3-D-fitting of blades and vanes

  • Peter Schmidtke
  • Dirk Windelberg
Part of the European Consortium for Mathematics in Industry book series (ECMI, volume 6)


For the repair of jet-engine blades and vanes it is often necessary to apply material by welding and to dress the build-up areas back to the original parts contour.

Both operations are normally performed by manual-welding and -benching. Automation of these operations is a challenge for the coming years, and for this a geometrical description of the existing parts-surface is desirable.

The repair-specification gives only some dimensional requirements for final inspection but no information about the 3-D-surface.

In general, such kind of surfaces are not Bezier-surfaces, because a vane or a blade has no “natural” coordinate-system; especially after some years of use. On the other hand, it is necessary to describe the different 3-D-surfaces.

In this lecture a possible description of an idealized (special) vane is given. It will be shown, that there exists for each of the (repairable) vanes a translation and a torsion for a ‘good fitting’ into the idealized vane. Criterias for the quality of fitting are introduced. An automatic method of fitting for this kind of problems will be discussed.


Coordinate Measuring Machine Geometrical Description Original Part Engine Blade Final Inspection 
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Copyright information

© B.G. Teubner Stuttgart and Kluwer Academic Publishers 1991

Authors and Affiliations

  • Peter Schmidtke
    • 1
  • Dirk Windelberg
    • 2
  1. 1.Department WT 71Lufhansa German AirlinesHamburgGermany
  2. 2.Institut für Mathematikder Universität, Welfengarten 1Hannover 1Germany

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