Design of and research on a noncircular gear with a high-contact-ratio composite tooth profile.

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Bibliographic Details
Title: Design of and research on a noncircular gear with a high-contact-ratio composite tooth profile.
Authors: Liu, Jiangang1 (AUTHOR) ljg87@wuyiu.edu.cn, Du, Fengjiao1 (AUTHOR), Qi, Peng2 (AUTHOR), Shen, Tengfei1 (AUTHOR), Shen, Jingguo1 (AUTHOR)
Source: Journal of Mechanical Science & Technology. Oct2024, Vol. 38 Issue 10, p5479-5494. 16p.
Subjects: Backlash (Engineering), Eccentrics (Machinery), Teeth, Mathematical models, Curvature
Abstract: To address the issue of gear transmission error caused by noncircular gear backlash, enhancing the contact ratio of noncircular gears can prolong the meshing time of gear pairs, enhance the effective meshing line length, and consequently, reduce the transmission errors caused by gear backlash. Therefore, this study proposes a design method for high-contact-ratio variable-involute and incomplete variable-cycloid composite tooth profile (VIIVC-CTF). This method enhances the contact ratio of a small curvature radius pitch curve noncircular gear; derives a mathematical model for high-contact-ratio VIIVC-CTF; and analyzes the relationships of pitch curve ratio, rolling radius, and elliptical eccentricity with tooth profile shape, contact ratio, pressure angle, and curvature radius of high-contact-ratio composite tooth profile. Using a small curvature radius pitch curve noncircular gear as an example, a noncircular gear with high-contact-ratio composite tooth profile was manufactured. Tests were conducted to measure the tooth backlash and transmission ratio of the noncircular gear. Testing results showed that the tooth backlash of the high-contact-ratio composite tooth profile was smaller than that of the standard-involute tooth profile. The experimental, theoretical, and simulation values of the noncircular gear transmission ratio were consistent, validating the rationality of the design method for high-contact-ratio VIIVC-CTF. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:To address the issue of gear transmission error caused by noncircular gear backlash, enhancing the contact ratio of noncircular gears can prolong the meshing time of gear pairs, enhance the effective meshing line length, and consequently, reduce the transmission errors caused by gear backlash. Therefore, this study proposes a design method for high-contact-ratio variable-involute and incomplete variable-cycloid composite tooth profile (VIIVC-CTF). This method enhances the contact ratio of a small curvature radius pitch curve noncircular gear; derives a mathematical model for high-contact-ratio VIIVC-CTF; and analyzes the relationships of pitch curve ratio, rolling radius, and elliptical eccentricity with tooth profile shape, contact ratio, pressure angle, and curvature radius of high-contact-ratio composite tooth profile. Using a small curvature radius pitch curve noncircular gear as an example, a noncircular gear with high-contact-ratio composite tooth profile was manufactured. Tests were conducted to measure the tooth backlash and transmission ratio of the noncircular gear. Testing results showed that the tooth backlash of the high-contact-ratio composite tooth profile was smaller than that of the standard-involute tooth profile. The experimental, theoretical, and simulation values of the noncircular gear transmission ratio were consistent, validating the rationality of the design method for high-contact-ratio VIIVC-CTF. [ABSTRACT FROM AUTHOR]
ISSN:1738494X
DOI:10.1007/s12206-024-0921-3