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A Study of Geometry and Deformable-body Characteristics of Non-right Angle Worm Gear Pairs

Madhavan, Sriram

Abstract Details

2012, Master of Science, Ohio State University, Mechanical Engineering.
In this study, a formulation to define the three-dimensional geometry of worm gear drives having non-right angle shafts is developed. The geometry of the worm is determined by defining the geometry of the cutter and solving the corresponding equation of meshing between the worm and the cutter. The geometry of the worm gear is then defined by using a cutter which has the exact shape of the worm and solving the corresponding equation of meshing between the worm and the worm gear. Both right- and left-hand, single enveloping worm drives of ZK type with any number of worm threads are included in this formulation. With the tooth surface geometries defined, a commercial finite element gear analysis package with specific worm mesh generators is used to develop a deformable-body model of a non-right angle worm gear pair A parametric design sensitivity study is performed by using this deformable-body model to quantify the effects of basic geometric parameters including the shaft cross angle, lead angle, pressure angle, and addendum and dedendum coefficients on the maximum contact stress and mechanical efficiency of the gear pairs. In addition, variations to shaft center distance and cross angle are introduced to investigate their influence on gear pair performance.
Dr. Ahmet Kahraman, PhD (Advisor)
Dr. Donald Houser, PhD (Committee Member)
100 p.

Recommended Citations

Citations

  • Madhavan, S. (2012). A Study of Geometry and Deformable-body Characteristics of Non-right Angle Worm Gear Pairs [Master's thesis, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1344908695

    APA Style (7th edition)

  • Madhavan, Sriram. A Study of Geometry and Deformable-body Characteristics of Non-right Angle Worm Gear Pairs. 2012. Ohio State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1344908695.

    MLA Style (8th edition)

  • Madhavan, Sriram. "A Study of Geometry and Deformable-body Characteristics of Non-right Angle Worm Gear Pairs." Master's thesis, Ohio State University, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=osu1344908695

    Chicago Manual of Style (17th edition)