Abstract
An application of two ruled surfaces (i.e., surfaces generated by a motion of a straight line), a surface of hyperbolic paraboloid and a tangent surface of a cylindrical helix in freeform and gear metrology is introduced in this paper. Both surfaces have been implemented as the main functional figures in several artefacts – metrological calibration standards intended for testing the freeform capabilities of various measuring technologies (e.g., tactile point-to-point measurement and tactile scanning on coordinate measuring machine, optical scanning, computer tomography). Geometrical and mathematical properties of the surface used are summarised, CAD models of all the developed standards are presented and photos of the manufactured standards are shown.
Highlights
In precision engineering, an inspection of components with functional freeform surfaces lay great demands on metrological procedures
Two ruled surfaces - surface of hyperbolic paraboloid and tangent surface of a cylindrical helix are described in this paper
Two freeform metrological standards - Freeform standard Hyperbolic paraboloid and Spatial hyperbolic paraboloid standard and Smart gear measurement standard developed by the Czech Metrology Institute (CMI) in cooperation with the Czech Technical University in Prague (CTU) are introduced
Summary
An inspection of components with functional freeform surfaces lay great demands on metrological procedures. The nominal shape and dimensions of the component with freeform surface is represented by CAD (Computer Aided Design) model and metrology procedure applied in inspection is a so called CADbased measurement. A reliable evaluation of freeform CAD-based measurement leads to the development of reference standards with a sufficient precision and specific properties. Three of the standards developed, i.e. Freeform standard Hyperbolic paraboloid, Spatial hyperbolic paraboloid standard and Smart gear measurement standard, are mentioned in this paper. Smart gear measurement standard that has been developed based on this relationship is mentioned in this chapter, too. The CAD model of the standard is introduced and the photo of the manufactured standard is presented
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