Evaluation of roundness error using a new method based on a small displacement screw

Hichem Nouira (1) , Pierre Bourdet (2)

1 LNE - Laboratoire National de Métrologie et d'Essais [Trappes]
2 LURPA - Laboratoire Universitaire de Recherche en Production Automatisée

In relation to the industrial need and to the progress of technology, LNE would like to improve the measurement of its primary pressure, spherical and flick standards. The spherical and flick standards are respectively used to calibrate the spindle motion error and the probe which equips commercial conventional cylindricity measuring machines. The primary pressure standards are obtained using pressure balances equipped with rotary pistons with an uncertainty of 5 nm for a piston diameter of 10 mm. Conventional machines are not able to reach such an uncertainty level. That is why the development of a new machine is necessary. To ensure such a level of uncertainty, both stability and performance of the machine are not sufficient and the data processing should also be done with an accuracy less than the nanometre. In this paper, the new method based on the Small Displacement Screw (SDS) model is proposed. A first validation of this method is proposed on a theoretical dataset published by the European Community Bureau of Reference (BCR) in report n°3327. Then, an experiment is prepared in order to validate the new method on real datasets. Specific environment conditions are taken into account and many precautions are considered. The new method is applied to analyze the least squares circle, minimum zone circle, maximum inscribed circle and minimum circumscribed circle. The results are compared to those done by the reference Chebyshev best-fit method and reveal a perfect agreement. The sensibility of SDS and Chebyshev methodologies are investigated, and it is revealed that results remain unchanged when the value of the diameter exceeds 700 times the form error. 2

Mots clés: Dimensional metrology; roundness evaluation; small displacement screw model; Chebyshev approximation; form measurement

Domaines: Automatique / Robotique; Génie mécanique [physics.class-ph]

Hichem Nouira, Pierre Bourdet. Evaluation of roundness error using a new method based on a small displacement screw. Measurement Science and Technology, 2014, 25 (4), pp.25 (044012). ⟨10.1088/0957-0233/25/4/044012⟩. ⟨hal-01140113⟩