Inherent in every Active Magnetic Bearing (AMB) are differences between the expected geometric axes and the actual magnetic axes due to a combination of discrepancies, including physical variation from manufacturing tolerances and misalignment from mechanical assembly, fringing and leakage effects, as well as variations in magnetic material properties within a single AMB. A method is presented ...

Product Lifecycle Management (PLM) demonstrated to be a good strategy for manufacturing enterprises. In spite of all the benefits it is not still clear how to implement it in industry. This article presents a visualization model of enterprise processes for a PLM system. It presents in a graphic way the main elements of a product lifecycle. The model identifies what is done (process, activities)...

To determine the relative position of any two surfaces in a system, one approach is to use operations (Minkowski sum and intersection) on sets of constraints. These constraints are made compliant with half-spaces of n  where each set of half-spaces defines an operand polyhedron. These operands are generally unbounded due to the inclusion of degrees of invariance for surfaces and degrees of fre...

A unified mathematical formulation for designing and analyzing even the most general optical processor is presented. It exploits the Wigner distribution function to characterize the illumination, the input, the inherent filter, and the output results. To characterize the propagation of the light through the optical processor setup, we exploit the Wigner matrix formalism, which is appealing beca...

For an engineering design, tolerances in design parameters are selected so that within these tolerances, we guarantee the desired functionality. Feasible algorithms are known for solving the corresponding computational problems: the problem of finding tolerances that guarantee the given functionality, and the problem of checking whether given tolerances guarantee this functionality. In this pap...

In this project you will investigate reduced basis approximation and associated a posteriori error bounds for coercive symmetric partial differential equations — in particular, a heat conduction example — with application to real-time parameter estimation/inverse problems. As regards the reduced basis method, the exercise will build upon your earlier 16.920 reduced basis assignment but now exte...

An image is never noise free. Visual inspection of a part from its image is therefore aaected by image errors. Understanding how image errors aaect measurement precision is therefore critical for accurate inspection. Existing visual inspection methods either setup a highly controlled environment to minimize image errors or simply ignore image errors. They therefore suuer from limited accuracy a...

Updating a Delaunay triangulation when its vertices move is a bottleneck in several domains of application. Rebuilding the whole triangulation from scratch is surprisingly a very viable option compared to relocating the vertices. This can be explained by several recent advances in efficient construction of Delaunay triangulations. However, when all points move with a small magnitude, or when on...

This paper presents a new approach for estimating the state of a linear dynamic system when two different types of uncertainties are present simultaneously. The first type of uncertainty is a stochastic process with given distribution. The second type of uncertainty is only known to be bounded, the exact underlying distribution is unknown. This includes inequality constraints between state vari...

A new approach for the geometrical optimization of five-axis-movement is presented in this paper. Regarding a fiveaxis-movement with large tolerances for lead and tilt-angle for example in the case of laser-cutting there are endless ways of generating motions without violating the orientation-tolerances. By regarding the movement of the involved axes it is shown that for a given 5-axis trajecto...