Geometric error detection of curve-face gear pairs

Abstract

A new type of gear pair, the curve-face gear pair, composed of a curve-face gear and a non-circular gear with mutual engagement, was proposed to achieve variable ratio transmission of motion and power between the intersecting axes. Geometric error detection is required to evaluate the grade of the manufactured gears. Due to the complexity of the curve-face gear, direct detection has been conducted in a very limited way. In this article, a measurement method aimed at curve-face gear pair artifacts is presented based on the computer numerical control gear measuring center. By comparing the measured coordinate data of the surface points with the corresponding theoretical data, various errors such as tooth profile error and pitch deviation can be obtained, and accuracy grades are evaluated with reference to accuracy standards for cylindrical gear and bevel gear. The developed method is simple and robust without requiring a special measuring device; hence, it can be applied for the industrial practice as a means for measuring the tooth profile and pitch deviations which cannot be measured by conventional methods.

The Mathematical Model of Curve-Face Gear and Time-Varying Meshing Characteristics of Compound Transmission

“…Then, the difference value between and as well as the values of above parameters are also present in Figure 17. e o and e n represent the interval length of a tooth surface relative error obtained by simulation machining method in our previous research [44,46] and mathematical method in current work, respectively. The maximum and minimum relative error ε nmax and ε nmin of the left curve-face gear tooth surface in a meshing cycle can also be obtained.…”

“…Due to the consideration of the machining model error after simulation finishing, the actual relative error of the gear tooth surface can be obtained more accurately. and represent the interval length of a tooth surface relative error obtained by simulation machining method in our previous research [44,46] and mathematical method in current work, respectively. The maximum and minimum relative error and of the left curve-face gear tooth surface in a meshing cycle can also be obtained.…”

A coaxial multi-ring detection method for measuring the pitch and thickness accuracy of cylindrical gears

“…The geometric parameter error of curved gears cannot be directly detected due to their complexity. Lin et al 6 proposed a method to measure the artifact of curved gear pairs using the computer numerical control gear measurement center, comparing the measurements with theoretical data.…”