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Due to the shape deviation, it is hard to mill the parts formed by hot forming process to the final nominal shape sometimes.
In these studies it is implicitly assumed that a simple update of the nominal tool shape leads to parts in nominal shape.
A method for fitting a topography measured on an involute spur gear tooth flank to its nominal shape is proposed, so that the exact position along the length of the tooth from which the measured surface originates can be determined, and so that the nominal shape of the surface can be subtracted prior to roughness parameters calculation.
Built on Gregory's piecewise rational cubic splines, the main contribution of this paper is the introduction of such parametric deformations to a nominal shape that are guaranteed to satisfy the proximity constraints.
To reduce the rejection rate and save the production cost, a measurement-based approach for geometric reconstruction of final nominal shape using free-form deformation (FFD) is presented in this paper.
The original shape was firstly sliced into several cross-sections in its design manner, then each section was modified by FFD based on a set of organized measurement points, and at last the final nominal shape was reconstructed by lofting these modified cross-sections.
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Finally, indenters having some deviation from their nominal shapes are considered.
This systematic bias, in the direction of the force field, shifts the generated trajectories "inside" the nominal Lissajous shape in the rightward part which is run clockwise, and "outside" the shape, in the leftward path which is run counter-clockwise.
Further, situations such as on-line refueling might cause transient variations in flux-shape from the nominal flux-shape.
Referring back to Figure 6, we have shown the nominal location and shape of the primary plume with a thick red curve, which extends upward from the crest of the upwelling.
Considering both large initial heat flux and gradual transition back to nominal operation, the shape of feed manipulation is determined.
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CEO of Professional Science Editing for Scientists @ prosciediting.com