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article · Measurement Science and Technology · 2017

Absolute multilateration between spheres

Jody Muelaner, W. J. Wadsworth, Maria Azini, Glen Mullineux, Ben Hughes, A. Reichold

Cited by 5Open access

Abstract

Environmental effects typically limit the accuracy of large scale coordinate measurements in applications such as aircraft production and particle accelerator alignment. This paper presents an initial design for a novel measurement technique with analysis and simulation showing that that it could overcome the environmental limitations to provide a step change in large scale coordinate measurement accuracy. Referred to as absolute multilateration between spheres (AMS), it involves using absolute distance interferometry to directly measure the distances between pairs of plain steel spheres. A large portion of each sphere remains accessible as a reference datum, while the laser path can be shielded from environmental disturbances. As a single scale bar this can provide accurate scale information to be used for instrument verification or network measurement scaling. Since spheres can be simultaneously measured from multiple directions, it also allows highly accurate multilateration-based coordinate measurements to act as a large scale datum structure for localized measurements, or to be integrated within assembly tooling, coordinate measurement machines or robotic machinery. Analysis and simulation show that AMS can be self-aligned to achieve a theoretical combined standard uncertainty for the independent uncertainties of an individual 1 m scale bar of approximately 0.49 µm. It is also shown that combined with a 1 µm m−1 standard uncertainty in the central reference system this could result in coordinate standard uncertainty magnitudes of 42 µm over a slender 1 m by 20 m network. This would be a sufficient step change in accuracy to enable next generation aerospace structures with natural laminar flow and part-to-part interchangeability.

Cite this paper

APA 7

Muelaner, J., Wadsworth, W. J., Azini, M., Mullineux, G., Hughes, B., & Reichold, A. (2017). Absolute multilateration between spheres. Measurement Science and Technology, 28(4), 045005. https://doi.org/10.1088/1361-6501/aa5a37

MLA 9

Muelaner, Jody, et al. “Absolute multilateration between spheres.” Measurement Science and Technology, vol. 28, no. 4, 2017, p. 045005, https://doi.org/10.1088/1361-6501/aa5a37.

Chicago

Muelaner, Jody, W. J. Wadsworth, Maria Azini, Glen Mullineux, Ben Hughes, and A. Reichold. 2017. “Absolute multilateration between spheres.” Measurement Science and Technology 28 (4): 045005. https://doi.org/10.1088/1361-6501/aa5a37.

Harvard

Muelaner, J. et al. (2017) ‘Absolute multilateration between spheres’, Measurement Science and Technology, 28(4), p. 045005. Available at: https://doi.org/10.1088/1361-6501/aa5a37.

BibTeX
@article{muelaner2017absolute,
  title = {{Absolute multilateration between spheres}},
  author = {Muelaner, Jody and Wadsworth, W. J. and Azini, Maria and Mullineux, Glen and Hughes, Ben and Reichold, A.},
  journal = {Measurement Science and Technology},
  volume = {28},
  number = {4},
  pages = {045005},
  year = {2017},
  doi = {10.1088/1361-6501/aa5a37}
}

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