A study of design and manufacturing models for circular-arc ball-end milling cutters

Chen, Weiya; Chang, Pai-Chi; Liaw, Shand-Dad; Chen, Weifang

doi:10.1016/j.jmatprotec.2004.07.086

Cited by 32 publications

(12 citation statements)

References 5 publications

(7 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(8) of the wheel representation in the tool coordinate system, the equation of the contact curve segment C1C2 on the edge Ei is derived with t as zero and h as zero, which is C,_2 = COS ;S COS e* rc-i-R-sine* R • sin j3 • cos e* , and e* e 0* , (14) where the parameter 0^ of the point Ci is "^c, = rc sin^ ß (15) , and ß Similarly, the equation of the contact curve segment C3C4 on the edge E2 can be found by setting t as zero and h as Hi, which is THi •sini3-l-i?-cosiS-cos0*] -r,.+R-sin0* I, and 0* e 9c3,0cJ (16) After finding all the points [h*, 9*, 0] of the contact curve, the flute surface E(i) is generated by sweeping the contact curve along the helical movement of the wheel. So the equation of the flute surface is…”

Section: Mathematical Model Of the Machined Flutementioning

confidence: 99%

“…The principle of these methods is that, at any point of the contact curve between the wheel and the flute, the flute surface normal passes through the wheel axis. The research works [8][9][10][11][12][13][14] applied this principle on making different end-mills. Although the given flute cross sections of the end-mills can be met, the calculated axial profiles of the wheels are complicated in shape.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A New and Accurate Mathematical Model for Computer Numerically Controlled Programming of 4Y1 Wheels in 2½-Axis Flute Grinding of Cylindrical End-Mills

Silai

Wang²,

Chen

et al. 2013

Journal of Manufacturing Science and Engineering

View full text Add to dashboard Cite

Solid carbide cylindrical end-mills are widely used in machining, and their helical flutes are crucial to their cutting peiformance. In industry, the flute is simply defined with four key parameters: the helical angle, the radial rake angle, the fluting angle, and the core radius, which are specified in an end-mill design. The flute shape is not fully defined, while it is ofien generated by a lAl or IV1 diamond wheel in 2^l2-axis computer numerically controlled (CNC) grinding. Unfortunately, the two simple wheels cannot make largely different flute shapes, preventing further improvement of the end-mills. Although no research result on how the flute geometry affects the end-mill cutting attribute has come into public yet, it is now necessary to employ more complicated wheels to grind flutes with the specified parameter values but much different flute shapes. For this purpose, the 4YI diamond wheel is employed in this work. However, the commercial tool grinding software cannot determine the dimensions and the set-up angle for the 4Y1 wheel. To address this problem, a new mathematical model of the flute parameters in terms of the dimensions and the setup angle of the 4Y1 wheel is formulated, thus, the 4Y1 wheel can be used in flute grinding. This work lays a foundation of using complex wheels to grind flutes with more shapes in order to improve the end-mill's cutting ability.

show abstract

Section: Mathematical Model Of the Machined Flutementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A New and Accurate Mathematical Model for Computer Numerically Controlled Programming of 4Y1 Wheels in 2½-Axis Flute Grinding of Cylindrical End-Mills

Silai

Wang²,

Chen

et al. 2013

Journal of Manufacturing Science and Engineering

View full text Add to dashboard Cite

show abstract

“…The axial curve equation of double-helix screw can be got from formulas (6) and (8). The axial curve of double-helix screw can be got as shown in Figure 2.…”

Section: Axial Curve Equation Of Double-helix Screwmentioning

confidence: 99%

“…There are many kinds of processing methods of screw, and they mainly include milling, hobbing, and grinding. The milling machining is most widely used, because of its high efficiency and good stability [3][4][5][6][7]. In screw milling processing, the precise calculation of cutter profile for formed milling cutter is the key to realize high precision machining, and it is also the foundation of manufacturing formed milling cutter [8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Design of Formed Milling Cutter for Double-Helix Screw Based on Noninstantaneous Envelope Method

Fan

Yong-jun

2013

Advances in Mechanical Engineering

View full text Add to dashboard Cite

The design theory and method of formed milling cutter for double-helix screw of progressing cavity pump are presented. Through analyzing the shape and characteristic parameters of double-helix screw, the helicoids equation and axial curve equation of doublehelix screw were established. According to the relative position relations between formed milling cutter and double-helix screw in the machining process, the geometric mapping relationship of screw coordinate system and formed milling cutter coordinate system was established by using the coordinate transformation theory. Based on noninstantaneous envelope method and the meshing conditions between formed milling cutter and double-helix screw, the contact line equations were established by minimum value method. By analyzing the machining errors caused by resharpening the formed milling cutter, the tooth back curve equation was established based on spiral of Archimedes, and the profile equation of formed milling cutter with constant back angle was got. On this basis, the formed milling cutter of processing double-helix screw was designed, and the cutter head and tool post were manufactured, respectively. The measuring results have shown that this method can satisfy the requirements of machining accuracy for double-helix screw. So this is an effective method to get formed milling cutter profile for double-helix screw.

show abstract

“…Tsai and Hsieh 1 presented an analysis method integrates design, manufacturing and numerical simulation to obtain suitable manufacturing model of the design and NC manufacturing of ball-end cutters and a helical edge curve with constant helix angle on the cylinder and the ball-head, the exact solution of the helical groove cross-sectional equation and the mathematical model of the grinding wheel cross section. In order to produce the exact shapes of helical cutting edges and grooves, Chen et al 2 first defined the helical angle as the angle between the tangential vector of screw line and the revolving axis on the circular-arc ball-end milling (CABEM) cutter. The shapes of cutting edge curves and groove surfaces of the CABEM cutter are systematically designed and manufactured using a proposed procedure of differential geometry and inverse envelope theory.…”

Section: Introductionmentioning

confidence: 99%

A new design and grinding algorithm for ball-end milling cutter with tooth offset center

Cheng

Ding

et al. 2014

Proceedings of the Institution of Mechanical Engineers, Part B:

View full text Add to dashboard Cite

Ball-end milling cutter with tooth offset center is widely used in machining industry, because it has higher machining efficiency and better stability compared with the ball-end milling cutter without tooth offset center. In addition, the tooth offset center has lower wear rate of the tool tip so the life of the milling cutter is improved. However, up to present, there is no mature and effective theory for the design and manufacture of this kind of milling cutters. This article presents a new mathematical model for S-shaped edge curve of the ball end taking the tooth offset center into account, which can construct accurate S-shaped edge curve for the ball-end cutting tools with tooth offset center as well as without tooth offset center. This model overcomes the complex computation and bad adaptability of the traditional modeling method. At the same time, a five-axis grinding algorithm for rake face of the ball end is also presented in this article. Finally, based on the application programming interface of CATIA™, a three-dimensional computer-aided design and computer-aided manufacturing system is developed. The accuracy and effectiveness of the grinding algorithm are verified by simulation in VERICUT™ and machining experiment in tool grinding machine.

show abstract

A study of design and manufacturing models for circular-arc ball-end milling cutters

Cited by 32 publications

References 5 publications

A New and Accurate Mathematical Model for Computer Numerically Controlled Programming of 4Y1 Wheels in 2½-Axis Flute Grinding of Cylindrical End-Mills

A New and Accurate Mathematical Model for Computer Numerically Controlled Programming of 4Y1 Wheels in 2½-Axis Flute Grinding of Cylindrical End-Mills

Design of Formed Milling Cutter for Double-Helix Screw Based on Noninstantaneous Envelope Method

A new design and grinding algorithm for ball-end milling cutter with tooth offset center

Contact Info

Product

Resources

About