This paper analyzes the variations of the relative positions of the parts composing an assembly when part dimensions span their specified tolerance zones. We focus on the case where each part is modeled as a toleranced polygon defined as follows: each edge of this polygon is supported by a line of fixed orientation lying anywhere in a strip bounded by two extreme lines; these lines are themselv...

Due to the stochastic nature of manufacturing processes, the functionality of mechanical assemblies is subject to variation defined by tolerances andmanufacturing process characteristics. Inmany assemblies, functionality is also dependent on external and internal forces. Numerous Computer Aided Tolerancing (CAT) tools have been proposed that address tolerance analysis problems in complex mechan...

The focus of this paper is concerned with the practical aspects of designing optical instruments which are intended for production in large or even small quantities . Certain aspects of performance are required of an instrument which is its reason to exist . It is usually expedient, plus fiscally and ecologically sound, to strive for an overall efficient use of resources in the life cycle of th...

This paper introduces the concept of the ‘sensitivity chart’ as an applied tool to evaluate the effect of profile modifications on the load factor of gears with stochastic indexing errors and to find optimal solutions. The embedded ability to evaluate different solutions simultaneously also allows the analysis of the sensitivity of technical designs to variations in the manufacturing parameters...

Tolerance design is the process of deriving a description of geometric tolerance speci cations for a product from a given set of desired properties of the product. Existing approaches to tolerance analysis and synthesis entail detailed knowledge of geometry of assemblies and are mostly applicable during advanced stages of design, leading to a less than optimal design. During the design process ...

This thesis presents the design and implementation of a high resolution objective lens for imaging ultracold atomic clouds of sodium and lithium in the NaLi experiment. The lens has been developed using the ray tracing software OSLO. The design process aimed for an objective lens that performs di raction limited at a high numerical aperture of 0.41 for both imaging wavelengths of sodium (589nm)...