Study on the spur involute gear meshing with planar enveloping hourglass worm based on local conjugate

Chen, Yonghong; Luo, Wei; Chen, Yan; Zhang, Guanghui

doi:10.1177/0954406217708215

Cited by 13 publications

(3 citation statements)

References 26 publications

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“…Zou (Zou et al, 2020) proposed a backlash control method for beveloid gears and carried out backlash control experiments under alternating load conditions. Chen (Chen et al, 2019) established a mathematical model of the involute beveloid gear enveloped toroidal worm drive pair, and investigated the effect of design parameters (helix angle, transmission ratio, normal modulus, and pressure angle) on gear meshing. Wu (Wu et al, 2009) proposed an approach for loaded tooth contact analysis of skew conical gear drives in approximate line contact.…”

Section: The Analysis Of Contact Ratio Of Involute Internal Beveloid ...mentioning

confidence: 99%

The analysis of contact ratio of involute internal beveloid gears with small tooth difference

YAN

Song

Zhu

et al. 2022

JAMDSM

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This paper proposes a calculation method for the contact ratio of internal beveloid gear pairs with small tooth number difference (IBGPSTND) based on the finite element method (FEM). The mathematical model and finite element model of the IBGPSTND are established. The influence of the design parameters of the IBGPSTND on the contact ratio is studied. The difference between the contact ratio calculated by the analytical method and the FEM is analyzed. The results show that the number of teeth difference, the addendum coefficient, and the pitch cone angle have a greater influence on the contact ratio. Under the influence of the multi-tooth elastic meshing effect, the contact ratio of IBGPSTND calculated by the analytical method and the FEM is significantly different. The increase of the load torque will aggravate the effect of the multi-tooth elastic meshing effect and increase the contact ratio, and a larger contact ratio can effectively reduce the maximum Mises stress and increase gear meshing stiffness.

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Section: The Analysis Of Contact Ratio Of Involute Internal Beveloid ...mentioning

confidence: 99%

The analysis of contact ratio of involute internal beveloid gears with small tooth difference

YAN

Song

Zhu

et al. 2022

JAMDSM

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“…The gear tooth surface of the worm gear is smooth, and is shaped by a flying tool whose cutting edge is identical to the profile of the entering edge of the worm. Chen et al [17] presented a novel hourglass worm drive named as involute gear meshing with a planar-enveloping hourglass worm drive. They studied the theory of tooth contact analysis of the hourglass worm drive, which is developed based on numerical and finite element analyses.…”

Section: Introductionmentioning

confidence: 99%

Determination of contact pattern for double enveloping worm gear

Połowniak

Sobolak

Marciniec

2020

Advances in Manufacturing Science and Technology

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The paper presents the method of determining geometric contact pattern by using the direct computer-aided design (CAD) method for ideal globoid worm gear in which mounting deviations are considered. The tooth contact analysis was performed for all cycle of worm rotation. Based on the results of temporary contact pattern, graphical characteristics of the contact area size depending on worm position were made. A complete analysis of the correctness of gear meshing can be obtained based on presented method. If the worm or worm wheel is incorrectly designed in terms of the geometry, the meshing simulation of CAD models can indicate the collision. Geometric contact pattern analyses were made at two pressure angles of ideal gear. The analysis of the influence of mounting deviations was done against one selected pressure angle and one gear position.

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“…4,5 In identical dimensions of a worm pair, the number of simultaneous meshing teeth of the hourglass worm gears is more than the number of the cylindrical worm pair. 6–8 In aspect of microcosmic engaging performance, hourglass worm drives have a greater radius of induced normal curvature, distribution of the instantaneous contact line nearly tooth height direction, larger lubrication angular, 9 etc. Therefore, the bearing capacity and transmission performance of the hourglass worm gears is outstanding, and then they are widely used in metallurgy, mining, petroleum, and other heavy-duty transmission applications.…”

Section: Introductionmentioning

confidence: 99%

A novel specific four-axis linkage method for processing the hourglass worm

Qiu

Zhang

Zhou

et al. 2019

Proceedings of the Institution of Mechanical Engineers, Part C:

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To improve the flexibility of hourglass worm processing equipment, a specific four-axis linkage method for processing hourglass worm, which is called CZXB method, is presented in the paper. Based on the forming principle of the hourglass worm, machining principle and the traditional processing method were elaborated in detail. And then, the CZXB method that aims to apply four feed-movements linkage to simulate the conjugated rotary motions between the worm and its worm gear was proposed. According to the basic theory of rigid body kinematics, the scientific and feasibility of the CZXB method were demonstrated. Based on the computer numerical control machining simulation system, VERICUT, a virtual model of the machine tool with CZXB function, was established. A multi-thread hourglass worm was taken as an example to simulation processing by the CZXB method. Trial manufacturing was performed: tooth grooves of the hourglass worm were cut out by the traditional method, and tooth surfaces of the hourglass worm were finishing machined by the CZXB method. The result shows that machining center distance of the CZXB method is less than center distance of the worm gear pairs. Implementing the CZXB method can significantly enhance the flexibility of machining equipment of the hourglass worm.

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Study on the spur involute gear meshing with planar enveloping hourglass worm based on local conjugate

Cited by 13 publications

References 26 publications

The analysis of contact ratio of involute internal beveloid gears with small tooth difference

The analysis of contact ratio of involute internal beveloid gears with small tooth difference

Determination of contact pattern for double enveloping worm gear

A novel specific four-axis linkage method for processing the hourglass worm

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