Study on the Form Error Evaluation Model of a Conical-Shank Ball-End Milling Cutter

Wu, Chang-Tzuoh; Chen, Cha’o-Kuang

doi:10.1007/pl00003953

Cited by 3 publications

(5 citation statements)

References 18 publications

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“…2. Let the straight line passing through point P 11 and parallel to L be L 1 . Let the straight line passing through point P 12 and parallel to L be L 2 .…”

Section: Fig 2 Control Points and Control Linesmentioning

confidence: 99%

“…For example, Liu [9] discussed models of minimum circumscribed cylinders, while Chen, Tan and Tang [10] provide models of minimum circumscribed spheres. Wu and Chen [11] discussed the model of a conical-shank ball-end milling cutter. Chen, Chen and Tang [12] discussed the differences in quality evaluation for the sampling inspection of drills with taper or cylindrical shanks.…”

Section: Introductionmentioning

confidence: 99%

“…Line that has a minimum distance from P i L Line that has a minimum distance from P i L 1 , L 2 Control lines l i Distance between point P i on oblique line to L P 11 , P 12 Points corresponding to ∆z 11 and ∆z 12 on control lines P i Measured points on cylindrical shank of the cutter P i Projection of P i on coordinate plane x -z P i Projection of P i on coordinate plane y -z P j Measured points on the cylinder P k Measured points on the circular-arc-type revolving surface P q Measured points on the corner radius of revolving surface R Radius of the circular-arc R Radius of the cylinder R 1 Radius of the intersecting of corner-arc and circulararĉ R Radius of the minimum circumscribed cylinder ∆R j Tolerance of the cylinder ∆R k Tolerance of the circular-arc r…”

mentioning

confidence: 99%

“…Radius of the corner arc s Distance between L and L 1 x 0 , y 0 , z 0 Coordinates of trajectory center z 0 Vertical coordinate of center of circumscribed circular-arc z k Temporary vertical coordinate ∆z i Residual error ∆z 11 Maximum residual error ∆z 12 Minimum residual error θ i Angle of rotation of L 1 around point P 11 θ…”

mentioning

confidence: 99%

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Models for evaluating the revolving cutter profile of circular-arc end mills

Wang¹,

Chen²,

Hwang³

et al. 2005

Int J Adv Manuf Technol

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This paper presents models for defining the minimum circumscribed cylinder (MCC) of the cutter shank, the minimum circumscribed circular-arc-type revolving surface (MCCRS) and the minimum circumscribed corner arc revolving surface (MC-CARS) with a spiral groove. A systematic modeling procedure is presented for the assessment of the contour quality of the circular-arc end milling (CAEM) cutters with a cylindrical shank. The axis of the MCC of the cylindrical shank of a revolving cutter with a circular-arc generator curve and a corner radius is taken as the datum line. The profile tolerances and errors are estimated. The presented models are all illustrated and verified by example. This approach can be generalized to a cutter with more than two circular arcs in its shape profile. The paper provides a valuable reference for the evaluation of the actual contour quality of this type of revolving cutter.

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“…2. Let the straight line passing through point P 11 and parallel to L be L 1 . Let the straight line passing through point P 12 and parallel to L be L 2 .…”

Section: Fig 2 Control Points and Control Linesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

See 2 more Smart Citations

Models for evaluating the revolving cutter profile of circular-arc end mills

Wang¹,

Chen²,

Hwang³

et al. 2005

Int J Adv Manuf Technol

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show abstract

“…1 Ball-end cutter with a concave-arc generator models of minimum circumscribed spheres. Wu and Chen [15] discussed the model of a conical-shank ballend milling cutter. Chen et al [16] discussed the diVerences in quality evaluation for the sampling inspection of drills with taper or cylindrical shanks.…”

Section: Introductionmentioning

confidence: 99%

Quality assurance for concave-arc ball-end milling cutters

Chen¹,

Lai

Chen

2003

Proceedings of the Institution of Mechanical Engineers, Part B:

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This paper presents a systematic modelling procedure for assessing the pro®le quality of concave-arc ball-end (CABE) milling cutters with a cylindrical shank. CABE milling cutters are widely used in three-axis numerical control (NC) machines for producing dies and moulds of complicated surface features. Evaluation of the contour quality of the CABE milling cutter is crucial in enhancing machining accuracy and e ciency. In order adequately to describe the shape of the clamped cutter, the centre-line axis of the minimum circumscribed cylinder of the cylinder shank is taken as the referenced datum axis. The minimum circumscribed concave-arc revolving surface and the minimum circumscribed spherical surface are carefully derived in sequence. The pro®le errors and tolerances are estimated. The quality of the CABE milling cutter is assured by using the proposed modelling procedure, and several numerical examples are presented to illustrate its eVectiveness. The results indicate that the present method is feasible and can be extended to enhance the quality of various revolving cutters.

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