19 July 1996 Nondestructive quantitative 3D characterization of a car brake
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Abstract
Holographic interferometry enables the accurate measurement of 3D displacement fields. However, the determination of 3D- displacement vectors of objects with complex surfaces requires to measure the 3D-object coordinates not only to consider local sensitivities but to distinguish between in- plane deformation, i.e. strains, and out-of-plane components, i.e. shears, too. To this purpose both the surface displacement and coordinates have to be combined and it is advantageous to make the data available for CAE- systems. The object surface has to be approximated analytically from the measured point cloud to generate a surface mesh. The displacement vectors can be assigned to the nodes of this surface mesh and the components of the deformation can be evaluated for an experimental stress analysis. They also can be compared to the results of FEM- calculations. The brake saddle of a car brake is such a complex formed object where the surface cannot be described by fundamental mathematical functions. The 3D-object coordinates were measured in a separate topometric set-up using a modified fringe projection technique to acquire absolute phase values. By means of a geometrical model the phase data were mapped onto coordinates precisely. The determination of 3D-displacement vectors required the measurement of several interference phase distributions for at least three independent sensitivity directions as well as the 3D-position of each measuring point. These geometric quantities had to be transformed into a reference coordinate system of the interferometric set-up in order to calculate the geometric matrix. The necessary transformation were realized by means of a detection of object features in both data sets and a subsequent determination of the external camera orientation. This paper presents a consistent solution for the measurement and combination of shape and displacement data including their transformation into simulation systems for the car brake. This is an example, how more accurate and effective measurement techniques make it possible to bring experimental and numerical displacement analysis closer.
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Werner P. O. Jueptner, Wolfgang Osten, Peter Andrae, Werner Nadeborn, "Nondestructive quantitative 3D characterization of a car brake", Proc. SPIE 2861, Laser Interferometry VIII: Applications, (19 July 1996); doi: 10.1117/12.245164; https://doi.org/10.1117/12.245164
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