Load distribution analysis method for cylindrical worm gear teeth (2nd Report, Development of tooth contact analysis method)

Katsuzo Sudoh, Yasuyuki Tanaka, Susumu Matsumoto, Yasuyoshi Tozaki

    Research output: Contribution to journalArticle

    Abstract

    Judging from manufacturing errors and deflections under load, worm gears do not operate in their ideal relative positions. It is important to predict the load distribution considering tooth profile and setting error. A method for determining the load distribution, Hertzian contact pressure and oil film thickness is presented in this paper. Using our empirical formula for bending deflections, we developed the matrix of transformation. The deflection along the load direction on any point of a contact line at the same meshing position is expressed by the matrix of transformation. Using this matrix, the load distribution of a worm and wheel is evaluated with numerical analysis. It is obvious that the calculated results agree comparatively with experimental ones under actual operating conditions. With this calculating method, the effects of various types of misalignment on tooth contact are clarified.

    Original languageEnglish
    Pages (from-to)3178-3185
    Number of pages8
    JournalNippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
    Volume59
    Issue number566
    Publication statusPublished - 1993 Oct

    Fingerprint

    Worm gears
    Gear teeth
    Film thickness
    Numerical analysis
    Wheels

    ASJC Scopus subject areas

    • Mechanical Engineering

    Cite this

    Load distribution analysis method for cylindrical worm gear teeth (2nd Report, Development of tooth contact analysis method). / Sudoh, Katsuzo; Tanaka, Yasuyuki; Matsumoto, Susumu; Tozaki, Yasuyoshi.

    In: Nippon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C, Vol. 59, No. 566, 10.1993, p. 3178-3185.

    Research output: Contribution to journalArticle

    @article{cc24ed91645045c093faaed9119661e1,
    title = "Load distribution analysis method for cylindrical worm gear teeth (2nd Report, Development of tooth contact analysis method)",
    abstract = "Judging from manufacturing errors and deflections under load, worm gears do not operate in their ideal relative positions. It is important to predict the load distribution considering tooth profile and setting error. A method for determining the load distribution, Hertzian contact pressure and oil film thickness is presented in this paper. Using our empirical formula for bending deflections, we developed the matrix of transformation. The deflection along the load direction on any point of a contact line at the same meshing position is expressed by the matrix of transformation. Using this matrix, the load distribution of a worm and wheel is evaluated with numerical analysis. It is obvious that the calculated results agree comparatively with experimental ones under actual operating conditions. With this calculating method, the effects of various types of misalignment on tooth contact are clarified.",
    author = "Katsuzo Sudoh and Yasuyuki Tanaka and Susumu Matsumoto and Yasuyoshi Tozaki",
    year = "1993",
    month = "10",
    language = "English",
    volume = "59",
    pages = "3178--3185",
    journal = "Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C",
    issn = "0387-5024",
    publisher = "Japan Society of Mechanical Engineers",
    number = "566",

    }

    TY - JOUR

    T1 - Load distribution analysis method for cylindrical worm gear teeth (2nd Report, Development of tooth contact analysis method)

    AU - Sudoh, Katsuzo

    AU - Tanaka, Yasuyuki

    AU - Matsumoto, Susumu

    AU - Tozaki, Yasuyoshi

    PY - 1993/10

    Y1 - 1993/10

    N2 - Judging from manufacturing errors and deflections under load, worm gears do not operate in their ideal relative positions. It is important to predict the load distribution considering tooth profile and setting error. A method for determining the load distribution, Hertzian contact pressure and oil film thickness is presented in this paper. Using our empirical formula for bending deflections, we developed the matrix of transformation. The deflection along the load direction on any point of a contact line at the same meshing position is expressed by the matrix of transformation. Using this matrix, the load distribution of a worm and wheel is evaluated with numerical analysis. It is obvious that the calculated results agree comparatively with experimental ones under actual operating conditions. With this calculating method, the effects of various types of misalignment on tooth contact are clarified.

    AB - Judging from manufacturing errors and deflections under load, worm gears do not operate in their ideal relative positions. It is important to predict the load distribution considering tooth profile and setting error. A method for determining the load distribution, Hertzian contact pressure and oil film thickness is presented in this paper. Using our empirical formula for bending deflections, we developed the matrix of transformation. The deflection along the load direction on any point of a contact line at the same meshing position is expressed by the matrix of transformation. Using this matrix, the load distribution of a worm and wheel is evaluated with numerical analysis. It is obvious that the calculated results agree comparatively with experimental ones under actual operating conditions. With this calculating method, the effects of various types of misalignment on tooth contact are clarified.

    UR - http://www.scopus.com/inward/record.url?scp=0027684385&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=0027684385&partnerID=8YFLogxK

    M3 - Article

    VL - 59

    SP - 3178

    EP - 3185

    JO - Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C

    JF - Nihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C

    SN - 0387-5024

    IS - 566

    ER -