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Characterization of the volume and shape of quasi-spherical resonators using coordinate measurement machines.

de Podesta, M; May, E F*; Mehl, J B*; Pitre, L*; Gavioso, R M; Benedetto, G*; Giuliano Albo, P A*; Truong, D*; Flack, D (2010) Characterization of the volume and shape of quasi-spherical resonators using coordinate measurement machines. Metrologia, 47 (5). pp. 588-604.

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Abstract

The shape and volume of three quasi-spherical resonators (QSRs) have been determined from three-dimensional coordinate measurements. The resonators differed significantly in their design and construction: The inner volumes ranged between 524 cm3 and 2225 cm3; the QSR geometry was achieved by precision manufacture of a triaxially ellipsoidal surface in two cases, and by variable misalignment of hemispheres in the other case; and the construction material was copper in two cases and stainless steel in the other case. The experimental methods and the mathematical tools used to collect coordinate data and to obtain their correct representation by a linear combination of spherical harmonics are discussed and tested with both synthetic and actual datasets. Comparative coordinate measurements of two solid spherical density standards were used to identify and estimate possible sources of type B uncertainties in the adopted procedures and tools. For each resonator, the geometrical perturbations relevant to the calculation of corrected acoustic and microwave eigenvalues were estimated. Finally, an evaluation of the different sources of uncertainty and the ultimate accuracy achievable in the determination of the dimensions of QSRs via coordinate measurements is discussed.

Item Type: Article
Keywords: Quasispherical Resonator, Acoustic Resonator, Dimensional Metrology, Boltzmann Constant
Subjects: Engineering Measurements
Engineering Measurements > Dimensional
Last Modified: 02 Feb 2018 13:15
URI: http://eprintspublications.npl.co.uk/id/eprint/4804

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