A new calculation method for the worst case tolerance analysis and synthesis in stack-type assemblies

Mansuy, Mathieu; Giordano, Max; Hernandez, Pascal

doi:10.1016/j.cad.2011.04.010

Cited by 44 publications

(25 citation statements)

References 18 publications

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“…The relationship between the functional tolerance and the tolerances associated with surfaces of mechanical components are determined in linear form. Thus, an influence coefficient is defined [16].…”

Section: Tolerance Analysis and Synthesismentioning

confidence: 99%

An algorithm for CAD tolerancing integration: Generation of assembly configurations according to dimensional and geometrical tolerances

Louhichi

Tlija

Benamara

et al. 2015

Computer-Aided Design

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Section: Tolerance Analysis and Synthesismentioning

confidence: 99%

An algorithm for CAD tolerancing integration: Generation of assembly configurations according to dimensional and geometrical tolerances

Louhichi

Tlija

Benamara

et al. 2015

Computer-Aided Design

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“…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%

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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“…The relevant literature mentions several techniques to represent geometrical tolerances or dimensioning tolerances, among which are T-maps (Davidson et al, 2002;Bhide et al, 2005;Davidson and Shah, 2012), gap spaces (Zou and Morse, 2003;Morse, 2004), and deviation domains (Giordano and Duret, 1993;Giordano et al, 2005). All these methods require mathematical tools, such as the Minkowski sums and the intersection of domains (Mansuy et al, 2011), so as to compute the quality level of the product. To be able to perform these operations, behavior models must be in a linear form.…”

Section: Introductionmentioning

confidence: 99%

An iterative statistical tolerance analysis procedure to deal with linearized behavior models

Dumas

Dantan

Gayton

et al. 2015

J. Zhejiang Univ. Sci. A

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Tolerance analysis consists of analyzing the impact of variations on the mechanism behavior due to the manufacturing process. The goal is to predict its quality level at the design stage. The technique involves computing probabilities of failure of the mechanism in a mass production process. The various analysis methods have to consider the component's variations as random variables and the worst configuration of gaps for over-constrained systems. This consideration varies in function by the type of mechanism behavior and is realized by an optimization scheme combined with a Monte Carlo simulation. To simplify the optimization step, it is necessary to linearize the mechanism behavior into several parts. This study aims at analyzing the impact of the linearization strategy on the probability of failure estimation; a highly over-constrained mechanism with two pins and five cotters is used as an illustration for this study. The purpose is to strike a balance among model error caused by the linearization, computing time, and result accuracy. In addition, an iterative procedure is proposed for the assembly requirement to provide accurate results without using the entire Monte Carlo simulation.

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A new calculation method for the worst case tolerance analysis and synthesis in stack-type assemblies

Cited by 44 publications

References 18 publications

An algorithm for CAD tolerancing integration: Generation of assembly configurations according to dimensional and geometrical tolerances

An algorithm for CAD tolerancing integration: Generation of assembly configurations according to dimensional and geometrical tolerances

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

An iterative statistical tolerance analysis procedure to deal with linearized behavior models

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