0
Research Papers

Free-Form Flank Correction in Helical Gear Grinding Using a Five-Axis Computer Numerical Control Gear Profile Grinding Machine

[+] Author and Article Information
Yi-Pei Shih1

Department of Mechanical Engineering,  National Taiwan University of Science and Technology, No. 43, Sec. 4, Keelung Road, Taipei 10627, Taiwan, R.O.C.shihyipei@mail.ntust.edu.tw

Shi-Duang Chen

General ManagerLuren Precision Co., Ltd., No. 1-1, Li Hsin 1st Road, Hsinchu Science Park,Hsinchu 30078, Taiwan, R.O.C.

1

Corresponding author.

J. Manuf. Sci. Eng 134(4), 041006 (Jul 18, 2012) (13 pages) doi:10.1115/1.4006096 History: Received July 21, 2011; Revised January 16, 2012; Published July 18, 2012; Online July 18, 2012

To reduce form grinding errors, this paper proposes a free-form flank topographic correction method based on a five-axis computer numerical control (CNC) gear profile grinding machine. This correction method is applied not only to the five-axis machine settings (during grinding) but also to the wheel profile (during wheel truing). To achieve free-form modification of the wheel profile, the wheel is formulated as B-spline curves using a curve fitting technique and then normal correction functions made up of four-degree polynomials are added into its working curves. Additionally, each axis of the grinding machine is formulated as a six-degree polynomial. Based on a sensitivity analysis of the polynomial coefficients (normal correction functions and CNC machine settings) on the ground tooth flank and the topographic flank errors, the corrections are solved using the least squares method. The ground tooth flank errors can then be efficiently reduced by slightly adjusting the wheel profile and five-axis movement according to the solved corrections. The validity of this flank correction method for helical gears is numerically demonstrated using the five-axis CNC gear profile grinding machine.

Copyright © 2012 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

Coordinate system for wheel truing process

Grahic Jump Location
Figure 2

Coordinate systems of a universal form grinding machine

Grahic Jump Location
Figure 3

Contact line between the workpiece and the wheel during the form grinding process

Grahic Jump Location
Figure 4

B-spline curve fitting for the wheel axial profile

Grahic Jump Location
Figure 5

Normal correction function on the wheel axial profile

Grahic Jump Location
Figure 6

Coordinate systems for the grinding process on a five-axis CNC gear profile grinding machine

Grahic Jump Location
Figure 7

Topographic flank errors of the ground tooth surfaces

Grahic Jump Location
Figure 8

Wheel axial profile using a B-spline curve fitting

Grahic Jump Location
Figure 9

Flank sensitivity topographies corresponding to the corrective coefficients for the wheel profile

Grahic Jump Location
Figure 10

Flank sensitivity topographies corresponding to the zero-degree polynomial coefficients for the five-axis movement

Grahic Jump Location
Figure 11

Flank sensitivity topographies corresponding to the first-degree polynomial coefficients for the five-axis movement

Grahic Jump Location
Figure 12

Given flank topographic errors for the numerical example

Grahic Jump Location
Figure 13

Part of the sensitivity matrix [Sij] for single-flank grinding that corresponds to the corrective coefficients for the wheel profile and the polynomial coefficients for the five-axis movement

Grahic Jump Location
Figure 14

Corrections to the wheel axial profile

Grahic Jump Location
Figure 15

Kinematic relationships of the axes of the five-axis CNC gear profile grinding machine

Grahic Jump Location
Figure 16

Simulated flank topographic errors of the axes of the five-axis CNC gear profile grinding machine after correction

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In