Substitute Geometry of the Features of Size: Applications to Multidimensional Features

Position vectors of the feature point in the coordinate system associated with the NF

Interrelationship between the NF and SF

Cylindrical surfaces: (a) general case; (b) circular cylinder; and (c) plane

Surfaces of revolution: (a) general case; (b) cylinder; (c) plane; and (d) sphere: (1) axis of revolution (2) meridian

Helical surfaces with straight (a) and nonstraight (b) profiles

Manufacturing process of the ellipsoid of revolution

Description of the ellipsoid of revolution: (a) the drawing; (b) the tolerance zone; (c) the cross and axial sections; and (d) the zone for the axis location

Distributions of the points between two boundaries of the Min Z at eight cross sections and throughout the whole zone

Comparison of form accuracy assessments of the ellipsoid obtained in 20 numerical experiments with and without regard to size deviations

The epitrochoidal cylinder

Parameterization of the epithrochoid

The Min Z-based assessment in one cross section of the epitrochoidal-type stator

Comparison of form accuracy assessments of the epitrochoidal cylinder with (the lower curve) and without (the upper curve) regard to size deviations

A trapezoidal profile of the Archimedean screw (h=H∕2)

Schema of evaluation of the accuracy of the screw

The Min Z-based assessments of the form accuracy of the screw along its length on a threaded length lm of the mating nut

The dispersion of the form accuracy assessments versus sample size N for three distribution functions

Capacity of the variational-method-based procedure versus sample size N and number p of the SPOD