Gear conjugate tooth profile design method based on given relative curvature

Abstract

The invention discloses a gear conjugate tooth profile design method based on a given relative curvature. The method comprises the steps of converting any given relative curvature between contact gearprofiles into a classic three-body system firstly, and selecting a generating point on an auxiliary body; and then ensuring instantaneous centers of three bodies in the coincidence state, and tracking the generating point on the auxiliary body with the set relative curvature to obtain the complete conjugate tooth profile generated when the other two gears are engaged with each other. Because therelative curvature of a curve can directly affect the contact stress between the gear tooth profiles, therefore, if the conjugate curve is used as the tooth profile of the gears, the relative curvature can become the basic geometric property that determines the Hertz contact stress; and because how to synthesize the tooth profile with the required relative curvature is very important to find the tooth profile with low contact stress, therefore, the design method is produced. By using the design method, the conjugate curve with the given relative curvature and a meshing pressure angle can be designed, and the method is simple and convenient, and has high application value.

Description

technical field [0001] The invention relates to a gear conjugate tooth profile design method based on a given relative curvature, and belongs to the technical field of gear tooth profile design. Background technique [0002] The modern gear industry is built on the use of involute circular gear tooth profiles, which are often used as standard components for power transmission. Although the W-N profile developed in recent years and the Logix profile have greatly improved the load-carrying capacity and pitting and corrosion resistance compared with the traditional involute profile, but due to the characteristics of the convex-convex meshing contact and the inherent Conjugate curve forming theory, the bearing capacity of the tooth profile has not been greatly improved. If the conjugate curve is used as the tooth shape of the gear, the relative curvature becomes the fundamental geometric property determining the Hertzian contact stress. Therefore, how to synthesize a tooth pro...

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Problems solved by technology

The method provides a design theoretical basis for the practical application of high-order denatured eccentric circular gears and their conjugate non-circular gears, and is conducive to the popularization and use of high-order denatured eccentric circular gears and their conjugate non-circular gears, but the method also There are certain limitations and deficiencies. First, the design method is mainly aimed at the eccentric circular gear and its conjugate non-circular gear pair. Secondly, the design method is to calculate the conjugate non-circular gear by the given eccentric circular tooth profile and its position and motion equation. The tooth profile of the pair, the designed conjugate tooth profile does not consider its load-bearing performance and meshing performance

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