Involute-Gear Geometry: Nondimensional Analysis and Design of Tooth Forms, Tooth Thickness, and Mesh Relationships

Definition and discussion of recently discovered fundamental gear characteristic called “belt-length ratio,” to simplify gear design and generation computations, are given with necessary measurement procedures, formulas, and a graphical calculating chart. The concepts and methods are proposed as alternatives to use of conventional involute-function tables and formulas. Relationships are given in nondimensional (ratio) form so that a minimum of data are applicable to all gear sizes. A new standard for pin measurements of gears and involute splines is suggested.