PolitoCAT and Politopix

Cours en français                                                                           CP

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 4.0.0 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.

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

 2017

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. <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>

 

 2016

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.

 

 2015

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>

 

 2014

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>

 

 2013

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>

 

 2012

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

 

 2011

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>

 

 2010

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>

 

 2009

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>

 

 2008

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

 

 2007

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

 

 1999

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

Contact

D.Teissandier - V. Delos
I2M UMR CNRS 5295
Arts et Métiers ParisTech
Centre de Bordeaux-Talence
Esplanade des Arts et Métiers
33400 TALENCE
France