Notice of RetractionAn intelligent method for the control of magnitude of parabolic-like transmission error of a pair of gears

Notice of Retraction

After careful and considered review of the content of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE´s Publication Principles.

We hereby retract the content of this paper. Reasonable effort should be made to remove all past references to this paper.

The presenting author of this paper has the option to appeal this decision by contacting TPII@ieee.org.

Traditionally, the control of magnitude of parabolic-like transmission error of a pair of gears requires a lot of time-consuming trial-and-error manual procedures. To advance design efficiency, this paper has proposed an intelligent method to control efficiently and accurately the magnitude of parabolic-like transmission error. The intelligent method is devised based on the development of a system of governing equations under the conditions of tooth contact and constraints for magnitude of parabolic-like transmission error. Design parameters required to be determined are transformed into the roots of the system of equations. Just applying Newton´s root finding method, parameters needed to be designed are obtained automatically and efficiently. To show how to apply the proposed method, a pair of external gears composed of an involute gear and a circular-arc gear is adopted to be an example. The gear pair is verified numerically the magnitude of parabolic-like transmission error is really controlled.