Tolerance synthesis: quantifier notion and virtual boundary

Dantan, Jean‐Yves; Mathieu, Luc; Ballu, Alex; Martin, Patrick

doi:10.1016/j.cad.2004.06.008

Cited by 63 publications

(44 citation statements)

References 19 publications

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“…Moreover, the mathematical formulations are defined by: (i) equations which constraint part deviations, gaps and functional characteristics; (ii) inequalities which constraint functional requirements, and (iii) inequalities and equations which constraint gaps. Here, the equations define the relations of displacements in the different loops of the joint graph, the relations of displacements represent the linear compatibility constraints between deviations and gaps in different loops, while the inequalities and equations define the interface constraints that characterize the non-interferences between surfaces that are nominally in contact with each other [32][33][34][35][36]. Nevertheless, considering positional deviations in a 3-dimensional context could lead to highly nonlinear functions which then have to be linearized piecewise [7,37].…”

Section: Geometrical Behavior Modelingmentioning

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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Section: Geometrical Behavior Modelingmentioning

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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“…a joint, can be defined using a set of parameters. There have been several studies on this subject [13], [14], [15]. Hereafter we will use the definition proposed in [16], which is a direct application of that described in [15].…”

Section: Fcmentioning

confidence: 99%

“…There have been several studies on this subject [13], [14], [15]. Hereafter we will use the definition proposed in [16], which is a direct application of that described in [15]. A joint is defined according to the following parameters: -type: planar pair, cylindrical pair, ball and cylinder pair, etc.…”

Section: Fcmentioning

confidence: 99%

Variational tolerancing analysis taking thermomechanical strains into account: Application to a high pressure turbine

Pierre¹,

Teissandier²,

Nadeau³

2014

Mechanism and Machine Theory

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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. Abstract:The aim of this study is to propose a variational method of tolerancing analysis using a multiphysical approach. This method is based on operations on polytopes (Minkowski sum and intersection) and can be used to validate geometric specifications, contact specifications and thermomechanical specifications. The first part describes how thermomechanical strains are integrated into a tolerancing analysis tool, based on operations on polytopes. In the second part correlations are defined between two turbine performance criteria, leakage section and risk of touching, and two geometric conditions respectively. In the third part, the influence of design choices is described, in particular the influence of the shape of the parts and the behaviour of the joints on the thermomechanical operating regime of the turbine. Two turbine architectures are considered in relation to the same two performance criteria, and lastly the main turbine architecture results are discussed and future developments described.

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“…To address this gap, we extend the existing research in the domain of the variable quantification in tolerancing for mechanical assemblies (Dantan and Qureshi, 2009;Dantan et al, 2005). These works provide an example of variable quantification and expression for the problem of variation management in tolerancing.…”

Section: Problem Formulationmentioning

confidence: 99%

“…Mamoulis and Stergiou (2004) defined an algorithm for arc consistency for QCSP for binary constraints. Dantan and Qureshi (2009) proposed the integration of QCSP and quantifiers in the domain of product design by solving the problem of product assembly, tolerance analysis and tolerance allocation for mechanical assemblies with QCSP (Dantan and Ballu, 2002;Dantan et al, 2005).…”

Section: Definition (Qcsp): a Qcsp Is The Problem Of The Existence Ofmentioning

confidence: 99%

Set-based design of mechanical systems with design robustness integrated

Qureshi

Dantan

Bruyère

et al. 2014

IJPD

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This paper presents a method for parameter design of mechanical products based on a set-based approach. Set-based concurrent engineering emphasises on designing in a multi-stakeholder environment with concurrent involvement of the stakeholders in the design process. It also encourages flexibility in design through communication in terms of ranges instead of fixed point values and subsequent alternative solutions resulting from intersection of these ranges. These alternative solutions can then be refined and selected according to the designers' preferences and clients' needs. This paper presents a model and tools for integrated flexible design that take into account the manufacturing variations as well as the design objectives for finding inherently robust solutions using QCSP transformation through interval analysis. In order to demonstrate the approach, an example of design of rigid flange coupling with a variable number of bolts and a choice of bolts from ISO M standard has been resolved and demonstrated. Set-based design of mechanical systems

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Tolerance synthesis: quantifier notion and virtual boundary

Cited by 63 publications

References 19 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

Variational tolerancing analysis taking thermomechanical strains into account: Application to a high pressure turbine

Set-based design of mechanical systems with design robustness integrated

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