Tolerance analysis by polytopes: Taking into account degrees of freedom with cap half-spaces
To determine the relative position of any two surfaces in a system, one approach is to use
operations (Minkowski sum and intersection) on sets of constraints. These constraints are …
operations (Minkowski sum and intersection) on sets of constraints. These constraints are …
Minkowski sum of polytopes defined by their vertices
V Delos, D Teissandier - arXiv preprint arXiv:1412.2564, 2014 - arxiv.org
Minkowski sums are of theoretical interest and have applications in fields related to
industrial backgrounds. In this paper we focus on the specific case of summing polytopes as …
industrial backgrounds. In this paper we focus on the specific case of summing polytopes as …
Form defects consideration in polytope-based tolerance analysis
The polytope-based tolerance analysis in design process uses a finite set of constraints to
represent specifications and propagates these constraints to any objective point in the …
represent specifications and propagates these constraints to any objective point in the …
A generic approach for analysis of mechanical assembly
T Liu, Q Zhao, Y Cao, J Yang - Precision Engineering, 2018 - Elsevier
Assembly tolerance analysis is increasingly becoming an innovative method for checking
whether specified tolerances satisfy assembly functional requirements. Skin model shapes …
whether specified tolerances satisfy assembly functional requirements. Skin model shapes …
A computer-aided design-based tolerance analysis of assemblies with form defects and deformations of nonrigid parts
M Tlija, A Korbi, B Louhichi… - … of Computing and …, 2023 - asmedigitalcollection.asme.org
Product assemblability and functional behavior are affected by geometric deviations. These
deviations consist of manufacturing errors and part deformation defects caused by external …
deviations consist of manufacturing errors and part deformation defects caused by external …
Tolerance analysis by polytopes: application to assembly interferences diagnosis
D Gouyou, D Teissandier, V Delos - Procedia CIRP, 2016 - Elsevier
One way to perform tolerance analysis on over-constrained mechanical systems is to
manipulate sets of constraints. During the 25 last years, several models (domains by …
manipulate sets of constraints. During the 25 last years, several models (domains by …
Minkowski sum of HV-polytopes in Rn
V Delos, D Teissandier - arXiv preprint arXiv:1412.2562, 2014 - arxiv.org
Minkowski sums cover a wide range of applications in many different fields like algebra,
morphing, robotics, mechanical CAD/CAM systems... This paper deals with sums of …
morphing, robotics, mechanical CAD/CAM systems... This paper deals with sums of …
Tolerance analysis of an assembly by considering part deformation
Part error will cause the assembly contact state between parts to deviate from the nominal
state, resulting in error accumulation and propagation. Therefore, reasonable tolerance has …
state, resulting in error accumulation and propagation. Therefore, reasonable tolerance has …
Geometrical variation simulation for assembly with form defects
To improve product quality, tolerance analysis represents nowadays a key element in
industry. It aims to verify whether allocated tolerances satisfy functional and assembly …
industry. It aims to verify whether allocated tolerances satisfy functional and assembly …
Stratégies de mise en oeuvre des polytopes en analyse de tolérance
L Homri - 2014 - theses.hal.science
En analyse de tolérances géométriques, une approche consiste à manipuler des polyèdres
de R'issus d'ensembles de contraintes linéaires. La position relative entre deux surfaces …
de R'issus d'ensembles de contraintes linéaires. La position relative entre deux surfaces …