Calculation and Characteristic Analysis of Tooth Width of Eccentric Helical Curve-Face Gear

Lin, Chao; Wu, Xianping

doi:10.1007/s40997-018-0239-9

Cited by 9 publications

(14 citation statements)

References 25 publications

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“…The same authors in article [11] proposed a fairly simple and accurate procedure for the automated formation of wheel teeth with an elliptical centroid. An eccentric helical toothed pair is a new type of geared pair consisting of a screw noncircular gear and an eccentric oblique curved face, which can implement the rotation of intersecting axes, as well as the movement of the output axes, proposed in [12]. It should be noted that the arcs of algebraic curves are applied when solving problems in different areas, for example, the systematization and analysis of multidimensionality [13].…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

“…Thus, the value of the center-to-center distance is not set but determined depending on the number of teeth n=π/α о , n 1 =π/φ о of the drive and driven wheels and the values of ρ о and angle ε. Substituting (12) in (11) could produce the required dependence φ=φ(α). If it is substituted in (6) along with constant (12), then the parametric equations of the curve could be obtained, on which it is possible to highlight the arc А 1 В 1 (Fig.…”

Section: Finding Arc Curves Describing the Profile Of The Teethmentioning

confidence: 99%

“…Substituting (12) in (11) could produce the required dependence φ=φ(α). If it is substituted in (6) along with constant (12), then the parametric equations of the curve could be obtained, on which it is possible to highlight the arc А 1 В 1 (Fig. 1, b) when changing the angle α within α=0…α о .…”

Section: Finding Arc Curves Describing the Profile Of The Teethmentioning

confidence: 99%

“…Fig. 2, a shows the curves constructed from equations ( 1) and ( 6) taking into consideration (12) and (11), on which we highlighted with thickened lines the arcs АВ and А 1 В 1 , corresponding to the change of angle α within α=0…α о . Visually, these arcs are congruent.…”

Section: Finding Arc Curves Describing the Profile Of The Teethmentioning

confidence: 99%

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Designing an outer toothed gear whose wheel teeth are outlined by the logarithmic spiral arcs

Pylypaka

Kresan

Volina

et al. 2021

EEJET

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Toothed gears are the most common mechanical gears in machine building, which are characterized by high reliability and durability, a constant transfer number, and which can transmit high torque. During toothed gear operation, the surfaces of the teeth slide, which gives rise to friction forces and wears their working surfaces. To prevent this, the surfaces of the teeth need constant lubrication. This paper considers the design of a gear tooth engagement, which does not have friction between the surfaces of the teeth since they roll over each other without slipping. The profile of the tooth of such a gear is outlined by congruent arcs, symmetrical relative to the line that connects the center of rotation of the toothed wheel with the top of the tooth. These symmetrical curves at the top of the tooth intersect at the predefined angle. In the depressions of the wheel, adjacent teeth also intersect at the same angle. Such a condition can be ensured by a curve that at all its points crosses the radius-vector emanating from the coordinate origin, also at a stable angle equal to half of the given one. This curve is a logarithmic spiral. If the number of teeth of the drive and driven wheels is the same, then their teeth are congruent. Otherwise, the profiles of the teeth would differ but they could be outlined by congruent arcs of the same logarithmic spiral of the same length taken from different areas of the curve. The minimum possible angle at the top of the teeth is straight. At acute angle, the toothed gear operation is impossible. To build gear wheels with a right angle at the top of the tooth, it would suffice to set the number of teeth of the drive and driven wheels. The center-to-center distance is calculated using the derived formula. The transfer number of such a gear is variable but, with an increase in the number of teeth, the range of its change decreases. The algorithm of wheel construction is given.

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Section: Literature Review and Problem Statementmentioning

confidence: 99%

Section: Finding Arc Curves Describing the Profile Of The Teethmentioning

confidence: 99%

Section: Finding Arc Curves Describing the Profile Of The Teethmentioning

confidence: 99%

Section: Finding Arc Curves Describing the Profile Of The Teethmentioning

confidence: 99%

See 2 more Smart Citations

Designing an outer toothed gear whose wheel teeth are outlined by the logarithmic spiral arcs

Pylypaka

Kresan

Volina

et al. 2021

EEJET

View full text Add to dashboard Cite

show abstract

“…About noncircular gears, Lin et al [9][10][11][12] studied the contact characteristics, kinematic characteristics, and load characteristics of noncircular gears, which laid a solid foundation for the popularization of noncircular gears. Han [13][14][15] studied the design method of noncircular gear tooth profile and established a multiaxis linkage model of CNC hobbing to realize digital manufacturing of noncircular gears.…”

Section: Introductionmentioning

confidence: 99%

Design of a Noncircular Planetary Gear Mechanism for Hydraulic Motor

Liu

Gong

et al. 2021

Mathematical Problems in Engineering

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Given the design difficulty and poor accuracy of tooth profile of noncircular gear used in noncircular gear hydraulic motor, it is proposed to reduce the design difficulty and improve the design accuracy by using arc-shaped pitch curve instead of noncircular pitch curve with continuously varying curvature. Based on the geometric relationship and transmission relationship of the noncircular planetary gear mechanism, a nonlinear programming model is constructed for the circular arc-shaped pitch curve. By solving the nonlinear programming model, a noncircular planetary gear mechanism with a modulus of m = 1.5 is designed. The noncircular gear mechanism with the arc-shaped pitch curve was machined and installed in a hydraulic motor, and an efficiency comparison experiment was conducted with a high-order elliptical noncircular gear mechanism with a continuously varying curvature. The experiment shows that the efficiency of the two noncircular gear mechanisms is basically the same, and the best speed range is 100–400 rpm. The noncircular planetary gear mechanism with an arc-shaped pitch curve designed in this paper has reasonable structure, correct transmission relationship, and simple design method, which shows that the design method proposed in this paper has a good engineering application value.

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A Generalized Algorithm and Simulation Verification of Non-circular Gear Tooth Surface Data Points

Li,

Huang,

Liu

et al. 2024

Iran J Sci Technol Trans Mech Eng

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Calculation and Characteristic Analysis of Tooth Width of Eccentric Helical Curve-Face Gear

Cited by 9 publications

References 25 publications

Designing an outer toothed gear whose wheel teeth are outlined by the logarithmic spiral arcs

Designing an outer toothed gear whose wheel teeth are outlined by the logarithmic spiral arcs

Design of a Noncircular Planetary Gear Mechanism for Hydraulic Motor

A Generalized Algorithm and Simulation Verification of Non-circular Gear Tooth Surface Data Points

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