Design of Geometrical Parameters and Kinematical Characteristics of a Non-circular Gear Transmission for Given Parameters

Maláková, Silvia; Urbanský, Matej; Fedorko, Gabriel; Molnár, Vieroslav; Sivák, Samuel

doi:10.3390/app11031000

Cited by 24 publications

(21 citation statements)

References 34 publications

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“…Unlike spur gears, the transmission ratio i 12 of non-circular gears is variable, that is, the position of instant center p, r 1 , and r 2 are changed. 9 The trajectory of the instant center on the helical non-circular gears 1 and 2, that is, the instant center line of gears is the pitch curve of the gear, which is called the pitch circle line in the spur gear. The pitch curve equation of driving wheel 1 can be obtained as…”

Section: Non-circular Gear Transmission Based On Variable Transmissio...mentioning

confidence: 99%

Research on non-circular helical gear NC hobbing linkage control scheme based on variable transmission ratio

Liu

Zhu

2022

Proceedings of the Institution of Mechanical Engineers, Part B:

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Non-circular helical gears, having the advantages of cams and cylindrical gears, are widely used on various occasions, whose precision machining has always been a research focus. With the accuracy requirements increasing of non-circular gears, upgrading non-circular gear hobbing models is more and more important. This paper takes the non-circular helical gears hobbing with moving axis as the research object, and establishes the ellipse standard system for high-order non-circular gears, and derives the linkage mathematical model for machining helical non-circular gears with hobbing cutters. In this paper, a preliminary design for the processing of non-circular gear hobbing is carried out.

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Section: Non-circular Gear Transmission Based On Variable Transmissio...mentioning

confidence: 99%

Research on non-circular helical gear NC hobbing linkage control scheme based on variable transmission ratio

Liu

Zhu

2022

Proceedings of the Institution of Mechanical Engineers, Part B:

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“…The pitch curves of the former have no explicit function 3,4 and are limited by the correct meshing conditions of the conjugate pair, so they are difficult to design and manufacture. The pitch curves of the latter (e.g., elliptical gear) can be expressed by functions 5 , which has numerous applications. Among them, the family of elliptical gears is widely used due to their excellent performances.…”

Section: List Of Symbols Amentioning

confidence: 99%

Design of piecewise deformed elliptical gear with closed pitch curve and its conjugate pair

Liu

et al. 2022

Sci Rep

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The family of elliptical gears with closed pitch curves includes elliptical gears and deformed elliptical gears. Elliptical gears are not only the most widely used non-circular gears but also the research hotspot in the field of non-uniform transmission. However, adjusting the shape of its pitch curve is difficult, which seriously restricts its popularization. This article proposes a piecewise deformed elliptical gear with a closed pitch curve, which realizes the unity of all kinds of elliptical gears in the mathematical model, makes the shape of the pitch curve and gear ratio easier to adjust, and expands the connotation and application scope of the family of elliptical gears. Moreover, the design approach of transmission with piecewise deformed elliptical gear was studied, and the inspection method of transmission performance was provided. The internal relationship between piecewise deformed elliptical gears and the family of elliptical gears was then analyzed. Finally, the method of computer-aided design (CAD) system developed was also provided. Additionally, a case was provided to verify the above theories. The designed conjugate pair can realize a correct meshing and adjust the gear ratio more flexibly, laying a theoretical foundation to expand the application field of non-uniform transmission.

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“…Each matrix constructed in this way (11) and (13) takes the dimension

and in [ 34 , 38 ] the derived elements for each matrix are listed.…”

Section: Stability Concept Of Thin-walled Shells Proposal Of Fixture With Elliptical Cross-section and Manufacturing Shell Specimenmentioning

confidence: 99%

Stability Loss Analysis for Thin-Walled Shells with Elliptical Cross-Sectional Area

et al. 2021

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The aim of the scientific contribution is to point out the possibility of applicability of cylindrical shells with a constant elliptical cross-sectional shape for stability loss analysis. The solution to the problem consists of two approaches. The first approach is the experimental measurement of critical force levels, where the work also describes the method of production of the sample and jigs that cause the desired elliptical shape. The second approach is solving the problem in the use of numerical methods—the finite strip method together with the finite element method.

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Design of Geometrical Parameters and Kinematical Characteristics of a Non-circular Gear Transmission for Given Parameters

Cited by 24 publications

References 34 publications

Research on non-circular helical gear NC hobbing linkage control scheme based on variable transmission ratio

Research on non-circular helical gear NC hobbing linkage control scheme based on variable transmission ratio

Design of piecewise deformed elliptical gear with closed pitch curve and its conjugate pair

Stability Loss Analysis for Thin-Walled Shells with Elliptical Cross-Sectional Area

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