Review of statistical approaches to tolerance analysis

Nigam, S. D.; Turner, Joshua U.

doi:10.1016/0010-4485(95)90748-5

Cited by 212 publications

(105 citation statements)

References 12 publications

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“…These mathematical representations of tolerances allowed computing accumulation of the tolerances by Minkowski sums or intersections and the operations depended on the kinematic chains. Based on the definition of the probability of defects due to the manufacturing imperfections by different techniques which aim to provide suitable quality level of designed mechanical systems at lower costs, some tolerance analysis models have also been proposed which are based on the statistical analysis method [4,5,46,47].…”

Section: Technical Solutions and Analysis Approachesmentioning

confidence: 99%

“…Further investigations for the computational problem of the function f have been proposed by Turner and Nigam [6], Guilford and Turner [48] and Zhang et al [49]. Whitney [50] also suggested fitting a multi-dimensional Gaussian Probability Density Function (PDF) to the multi-dimensional possibilities that are permitted by a tolerance specification.…”

Section: Technical Solutions and Analysis Approachesmentioning

confidence: 99%

“…Pertaining to technical solutions, a rich overview of tolerance analysis models of over-constrained mechanisms is also given in [3,6,7,34,38,41,[51][52][53][54][55][56][57]. Globally, the main shortcomings of the tolerance analysis approaches are their insufficient consideration of parts' form defects in the respective systems.…”

Section: Technical Solutions and Analysis Approachesmentioning

confidence: 99%

“…Moreover, tolerancing activities, when simulating geometric deviations, are generally based on the hypothesis that parts are ideals and surfaces have no form defects [4][5][6][7]. The consideration of parts' form defects is integral to the tolerancing activities and hence, make it significant to highlight its impacts on the assembly probability estimation in the product quality and cost assessment [8,9].…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Tolerance analysis — Form defects modeling and simulation by modal decomposition and optimization

Homri

Goka

Levasseur

et al. 2017

Computer-Aided Design

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. Tolerance analysis aims on checking whether specified tolerances enable functional and assembly requirements. The tolerance analysis approaches discussed in literature are generally assumed without the consideration of parts' form defects. This paper presents a new model to consider the form defects in an assembly simulation. A Metric Modal Decomposition (MMD) method is henceforth, developed to model the form defects of various parts in a mechanism. The assemblies including form defects are further assessed using mathematical optimization. The optimization involves two models of surfaces: real model and difference surface-base method, and introduces the concept of signed distance. The optimization algorithms are then compared in terms of time consumption and accuracy. To illustrate the methods and their respective applications, a simplified over-constrained industrial mechanism in three dimensions is also used as a case study.

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Section: Technical Solutions and Analysis Approachesmentioning

confidence: 99%

Section: Technical Solutions and Analysis Approachesmentioning

confidence: 99%

Section: Technical Solutions and Analysis Approachesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Tolerance analysis — Form defects modeling and simulation by modal decomposition and optimization

Homri

Goka

Levasseur

et al. 2017

Computer-Aided Design

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“…Such parametric variations dictate certain upper and lower bounds on the droplet velocity in a fault-free system. These bounds can be computed through tolerance analysis [25].…”

Section: A Fault-free Modelmentioning

confidence: 99%

Ensuring the operational health of droplet-based microelectrofluidic biosensor systems

Ozev

Chakrabarty

2005

IEEE Sensors J.

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Abstract-Recent events have heightened the need for fast, accurate, and reliable biological/chemical sensor systems for critical locations. As droplet-based microelectrofluidic sensor systems become widespread in these safety-critical biomedical applications, reliability emerges as a critical performance parameter. In order to ensure the operational health of such safety-critical systems, they need to be monitored for defects, not only after manufacturing, but also during in-field operation. In this paper, we present a cost-effective concurrent test methodology for droplet-based microelectrofluidic systems. We present a classification of catastrophic and parametric faults in such systems and show how faults can be detected by electrostatically controlling and tracking droplet motion. We then present a fault simulation approach based on tolerance analysis using Monte-Carlo simulation to characterize the impact of parameter variations on system performance. Finally, we present experimental results on a droplet-based microelectrofluidic system for a real-time polymerase chain reaction application.Index Terms-Microelectrofluidic biosensor systems, reliability, testing for manufacturing and operational defects.

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Process parameters determination for precision manufacturing

Jeang

Hun

2000

Qual. Reliab. Engng. Int.

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Conventional process planning in manufacturing operations presents fixed process means and process tolerances for all operations and allows actual outputs to be distributed around these fixed values, as long as the final outputs fall within acceptable specifications. Some approaches attempt to maximize the process tolerances of all manufacturing operations for part production. Other approaches intend to minimize the tolerance cost or quality loss based on known functions. Most of them consider process mean and process tolerance as independent decision variables in process planning, with the condition that the resultant working dimensions are equal to the design target values of blueprint dimensions. These approaches assume that there is no process drift or deterioration. However, these conventional approaches are inappropriate for small‐volume, high‐value and precision processing, particularly of a complex part. Hence this study introduces an alternative approach to the tolerance‐balancing problem that does not provide specific objective functions, which determines process means and process tolerances simultaneously and adjusts them sequentially. Copyright © 2000 John Wiley & Sons, Ltd.

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Review of statistical approaches to tolerance analysis

Cited by 212 publications

References 12 publications

Tolerance analysis — Form defects modeling and simulation by modal decomposition and optimization

Tolerance analysis — Form defects modeling and simulation by modal decomposition and optimization

Ensuring the operational health of droplet-based microelectrofluidic biosensor systems

Process parameters determination for precision manufacturing

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