Design and Analysis of Novel Non-Involute Cylindrical Gears with a Curved Path of Contact

Dong, Hui; He, Qingtuo; Xiao, Jianying; Cao, Jia

doi:10.3390/math10224290

Cited by 4 publications

(3 citation statements)

References 34 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As shown in Figure 1, In a planetary gear train, the meshing lines of the external and internal gear pairs need to be consistent to achieve the correct meshing of the planetary gear train. The curved meshing line internal meshing cylindrical gear proposed in this paper is a part of the planetary gear system, together with the curved meshing line external meshing cylindrical gear proposed in reference [29], which forms a curved meshing line planetary gear train. Therefore, the construction method of the meshing line of the internal meshing gear in this thesis is the same as that of reference [29], but only differs in the length of the meshing line.…”

Section: Designation Of Curved Meshing Linementioning

confidence: 99%

“…The curved meshing line internal meshing cylindrical gear proposed in this paper is a part of the planetary gear system, together with the curved meshing line external meshing cylindrical gear proposed in reference [29], which forms a curved meshing line planetary gear train. Therefore, the construction method of the meshing line of the internal meshing gear in this thesis is the same as that of reference [29], but only differs in the length of the meshing line. As shown in Figure 2, the curved meshing line consists of two parabolas located in the first and third quadrants.…”

Section: Designation Of Curved Meshing Linementioning

confidence: 99%

“…The meshing line intersects with the internal gear tooth apex circle at point D1 and the external gear tooth apex circle at point D2. Based on the construction method in reference [29], the meshing line located in the first quadrant can be expressed by the following equation:…”

Section: Designation Of Curved Meshing Linementioning

confidence: 99%

See 2 more Smart Citations

Numerical Analysis of Tooth Contact and Wear Characteristics of Internal Cylindrical Gears with Curved Meshing Line

Jia,

Zhang,

2024

Applied Sciences

Self Cite

View full text Add to dashboard Cite

In order to improve the contact strength and reduce the sliding friction of the gear pair, an internal cylindrical gear pair with a curved meshing line is studied in this paper. Firstly, a curved meshing line is designed. The tooth profiles of the internal gear pair with the designed meshing line are calculated by using differential geometry and the gear meshing principle. Secondly, a wear model is established by combining the finite element method and the Archard wear formula. Then, a numerical simulation is conducted; the relative curvature, sliding coefficient, sliding distance, maximum contact pressure, transmission error, and wear depth are calculated. Ultimately, the variation law of tooth surface wear of new gear with and without installation errors is observed under different stress cycles. On this basis, the influence of tooth modification on tooth surface wear is further researched. Through the results, the advantages of the introduced novel internal cylindrical gears in wear resistance are further demonstrated. The study in this paper provides new research ideas and methods for gear wear research and gear design.

show abstract

Section: Designation Of Curved Meshing Linementioning

confidence: 99%

Section: Designation Of Curved Meshing Linementioning

confidence: 99%

See 1 more Smart Citation

Numerical Analysis of Tooth Contact and Wear Characteristics of Internal Cylindrical Gears with Curved Meshing Line

Jia,

Zhang,

2024

Applied Sciences

Self Cite

View full text Add to dashboard Cite

show abstract

Geometric design and contact analysis of internal meshing gears with elliptical contact path

Chu,

Shang,

Dong

2024

Proceedings of the Institution of Mechanical Engineers, Part C:

View full text Add to dashboard Cite

This study proposes a design method of internal meshing gear with elliptical contact path, and its contact characteristics are analyzed. The tooth profile of the internal meshing gear is actively designed based on elliptical meshing line (EML). Firstly, the elliptic meshing line is established according to the principle of differential geometry. The intersection points of the index circle and the tooth top circle of the internal meshing gear are on the meshing line. And the length of the minor axis of the elliptical meshing line can be set arbitrarily. Secondly, based on the rack equation and plane coordinate transformation, the tooth top profile equation of the EML gear was derived. Finally, the root tooth profile equations are derived from the top tooth profile equations based on the gear meshing principle. The theoretical model of EML gear is verified by finite element method. The contact stress, meshing stiffness and transmission error of minor axis of elliptic meshing line under different lengths are analyzed. The results show that by adjusting the length of the minor axis appropriately, the contact stress, mesh stiffness and transmission error of the EML gear will be reduced accordingly. Compared with involute gears, the contact stress of EML gears is reduced by 58.76%, the mesh stiffness is increased by 68.38%, and the transmission error is reduced by 40.62%. The contact performance of internal gears is greatly improved. By modifying the minor axis length of the elliptic meshing line of EML gear, the tooth profile of EML gear can be automatically modified through the equation relationship between the minor axis length and the tooth profile, so that the tooth profile design is more efficient. This study provides a reference for improving the performance of internal meshing gears.

show abstract

Modelling Method and Meshing Characteristics of a Novel Curve-Surface Conjugate Internal Gear Drive

Ye,

Zhang,

Wang

et al. 2024

Chin. J. Mech. Eng.

View full text Add to dashboard Cite

Space exploration has become a major focus in the field of technology, with gear transmissions in aerospace equipment playing a crucial role. In the extreme environment of space, gear transmissions face challenges like large temperature differentials, deformation and maintenance difficulties, which will severely impact transmission accuracy and service life. To meet the growing demands for high-performance gear transmissions with high transmission efficiency and error adaptability in the aerospace field, this paper proposes a novel curve-surface conjugate internal gear drive consisting of an involute internal gear and a curve-surface gear. The fundamental theory of curve-surface conjugation is introduced, and the construction method for curve-surface gear based on a selected contact path and meshing tube is presented. The analysis models including induced curvature, sliding ratio and tooth contact analysis with errors (ETCA) are simulated to evaluate the meshing characteristics. Additionally, prototypes are manufactured and experimental setups are established to validate the transmission performance. These results indicate that as the rotational speed increases, the transmission efficiency of the curve-surface conjugate internal gear drive improves, which is contrary to the trend observed in involute gear drives. And the transmission efficiency of the curve-surface conjugate internal gear drive surpasses that of the involute gear drive at higher rotational speeds. Moreover, this novel gear drive exhibits excellent error adaptability, maintaining intact contact paths and high transmission efficiency even in the presence of assembly errors. This study provides new ideas for the design and manufacture of high-performance gear transmissions from the perspective of spatial geometric elements.

show abstract

Design and Analysis of Novel Non-Involute Cylindrical Gears with a Curved Path of Contact

Cited by 4 publications

References 34 publications

Numerical Analysis of Tooth Contact and Wear Characteristics of Internal Cylindrical Gears with Curved Meshing Line

Numerical Analysis of Tooth Contact and Wear Characteristics of Internal Cylindrical Gears with Curved Meshing Line

Geometric design and contact analysis of internal meshing gears with elliptical contact path

Modelling Method and Meshing Characteristics of a Novel Curve-Surface Conjugate Internal Gear Drive

Contact Info

Product

Resources

About