and Technology",
    issn = "1062-3701",
    publisher = "Society for Imaging Science and Technology",
    number = "5",

    }

    TY - JOUR

    T1 - Resonance frequency and stiffness of magnetic bead chain in magnetic field

    AU - Nakayama, Nobuyuki

    AU - Kawamoto, Hiroyuki

    AU - Yamada, Satoshi

    PY - 2003/9

    Y1 - 2003/9

    N2 - Experimental, theoretical, and numerical investigations have been carried out to evaluate resonant frequency and stiffness of a magnetic bead chain in the magnetic field. Chains formed on a solenoid coil were vibrated by the sinusoidal wave and impulse wave to deduce resonant frequency. It showed weak dependency on the magnetic flux density and the bead diameter, because both the equivalent stiffness and the chain length were large in accordance with the increase of the magnetic flux density. These characteristics were confirmed by theoretical considerations based on an assumption of potential energy minimization and a numerical calculation with the Distinct Element Method. Stiffness of the chain was directly measured by observation of chain deflection in inclined gravitational field and the results agreed with the dynamically deduced characteristics. It was concluded that the resonant frequency was 20-60 Hz and the static stiffness at the top of the chain was 10-4 - 10-2 N/m. The investigation is expected to be utilized for the improvement of the two-component magnetic brush development subsystem in electrophotography.

    AB - Experimental, theoretical, and numerical investigations have been carried out to evaluate resonant frequency and stiffness of a magnetic bead chain in the magnetic field. Chains formed on a solenoid coil were vibrated by the sinusoidal wave and impulse wave to deduce resonant frequency. It showed weak dependency on the magnetic flux density and the bead diameter, because both the equivalent stiffness and the chain length were large in accordance with the increase of the magnetic flux density. These characteristics were confirmed by theoretical considerations based on an assumption of potential energy minimization and a numerical calculation with the Distinct Element Method. Stiffness of the chain was directly measured by observation of chain deflection in inclined gravitational field and the results agreed with the dynamically deduced characteristics. It was concluded that the resonant frequency was 20-60 Hz and the static stiffness at the top of the chain was 10-4 - 10-2 N/m. The investigation is expected to be utilized for the improvement of the two-component magnetic brush development subsystem in electrophotography.

    UR - http://www.scopus.com/inward/record.url?scp=0142242216&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=0142242216&partnerID=8YFLogxK

    M3 - Article

    VL - 47

    SP - 408

    EP - 417

    JO - Journal of Imaging Science and Technology

    JF - Journal of Imaging Science and Technology

    SN - 1062-3701

    IS - 5

    ER -