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Efficient geometrical description of perturbations to design shapes

Manufactured artefacts such as major aircraft components (wings, fuselage, tailplane) are defined at the concept and design stages using a variety of methods, namely Computer Aided Design (CAD), NACA aerofoil definitions or purely analytical descriptions (polynomials, splines, etc.). These descriptions are used in a variety of ways for aerodynamic or structural analysis using computational (numerical) and analytical methods, as well as for physical testing.
At the end of the design, development and testing phases the final manufactured artefact can only be verified if it is measured. This measurement data is always a set of discrete points commonly described as a point cloud of data (x, y, z coordinates) describing the surface or surfaces of the component under consideration. The accuracy of these measurements is an essential part of the assessment of whether design intent has been achieved.
In this project it will be necessary to develop a suitable description of the geometry from the mathematical definition of shape that is then manipulated to distinguish between the overall design shape and specific types of perturbations to the nominal shape. In general there will be a global deviation from the shape and also local deviations which arise from specific assembly or manufacturing operations. In this project the intention is to focus on characterising local deviations from design shape such as waves on the surface and sudden sharp steps.


Problem presented by:

Amir Kayani (Airbus)
Richard Burguete (Airbus)


Related resources:

Problem brief
Problem presentation (slides)
Problem presentation (video)
Online discussion
Final presentation slides (1,2)

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