Theoretical and experimental investigations on parallel-axis gear transmission with tubular meshing surfaces

Advances in Mechanical Engineering

Luo

et al. 2017

Based on the space curve meshing equation, in this article, a geometry design of a novel circular arc helical gear mechanism with pure rolling for parallel transmission was presented. Different from conventional circular arc gears, the meshing points of circular arc helical gears were limited at the instantaneous centre of rotation. The parameter equations describing the contact curves for both the driving gear and the driven gear were deduced from the space curve meshing equation, and parameter equations of the concave-convex circular arc profiles were established both for internal meshing and external meshing. Furthermore, a formula for the contact ratio was presented, and the impact factors influencing the contact ratio were discussed. Then, the parameter design was presented for the geometry parameters of tooth profiles, such as normal pitch, tooth height and tooth thickness. Using the deduced equations, several numerical examples were then considered, and prototype samples were produced to experimentally validate the contact ratio equation and the theoretical kinematic performance. The circular arc helical gear mechanism investigated in this study showed a high gear transmission performance such as a pure rolling meshing, a high contact ratio and a large comprehensive strength, when considering engineering applications.

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“…Definition u Angle between two angular velocity vectors, u = 08 or 1808 i 12 Gear ratio m n Normal module z 1 Tooth number b…”

Section: Symbolmentioning

confidence: 99%

Section: Space Curve Meshing Coordinate Transformation Matrix For Parallel Transmissionmentioning

confidence: 99%

Section: Calculation Of Sliding Ratios For Cahgmmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Geometry and parameter design of novel circular arc helical gears for parallel-axis transmission

Advances in Mechanical Engineering

Luo

et al. 2017

show abstract

“…Then, Chen and colleagues 14,15 further developed the conjugated curves meshing theory including the selection of arbitrary contact vector directions, design of new circular arc tooth profiles, 16 geometric and contact characteristics of tubular meshing tooth surfaces, [17][18][19] and sliding ratio analysis for conjugated curve gears. 20 Figure 1 shows a general design of tooth profiles for the abovementioned two types of meshing theories. First, a driving contact curve or contact surface was selected, and then, the conjugated driven contact curve or contact surface was calculated using the meshing equations of space curve meshing or surface meshing, respectively.…”

Section: Introductionmentioning

confidence: 99%

Nonrelative sliding gear mechanism based on function-oriented design of meshing line functions for parallel axes transmission

Advances in Mechanical Engineering

Zeng

2018

In this article, the design of a nonrelative sliding gear mechanism for parallel axes transmission is presented. First, the general meshing line functions were actively designed for the nonrelative sliding transmission between parallel axes. The parametric equations of contact curves on the driving and driven gears were deduced by the coordinate transformations of function-oriented design of meshing line functions. The meshing between two contact curves on driving and driven gears follows the principle of space curve meshing. Based on two types of motion equations of meshing points, the parametric equations of driving and driven tooth surfaces were deduced according to the helical motion along the calculated contact curves. According to the calculation equations, two pairs of numerical examples were designed and material prototype samples were fabricated to experimentally validate the kinematic performances. After the two types of meshing line motion functions for nonrelative sliding meshing for parallel axes transmission were analyzed, a tooth contact comparative analysis was carried out between the nonrelative sliding gears with uniform motion of meshing points and involute gears, exhibiting better performances. This article introduces a new design method of nonrelative sliding gear mechanism for parallel axes transmission based on function-oriented design of meshing line functions.

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Review of Research on Space Curve Meshing Theory and Its Applications

Advances in Mechanical Design

et al. 2017