v V variable (corresponding to entity, attribute, and functional requirement) v interval assigned for V vup upper limit of V viow lower limit of V VnOm nominal value of the variable V any value in V 1. Introduct ion Tolerance design plays an important a role in the relationship between performance and the manufacturing cost of a product. Decreasing the tolerance range will improve performance b...

In this paper we deal with sensitivity analysis of combinatorial optimization problems and its fundamental term, the tolerance. For three classes of objective functions (Σ,Π,MAX) we give some basic properties on upper and lower tolerances. We show that the upper tolerance of an element is well defined, how to compute the upper tolerance of an element, and give equivalent formulations when the u...

The Open Assembly Design Environment (OpenADE) project is an initiative at the National Institute of Standards and Technology (NIST) to provide an integrated and augmented CAD environment for assembly design. The goals of the project are: (1) to identify representations and issues for the next generation of assembly-related standards and (2) assist designers with assembly considerations through...

We present a general expression for the association rate for partially diffusion-controlled reactions between spherical molecules with an asymmetric reactive patch on each surface. Reaction can occur only if the two patches are in contact and properly aligned to within specified angular tolerances. This extends and generalizes previous approaches that considered only axially symmetric patches; ...

To ensure the robustness of geometric tolerancing in collaborative design, a multi-view tolerance data representation is needed as well as a multi-level representation. The goal of multi-level representation is to detail the tolerances as the knowledge of the product progresses during its development. After a brief discussion, IPPOP product model and GeoSpelling tolerance model are chosen as ba...

Slot waveguides are becoming more and more attractive optical components, especially for chemical and bio-chemical sensing. In this paper an accurate analysis of slot waveguide fabrication tolerances is carried out, in order to find optimum design criteria for either homogeneous or absorption sensing mechanisms, in cases of low and high aspect ratio slot waveguides. In particular, we have focus...

The map and the model designed by a designer and presented to a manufacturer in the form of a map is the result of his knowledge and innovation. The manufacturer, in turn, uses his best effort to produce a part accordingly. However, because of production problems and raw material, producing a precise part is very difficult and costly. One of the most important problems in this regard is designi...

This is a preliminary study of the e ect of using microwave quads (MQ's) instead of rf phase shifting to induce BNS damping in the main linac of the NLC collider. We consider MQ's running at Xband, and nd that the total length of MQ's needed for the NLC is 6% of the total length of the accelerating structures. We show through simulations that, by using MQ's instead of phase shifting for BNS dam...

Process yield has been the most basic and common criterion used in the manufacturing industry for evaluating process capability. The Cpk index has been used widely in the manufacturing industry. In this note, we considered a generalization of Cpk index which handles processes involving a target T with asymmetric tolerances. Particularly, we established a formula for measuring the PPM non-confor...