0
TECHNICAL PAPERS

Optimal Path Planning for Helical Gear Profile Inspection with Point Laser Triangulation Probes

[+] Author and Article Information
Kevin B. Smith

Brigham Young University, Dept. of Electrical and Computer Engineering, Provo, UT 84602

Yuan F. Zheng

The Ohio State University, Dept. of Electrical Engineering, Columbus, OH 43210

J. Manuf. Sci. Eng 123(1), 90-98 (Feb 01, 2000) (9 pages) doi:10.1115/1.1349718 History: Received July 01, 1999; Revised February 01, 2000
Copyright © 2001 by ASME
Your Session has timed out. Please sign back in to continue.

References

McVea,  W. R., and Mellis,  D. W., 1991, “Spiral Bevel Tooth Topography Control Using CMM Equipment,” SAE Trans., 100, pp. 121–134.
Tansel, I., Li, W., Carballo, M., Trujillo, M., Fallerio, B., and Paz, E., 1994, “High-speed Micro Gear Inspection by Evaluating Laser Beam Reflections,” ASME Press Series on International Advances in Design Productivity. Artificial Neural Networks in Engineering Conference, 4 , pp. 987–992, Nov.
Okuyama,  E., Kiyono,  S., and Moritoki,  H., 1994, “Investigation of an Optical Noncontact Gear Geometry Measurement System: Measurement of Pitch Errors and Tooth Profiles,” Precis. Eng., 16, No. 2, pp. 117–123, Apr.
Wu, S., and Lu, G., 1998, “Non-Contact, High-Speed, Precision Gear Inspection,” Annual Forum Proceedings—American Helicopter Society Proceedings 54th Annual Forum. Part 2, 2 , pp. 701–711, May.
AGMA, “Gear Classification and Inspection Handbook for Unassembled Spur and Helical Gears,” 1988, American Gear Manufacturers Association, ANSI/AGMA 2000-A88, Mar.
Smith,  K. B., and Zheng,  Y. F., 1998, “Accuracy Analysis of Point Laser Triangulation Probes Using Simulation,” ASME J. Manuf. Sci. Eng., 120, No. 4, pp. 736–745.
Sahoo,  K. C., and Menq,  C. H., 1991, “Localization of 3-D Objects Having Complex Sculptured Surfaces Using Tactile Sensing and Surface Description,” ASME J. Eng. Ind. 523, pp. 85–92, Feb.
Smith, K. B., and Zheng, Y. F., 1999, “Point Laser Triangulation Probe Calibration for Coordinate Metrology,” ASME J. Manuf. Sci. Eng., in press.

Figures

Grahic Jump Location
Setup for proposed noncontact profile gear inspection
Grahic Jump Location
Collision regions (shaded area) restrict the allowable region to provide allowable and collision-free subspace
Grahic Jump Location
Optimal path using weights Cω=10,Cυ=1, where |=Allowable angles (ωk); −=Center angles (υik);* =Optimal angles (ωk*); and ×=Clipped angles (ώk)
Grahic Jump Location
Optimal path using weights Cω=1,Cυ=10
Grahic Jump Location
Optimal path-planning flowchart for profile inspection of helical gears using a PLT probe
Grahic Jump Location
Involute construction variables for right-tooth profile
Grahic Jump Location
Involute construction variables for left-tooth profile
Grahic Jump Location
The angle βo, measured from the tooth center to roll angle of zero location on the base circle
Grahic Jump Location
Orientation parameters, α, ϕ, and γ, for a PLT probe
Grahic Jump Location
Plot of allowable regions (circular lines) and forbidden regions (radial lines) for a typical PLT probe
Grahic Jump Location
The vector hc is on the O.D. helical curve of the facing adjacent tooth, and is in the transverse plane defined by vectors r and n . The collision plane normal nc2 is defined as nc2=tψ×(hc−r)
Grahic Jump Location
Top view of the calculated profile inspection points, normal vectors, and collision vectors (i.e., hc−r)
Grahic Jump Location
Front view of the calculated profile inspection points, normal vectors, and collision vectors (i.e., hc−r)
Grahic Jump Location
ω value versus roll angle providing profile inspection in the allowable and collision-free region where ○=right tooth ω values; +=left tooth ω values; a={−1,0,0}; and o={0.000,0.909,−0.416}
Grahic Jump Location
ω value versus roll angle providing profile inspection in the allowable and collision-free region, where ○=right tooth ω values; +=left tooth ω values; a={−1,0,0}; and o={0.000,0.500,0.866}

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