Abstract:A geometric relationship and mathematical model of pressure angle of elliptical gears are developed based on the
theory of gearing.

Some constraints of pressure angle are presented in order to prevent gear teeth from coming out of mesh.

The results show that the pressure angle is a function of contact position and increases as the eccentricity of the pitch
curve grows, which is very different from circular gears.

For the sake of higher meshing efficiency, the pressure angle should not

exceed an admissible value. The results of this work should be helpful in the design, manufacture and measurement of elliptical gears.

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