Assessment of the mechanical errors of a prototype of an optical multilateration system

Guillory, Joffray; Truong, Daniel; Wallerand, Jean‐Pierre

doi:10.1063/1.5132933

Cited by 6 publications

(17 citation statements)

References 16 publications

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“…The assessment of the uncertainty on a distance measurement is quite complex as it depends on many parameters. This task has therefore been realized is two main steps: first, the different sources of errors due to the telemetric system have been identified [19], then, the different sources of errors due to the mechanical designs of the measurement heads and the target have been studied [20]. In this section, the results published in the previous articles [19,20] are summarized, corrected as a result of changes of components in the telemetric system, complemented by new measurements for the mechanical designs of the measurement heads, and merged together to obtain the final value of the uncertainty on a distance measurement.…”

Section: Assessment Of the Uncertainty On A Distance Measurementmentioning

confidence: 99%

“…It is defined by the distance between the transit axis and the standing axis: Toh for the measurement head, Tot for the target. The procedures to measure these nine parameters (a, c, a', b', c', α, γ, Toh and Tot) have been described in [20] for the target and for an earlier design of the measurement heads not including a piezoelectric gimbal mount. The addition of a piezoelectric gimbal mount has not changed the way to measure these parameters, which is based on a double-centering method (also called double-face measurement) as detailed in [20].…”

Section: Sources Of Errors Due To the Mechanical Designsmentioning

confidence: 99%

“…The procedures to measure these nine parameters (a, c, a', b', c', α, γ, Toh and Tot) have been described in [20] for the target and for an earlier design of the measurement heads not including a piezoelectric gimbal mount. The addition of a piezoelectric gimbal mount has not changed the way to measure these parameters, which is based on a double-centering method (also called double-face measurement) as detailed in [20]. This method consists in pointing the same object under two different orientations of the head (or of the corner cube), thanks to a first rotation of 180° around the standing axis and then a second 180° rotation around the transit axis.…”

Section: Sources Of Errors Due To the Mechanical Designsmentioning

confidence: 99%

“…Table IV shows the misalignment parameters of the target: the beam offset and the transit offset. The latter, measured in [20], follow a gaussian distribution of standard deviation 2 µm. In Tables III and IV, the contributions of the error parameters to a distance measurement have not been stated.…”

Section: Head B Headmentioning

confidence: 99%

“…In Tables III and IV, the contributions of the error parameters to a distance measurement have not been stated. Nevertheless, they are detailed in [20]. In short, their contribution can be low when considering separately these different sources of error.…”

Section: Head B Headmentioning

confidence: 99%

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Uncertainty assessment of a prototype of multilateration coordinate measurement system

Guillory

Truong

Wallerand

2020

Precision Engineering

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Large Volume Metrology is essential to many high value industries to go towards the factory of the future, but also to many science facilities for fine alignment of large structures. In this context, we have developed a multilateration coordinate measurement system, traceable to SI metre, and suitable for outdoor measurements or industrial environments. It is based on a high accuracy absolute distance meter developed in-house and shared between several measurement heads by fibre-optic links. Thus, from these measurement stations, multiple distance measurements of several positions of a target can be performed. At the end, coordinates of the heads and of the different target locations are determined using a multilateration algorithm with self-calibration. In this paper, the uncertainty of this multilateration coordinate measurement system is determined with a consistent metrological approach. First, 13 different sources of errors are listed and quantified. Then, thanks to Monte Carlo simulations, the standard uncertainty on a single absolute distance measurement is assessed to 4.7 µm. This includes the uncertainty contribution of the telemetric system itself, but also the contributions of the mechanical designs of the measurement heads and the target. Lastly, measurements of three-dimensional coordinates of target positions are performed in a control environment, then in a large workshop without temperature control: these measurements validate the uncertainty assessment of the system.

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Section: Assessment Of the Uncertainty On A Distance Measurementmentioning

confidence: 99%

Section: Sources Of Errors Due To the Mechanical Designsmentioning

confidence: 99%

Section: Sources Of Errors Due To the Mechanical Designsmentioning

confidence: 99%

Section: Head B Headmentioning

confidence: 99%

Section: Head B Headmentioning

confidence: 99%

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Uncertainty assessment of a prototype of multilateration coordinate measurement system

Guillory

Truong

Wallerand

2020

Precision Engineering

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Large-Scale Dimensional Metrology for Geodesy—First Results from the European GeoMetre Project

Pollinger

Courde

Eschelbach

et al. 2022

International Association of Geodesy Symposia

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In a joint effort, experts from measurement science and space-geodesy develop instrumentation and methods to further strengthen traceability to the SI definition of the metre for geodetic reference frames (GRF). GRFs are based on space-geodetic observations. Local-tie surveys at co-location sites play an important role for their computation. Novel tools are hence developed for reference point monitoring, but also for local tie vector determination and ground truth provision. This contribution reports on the instrumental approaches and achievements after 24 months project duration and discusses the remaining work in the project.

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Operator-software impact in local tie networks

et al. 2023

Self Cite

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The operator-software impact describes the differences between results introduced by different operators using identical software packages but applying different analysis strategies to the same data. This contribution studies the operator-software impact in the framework of local tie determination, and compares two different analysis approaches. Both approaches are used in present local tie determinations and mainly differ in the consideration of the vertical deflection within the network adjustment. However, no comparison study has yet been made so far. Selecting a suitable analysis approach is interpreted as a model selection problem, which is addressed by information criteria within this investigation. A suitable model is indicated by a sufficient goodness of fit and an adequate number of model parameters. Moreover, the stiffness of the networks is evaluated by means of principal component analysis. Based on the date of a measurement campaign performed at the Geodetic Observatory Wettzell in 2021, the impact of the analysis approach on local ties is investigated. For that purpose, an innovated procedure is introduced to obtain reference points of space geodetic techniques defining the local ties. Within the procedure, the reference points are defined independently of the used reference frame, and are based on geometrical conditions. Thus, the results depend only on the estimates of the performed network adjustment and, hence, the applied network analysis approach. The comparison of the horizontal coordinates of the determined reference points shows a high agreement. The differences are less than 0.2 mm. However, the vertical components differ by more than 1 mm, and exceed the coverage of the estimated standard deviations. The main reasons for these large discrepancies are a network tilting and a network bending, which is confirmed by a residual analysis.

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Assessment of the mechanical errors of a prototype of an optical multilateration system

Cited by 6 publications

References 16 publications

Uncertainty assessment of a prototype of multilateration coordinate measurement system

Uncertainty assessment of a prototype of multilateration coordinate measurement system

Large-Scale Dimensional Metrology for Geodesy—First Results from the European GeoMetre Project

Operator-software impact in local tie networks

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