Abstract

Understanding the uncertainty of dimensional measurements for large products such as aircraft, spacecraft and wind turbines is fundamental to improving efficiency in these products. Much work has been done to ascertain the uncertainty associated with the main types of instruments used, based on laser tracking and photogrammetry, and the propagation of this uncertainty through networked measurements. Unfortunately this is not sufficient to understand the combined uncertainty of industrial measurements, which include secondary tooling and datum structures used to locate the coordinate frame. This paper presents for the first time a complete evaluation of the uncertainty of large scale industrial measurement processes. Generic analysis and design rules are proven through uncertainty evaluation and optimization for the measurement of a large aero gas turbine engine. This shows how the instrument uncertainty can be considered to be negligible. Before optimization the dominant source of uncertainty was the tooling design, after optimization the dominant source was thermal expansion of the engine; meaning that no further improvement can be made without measurement in a temperature controlled environment. These results will have a significant impact on the ability of aircraft and wind turbines to improve efficiency and therefore reduce carbon emissions, as well as the improved reliability of these products.

Highlights

  • High accuracy large scale measurements are most commonly made using either a laser tracker or a photogrammetry system

  • This paper presents for the first time a complete evaluation of the uncertainty of large scale industrial measurement processes

  • This paper presents for the first time a complete evaluation of the uncertainty of a large scale industrial measurement process, in this case using a laser tracker

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Summary

Introduction

High accuracy large scale measurements are most commonly made using either a laser tracker or a photogrammetry system. The way in which laser trackers and photogrammetry systems are used to measure tools, machines and products varies greatly depending on the requirements of the measurement In some cases, such as the measurement of freeform surfaces, the target may be held against the surface to directly probe coordinates. Further work is still required in some areas; for most practical purposes it is possible to model the uncertainty of laser tracker systems and networks All of these models give some evaluation of the uncertainty in the coordinates of the SMR centre at each measured point. A complete evaluation of uncertainty propagation through the measurement instrument, multi-instrument network, optical tooling and establishing the coordinate frame has not previously been considered in the literature This paper addresses this gap in the knowledge

Large aero gas turbine engine measurement
SMR uncertainty relative to instrument
Networked measurements
Tooling uncertainty
Coordinate frame uncertainty
Combined uncertainty of measurements with respect to coordinate system
Combining uncertainty using Monte Carlo simulation
Findings
Conclusions

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