Modeling of 2D and 3D Assemblies Taking Into Account Form Errors of Plane Surfaces

Samper, Serge; Adragna, Pierre‐Antoine; Favrelière, Hugues; Pillet, Maurice

doi:10.1115/1.3249575

Cited by 79 publications

(39 citation statements)

References 30 publications

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“…Then, the future research works will be interested in the consideration of the form defects on the CAD model through another type of the tolerancing approach [29]. In addition, to take into account the statistics of real part variations, the tolerance can be modeled with statistical normal distribution; as the use of the Monte Carlo approach to generate random variational values of the tolerance [30].…”

Section: Resultsmentioning

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: Resultsmentioning

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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“…Using the difference surface concept, the distance is computed from a perfect reference to the generated difference surface. In literature, the ''real model'' was considered to evaluate the distance between surfaces potentially in contact [9,63]. The equivalence between models has also been particularly assessed for 2D planar joints [63].…”

Section: Difference Surface-based Methodsmentioning

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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“…Paper [11] is also devoted to the problem of parts mating along the planar surfaces. The authors of this work suggested a model for describing the deviation of the shape of the specified surfaces and considered the result of the parts mating with various shape deviations of the planar surfaces.…”

Section: Model Descriptionmentioning

confidence: 99%

Probability-theoretical model for product assembly parameters assessment

Ruzanov¹,

Bolotov²,

Pechenin³

2017

Collection of Selected Papers of the III International Conference on Information Technology and Nanotechnology

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The proposed work provides a model for estimating the assembly parameters of the products by the example of the cone ring assembly process. There was carried out the simulation of the process of parts mating along the surfaces with form deviation. As a result of Monte Carlo simulation, there were obtained statistical characteristics of the parameters of the assembled units depending on various initial positions of the parts being assembled. The proposed model could be used to assess the accuracy of the products assembled in the aircraft industry.

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Modeling of 2D and 3D Assemblies Taking Into Account Form Errors of Plane Surfaces

Cited by 79 publications

References 30 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

Probability-theoretical model for product assembly parameters assessment

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