politopix
POLITOCAT AND POLITOPIX
PolitoCAT: "Polytopes applied to Computer Aided Tolerancing"
- Download PolitoCAT v1.2.8 for Windows and install it directly at the root of your hard disk C: providing 600 Mo of free space. PolitoCAT is a free software under the GNU LGPL license, with a kernel based on politopix and a graphical interface.
- Download the PolitoCAT tutorial written by S. Arroyave
- Download the presentation made in the E-GRT 2015 (European Group of Research in Tolerancing) in Erlangen, Germany
Politopix
To study the cumulative stack-up of geometric variations inside any mechanical system we need to compute Minkowski sums and intersections of sets of contraints modelled by polytopes in R6. As a consequence, we developped the solver politopix under the GNU LGPL/GPL license and its documentation.
- Download the application politopix version 4.1.0 to compile under Windows and Linux
- Download the 64-bit Windows executable politopix.exe version 4.0.0 with polito.dll
- Download the slides presenting politopix (CERN, Geneva june 2014)
Team
- Software & library project manager (architecture, coding/integration, tests, versioning and deployment): V. Delos
- Tolerancing analysis, 3D visualization and attribute management: D. Teissandier
- Tolerancing analysis, coding of industrial cases and test suites: S. Arroyave-Tobon and Doriane Gouyou
Theory of the Minkowski Sums of polytopes
- Download the presentation of Minkowski sum of HV-polytopes in Rn (Singapore, CMCGS January 2015)
- Download the presentation of Minkowski sum of polytopes defined by their vertices (Shanghai, GTA2015, January 2015) and the source code to compile with GLPK
Minkowski sums and intersection of polytopes with politopix
politopix allows you to sum and intersect polytopes or polyhedrical cones in a n-dimensional space. Its applications are dedicated to geometric tolerancing and industrial mechanics. politopix can also compute n-dimensional Voronoi diagrams.
Sum in R6 checking the topology and geometry of the result:
./politopix.exe -p1 Polytope_1.ptop -p2 Polytope_2.ptop -d 6 -MS -ch
Intersection of cones in R6:
./politopix.exe -c1 cone_1.pcon -c2 cone_2.pcon -d 6 -ch
BIBLIOGRAPHY
■ Applying screw theory for summing sets of constraints in geometric tolerancing Santiago Arroyave-Tobón, Denis Teissandier, Vincent Delos Mechanism and Machine Theory, Elsevier, 2017, Volume 112, pp. 255-271. <hal-01485338>
■ Tolerance analysis with polytopes in HV-description Santiago Arroyave-Tobón, Denis Teissandier, Vincent Delos Journal of Computing and Information Science in Engineering, American Society of Mechanical Engineers, 2017, Volume 17, pp. 041011-1 041011-9. <hal-01518530>
■ Tolerance analysis of overconstrained and flexible assemblies by polytopes and finite element computations: application to a flange Doriane Gouyou, Yann Ledoux, Denis Teissandier, Vincent Delos Research in Engineering Design, Springer, 2017, pp. 1-12. <hal-01515475>
■ How to trace the significant information in tolerance analysis with polytopes Vincent Delos, Santiago Arroyave-Tobón, Denis Teissandier Lecture Notes in Mechanical Engineering. International Joint Conference on Mechanics, Design Engineering & Advanced Manufacturing (JCM 2016), September 2016, Catania, Italy.<hal-01373866>
■ Tolerance analysis with polytopes in HV-description Santiago Arroyave-Tobón, Denis Teissandier, Vincent Delos ASME IDETC-CIE Conference, August 2016, Charlotte, NC, USA. → Best paper of the 36th Computers and Information in Engineering Conference – Advanced Modeling & Simulation (AMS)
■ Adapting polytopes dimension for managing degrees of freedom in tolerancing analysis Santiago Arroyave-Tobón, Denis Teissandier, Vincent Delos 14th CIRP Conference on Computer Aided Tolerancing (CIRP-CAT), May 2016, Gothenburg, Sweden.<hal-01035833>
■ Tolerance analysis by polytopes: Application to assembly interferences diagnosis Doriane Gouyou, Denis Teissandier, Vincent Delos 14th CIRP Conference on Computer Aided Tolerancing (CIRP-CAT), May 2016, Gothenburg, Sweden.
■ politopix and PolitoCAT : Open source software for tolerance analysis of over-constrained mechanisms Santiago Arroyave-Tobón, Denis Teissandier, Vincent Delos 1st Seminar of the European Group of Research in Tolerancing (E-GRT), May 2015, Erlangen, Germany.
■ Tolerance analysis by polytopes: taking into account deformation in parallel assemblies Doriane Gouyou, Yann Ledoux, Denis Teissandier, Vincent Delos International Virtual Concept Workshop on INDUSTRIE 4.0, Nov 2015, San Sebastian, Spain.
■ PolitoCAT : open source software for tolerance analysis Santiago Arroyave-Tobón, Vincent Delos, Denis Teissandier International Virtual Concept Workshop on INDUSTRIE 4.0, Nov 2015, San Sebastian, Spain.
■ Minkowski sum of HV-polytopes in Rn Vincent Delos, Denis Teissandier 4th Annual International Conference on Computational Mathematics, Computational Geometry and Statistics, Jan 2015, Singapore, Singapore. <hal-01092060>
■ Minkowski sum of polytopes defined by their vertices Vincent Delos, Denis Teissandier Journal of Applied Mathematics and Physics (JAMP), Scientific Research Publishing, 2015, 3 (1), pp.62-67. <hal-01092040v2>
■ Tolerance analysis by polytopes: Taking into account degrees of freedom with cap half-spaces Lazhar Homri, Denis Teissandier, Alex Ballu Computer Aided-Design, Elsevier, 2015, 62 (C), pp.112-130 <hal-01202482>
■ Variational tolerancing analysis taking thermomechanical strains into account: Application to a high pressure turbine Laurent Pierre, Denis Teissandier, Jean-Pierre Nadeau Mechanism and Machine Theory, Elsevier, 2014, 74, pp.82-101. <hal-01019651>
■ Stratégies de mise en oeuvre des polytopes en analyse de tolérance Lazhar Homri PhD, Université de Bordeaux, 2014. French. <NNT : 2014BORD0156>. <tel-01133691>
■ Algorithm to calculate the Minkowski sums of 3-polytopes : application to tolerance analysis Denis Teissandier, Vincent Delos, Lazhar Homri 12th CIRP Conference on Computer Aided Tolerancing, Apr 2012, Huddersfield, United Kingdom. 10, pp.84-90, 2013. <hal-00694205>
■ Contribution à l'analyse des tolérances géométriques d'un système mécanique par des polytopes Denis Teissandier Habilitation à diriger des Recherches (HDR), Université de Bordeaux I, France, 2012
■ Algorithm to calculate the Minkowski sums of 3-polytopes dedicated to tolerance analysis Denis Teissandier, Vincent Delos IMProVe International Conference 2011, Jun 2011, Venice, Italy. pp.521-531, 2011. <hal-00694163>
■ Algorithm to calculate the Minkowski sums of 3-polytopes based on normal fans Denis Teissandier, Vincent Delos Computer-Aided Design, Elsevier, 2011, 43 (12), pp.1567 - 1576. <10.1016/j.cad.2011.06.016>. <hal-00635842>
■ Intégration du comportement thermomécanique des pièces dans l'analyse des spécifications géométriques : application à une turbine de moteur d'hélicoptère Laurent Pierre PhD, Arts et Métiers ParisTech, 2011. French. <NNT : 2011ENAM0008>. <pastel-00594317>
■ Qualification of turbine architectures in a multiphysical approach: application to a turboshaft engine Laurent Pierre, Denis Teissandier, Jean-Pierre Nadeau 9th International Conference of IDMME - Virtuazl Concept, Oct 2010, Bordeaux, France <hal-01094175>
■ Integration of thermomechanical strains into tolerancing analysis Laurent Pierre, Denis Teissandier, Jean-Pierre Nadeau International Journal on Interactive Design and Manufacturing, Springer Verlag (Germany), 2009, 3 (4), pp.247-263. <10.1007/s12008-009-0058-8>. <hal-01019666>
■ A tolerancing framework to support geometric specifications traceability Jérôme Dufaure, Denis Teissandier International Journal of Advanced Manufacturing Technology, Springer, 2008, 36 (9-10), pp.894-907
■ Influence of the standard components integration on the tolerancing activity Jérôme Dufaure, Denis Teissandier, Gilles Débarbouillé 9th CIRP seminar on CAT, Chapter "Models for Computer Aided Tolerancing in Design and Manufacturing", Springer, 2007, pp.235-244
■ Operations on polytopes: application to tolerance analysis Denis Teissandier, Vincent Delos, Yves Couétard 6th CIRP Seminar on CAT, Mar 1999, Enschede, Netherlands. pp.425-433, 1999. <hal-00604749v1> | |||||||||||||
■ A Computer-Aided Tolerancing model: proportioned assemblies clearance volume Denis Teissandier, Yves Couétard, Alain Gérard Computer Aided Design, Elsevier, Vol 31, pp.805-817, 1999 |
Contacts
DENIS TEISSANDIER
I2M UMR CNRS 5295 Arts et Métiers ParisTech
I2M UMR CNRS 5295 Arts et Métiers ParisTech
Esplanade des Arts et Métiers
33405 TALENCE
05 56 84 63 93
Contacter par courriel
VINCENT DELOS
I2M UMR CNRS 5295 Arts et Métiers ParisTech
Esplanade des Arts et Métiers
33405 Talence
05 56 84 53 33 poste 54 51
Contacter par courriel
