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Statistical verification of conformance to geometric tolerance

Computer-Aided Design, 1994
Abstract Modern coordinate measurement machines have provided industry with new tools for inspecting complex parts. This paper develops statistical procedures that complement these inspection methods, and it ties the conformance problem into the hypothesis testing formalism of conventional statistics.
Thomas R. Kurfess, David L. Banks
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Statistical geometric computation on tolerances for dimensioning

Computer-Aided Design, 2016
Dimensions are used to specify the distances between different features in geometric models. These dimensions will often be expressed as a range of allowable dimensions. When considering a group of toleranced dimensions, these ranges can be analyzed as either a worst-case bound on allowable ranges, or as a statistical measure of expected distribution ...
Songgang Xu, John Keyser
openaire   +1 more source

Geometric computation and optimization on tolerance dimensioning

Computer-Aided Design, 2014
This paper presents an efficient geometric method of tolerance analysis for optimizing dimensioning and providing an optimal processing plan for a discrete part. Geometric primitives are used to represent part features, and dependencies in the dimensions between parts are represented by a topological graph. The ordering of these dependencies can have a
Songgang Xu, John Keyser
openaire   +1 more source

Tolerances in computer-aided geometric design

The Visual Computer, 1987
In the design of discrete part shapes, the specification of tolerance constraints can have major consequences for product quality and cost. Traditional methods for tolerance analysis and synthesis are time-consuming and have limited applicability. The thesis of this work is that geometric design systems based on solid modeling technology can be used to
Joshua U. Turner, Michael J. Wozny
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Representation and reasoning of geometric tolerances in design

Artificial Intelligence for Engineering Design, Analysis and Manufacturing, 1997
AbstractThe geometric dimensioning and tolerancing (GD&T) specifications of a design are directly associated with its performance and functional requirements. They also govern the manufacturing and quality control processes needed to achieve those requirements.
Jhy-Cherng Tsai, Mark R. Cutkosky
openaire   +1 more source

Geometric Tolerance Analysis

2011
This chapter focuses on five main literature models of geometric tolerance analysis – vector loop, variational, matrix, Jacobian, and torsor – and makes a comparison between them in order to highlight the advantages and the weaknesses of each, with the goal of providing a criterion for selecting the most suitable one, depending on the application.
openaire   +2 more sources

Error-Tolerant Geometric Graph Similarity

2018
Graph matching is the task of computing the similarity between two graphs. Error-tolerant graph matching is a type of graph matching, in which a similarity between two graphs is computed based on some tolerance value whereas within exact graph matching a strict one-to-one correspondence is required between two graphs.
Shri Prakash Dwivedi, Ravi Shankar Singh
openaire   +1 more source

Dimensioning with Geometrical Tolerances

2020
The advantages of the geometric specification of a product are here illustrated by converting a traditional 2D coordinate tolerancing drawing using the geometrical tolerance method. The new language of symbols permits the functional requirements of the products to be fully expressed in technical documentation.
openaire   +1 more source

A New Approach to Statistical Geometrical Tolerance Analysis

The International Journal of Advanced Manufacturing Technology, 1999
As a first step in developing a synthesis technique for assisting designers to specify tolerances in product design, a new 3D statistical tolerance analysis approach is proposed A simple two-hale and two-pin (THTP) assembly is used as an example. On the basis of the introduction of an R-vector to represent position tolerance and a feasible assembly ...
Shan, A., Roth, R. N., Wilson, R. J.
openaire   +4 more sources

3D Tolerance analysis involving geometric tolerances

2001
This paper deals with 3D tolerance analysis involving dimensional and geometric tolerances. The tolerances connected with each component of an assembly are simulated by varying randomly the geometry of its part geometric model features. In particular, an original software has been developed to analyse the influence of the tolerances on the geometry of ...
CARRINO L.   +3 more
openaire   +5 more sources

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