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

Qiu, Xinyang; Zhang, Yanqin; Zhou, Qiwu; Zheng, Fangyan

doi:10.1177/0954406219896815

Cited by 5 publications

(6 citation statements)

References 13 publications

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“…According to equations ( 13) and ( 14), the coordinates of (n 1 ) o1 = [n xo1 , n yo1 , n zo1 ] T in s o1 can be obtained by equation (15).…”

Section: Grinding Methods Of Toroidal Worm Wheel Hob's Relief Surfacesmentioning

confidence: 99%

“…The toroidal worm wheel hob has the characteristics of variable tooth thickness, variable tooth shape, and variable helix angle. [15][16][17] Based on the throat helix angle, Yang et al 18 has provided a method for generating the spiral rake faces of the planner enveloping toroidal worm wheel hob with multiple helixes, where the spiral rake face is machined by a cylindrical generating surface. Liu et al 19 provides a relief grinding method for the planner double-enveloping worm wheel hob by a plane grinding wheel, and the land width and relief angle on the land edge can be precise obtained.…”

Section: Introductionmentioning

confidence: 99%

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Study on relief grinding interference checking method of toroidal worm wheel hob

Rui

Zhang³

2022

Advances in Mechanical Engineering

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The cutting tooth density of the toroidal worm wheel hob affects the quality of the hobbed worm wheel surface. The more the number of the cutting teeth, the higher the accuracy of the hobbed worm wheel surfaces. However, if the tooth density is greater, it’s easier to cause the grinding wheel to interference with other cutting teeth when grinding the relief surfaces, and the structure of the adjacent cutting teeth will be damaged. Therefore, this paper studies the checking method of grinding interference of relief surfaces, and then puts forward a design method of the maximum cutting tooth density to avoid grinding interference. Based on the point contact generation method, a relief grinding method of the toroidal worm wheel hob is proposed, and the grinding motion model is established. By analyzing the grinding processes of each relief surface, the variation law of grinding interference is obtained, and the relief grinding checking method is established based on the defined interference angles. The maximum interference position is determined, and the maximum number of the cutting tooth to avoid grinding interference is obtained. The study provides the key theoretical basis for the precision manufacturing of the high-density complex toroidal worm wheel hob.

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“…According to equations ( 13) and ( 14), the coordinates of (n 1 ) o1 = [n xo1 , n yo1 , n zo1 ] T in s o1 can be obtained by equation (15).…”

Section: Grinding Methods Of Toroidal Worm Wheel Hob's Relief Surfacesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Study on relief grinding interference checking method of toroidal worm wheel hob

Rui

Zhang³

2022

Advances in Mechanical Engineering

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“…The machining program is obtained by calculating the machining parameters of all helical lines on the left and right allowance surfaces. Logical relationships of the axes on a CNC lathe with spline S, X-axis and Z-axis are built in VERICUT (Liu, et al, 2016;Qiu, et al, 2020). The turning tool and the worm blank are installed to the corresponding location.…”

Section: Machining Of the Allowance On A Cnc Lathementioning

confidence: 99%

Research on equaling design and machining method of roughing allowances of a dual-cone enveloping toroidal worm

Rui

Xia

2022

JAMDSM

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method and high-efficiency machining method for the consistency rough machining allowance of the toroidal worm are not perfect, which is not conducive to improving the grinding efficiency and quality of the toroidal worm. Aiming at the design and processing of the toroidal worm roughing allowance, this paper studies the design method of the toroidal worm roughing allowance surface, and proposes a machining method of the allowance surface used in an ordinary CNC lathe. First, according to the forming principle of the dual-cone enveloping toroidal worm, the helical surfaces of the multi-thread toroidal worm with a given throat tooth thickness are established. Then, each point on the helical surface is rotated by an allowance angle around the axis of the worm, and the mathematical model of the roughing allowance surface is established by setting the arc length of each point rotation equally. The designed allowance surface is discretized into a series of helical lines, and a series of helical lines are discretized into points. The cone helical line interpolation is used between two adjacent points for turning the allowance surface based on an ordinary CNC lathe. Based on the axial indexing method, different helical lines can be machined by adjusting the starting points X and Z of the tool when processing helical surfaces at different positions. Through research, the allowance equalization and rough machining of the variable-lead enveloping helical surface are realized, which provides a new method for the processing of complex and special-shaped helical surfaces.

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“…The rake face of toroidal worm gear hob is also a helical face, l ′ is the helix of indexing circle on the rake face, and the lead angle at each point on l′ is η . According to the calculation formula 19,22 of helix lead angle:…”

Section: Mathematical Model Of Rake Facementioning

confidence: 99%

“…At any point on l, the lead angle of l is g. And at each radial section Z i = 0 of the hob basic worm, the lead angle on the helix of the indexing circle is equal. The rake face of toroidal worm gear hob is also a helical face, l# is the helix of indexing circle on the rake face, and the lead angle at each point on l# is h. According to the calculation formula 19,22 of helix lead angle:…”

Section: Expression Of Fixed Transmission Ratiomentioning

confidence: 99%

Mathematical modeling and forming method of rake face of toroidal worm gear hob based on conical production surface

Yang

Chen

Cui

et al. 2022

Advances in Mechanical Engineering

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In order to improve the cutting performance of toroidal worm gear hob and the tooth surface accuracy of hobbing worm gear, to control the absolute value of the side rake angle of each cutter tooth to be smaller and more balanced on the left and right sides, a method of developing the rake face of toroidal worm gear hob with spiral groove by using conical production surface is proposed. According to the theory of gear meshing rationality, the mathematical model of the rake face is established. The analysis and calculation example results show that the absolute value of the rake angle on both sides changes with the transmission ratio coefficient. By studying this change law, the optimal milling transmission ratio coefficient k = 0.886 is obtained. Meanwhile, the corresponding absolute value of the rake angle is between ±4.5°, which reduce the absolute value of the rake angles on both sides of the cutter teeth effectively and make the rake angles on the left and right sides be more balanced. The spiral groove was simulated, and the rake angle was measured in the simulation software. The measured results are consistent with the calculated results, which prove the correctness of this method.

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

Cited by 5 publications

References 13 publications

Study on relief grinding interference checking method of toroidal worm wheel hob

Study on relief grinding interference checking method of toroidal worm wheel hob

Research on equaling design and machining method of roughing allowances of a dual-cone enveloping toroidal worm

Mathematical modeling and forming method of rake face of toroidal worm gear hob based on conical production surface

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