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AN APPROACH FOR THE INCLUSION OF LOADING CONDITIONS IN A POLYHEDRAL-BASED METHOD FOR EARLY VARIATION MANAGEMENT

Published online by Cambridge University Press:  19 June 2023

Carlos Andres Restrepo Garcia ,
Denis Teissandier ,
Nabil Anwer ,
Yann Ledoux ,
Vincent Delos ,
Laurent Pierre  and
Sonia Carolina Garcia Gomez
Carlos Andres Restrepo Garcia*
Affiliation:
University of Bordeaux; Paris-Saclay University
Denis Teissandier
Affiliation:
University of Bordeaux;
Nabil Anwer
Affiliation:
Paris-Saclay University
Yann Ledoux
Affiliation:
University of Bordeaux;
Vincent Delos
Affiliation:
University of Bordeaux;
Laurent Pierre
Affiliation:
Paris-Saclay University
Sonia Carolina Garcia Gomez
Affiliation:
University of Bordeaux;
*
Restrepo Garcia, Carlos Andres, University of Bordeaux, France, carlos.restrepo@u-bordeaux.fr

Abstract

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The variation management and product quality processes are important tasks to guarantee the assemblability of the systems, the scrap reduction and to avoid delays on production and launching. The compound of activities in Geometric Dimensioning and Tolerancing (GD&T) are necessary, especially in the early design stages, to take into account variations of different nature and from different sources. In this paper, an approach for considering the loading conditions in a polyhedral-based approach in tolerancing design is presented. The load boundary conditions are represented as additional displacement restrictions in the deviation space. The restrictions imposed by the physical limits of a system, the ones coming from the loading conditions and the degrees of freedom (DoF) can be all described and represented with a single polyhedron operand. The approach is illustrated using a simplified 2-D model for both ideal and non-ideal geometry. A 3-D model describing an unilateral contact is presented as a case study using Skin Model Shapes. By taking into account geometrical form defects, external loads, and the kinematics of the system, its sensitivity to variations can be reduced even from early design stages.

Keywords

Tolerance representation and managementRobust designDesign for X (DfX)
Type
Article
Information
Proceedings of the Design Society , Volume 3: ICED23 , July 2023 , pp. 515 - 524
Creative Commons
Creative Common License - CCCreative Common License - BYCreative Common License - NCCreative Common License - ND
This is an Open Access article, distributed under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives licence (http://creativecommons.org/licenses/by-nc-nd/4.0/), which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is unaltered and is properly cited. The written permission of Cambridge University Press must be obtained for commercial re-use or in order to create a derivative work.
Copyright
The Author(s), 2023. Published by Cambridge University Press

References

Ballu, Alex, Dantan, Jean-Yves, L.M. (2010), “Geometric Tolerancing Languages Language of Tolerancing : GeoSpelling”, in: Francois Villeneuve, L.M. (Editor), Geometric Tolerancing of Products, chapter Chapter 2, ISTE Ltd, pp. 23–53.Google Scholar
Arroyave-Tobon, S., Teissandier, D. and Delos, V. (2017), “Tolerance Analysis with Polytopes in HV- Description”, Journal of Computing and Information Science in Engineering, Vol. 17 No. 4, pp. 1–9, http://doi.org/10.1115/L4036558.CrossRefGoogle Scholar
Bertsche, B. (2008a), “Reliability in Automotive and Mechanical Engineering”, in: Reliability in Automotive and Mechanical Engineering, chapter 4 FMEA F, Springer-Verlag Berlin Heidelberg, pp. 98–159, http://doi.org/10.1007/978-3-540-34282-3.CrossRefGoogle Scholar
Bertsche, B. (2008b), “Reliability in Automotive and Mechanical Engineering”, in: Reliability in Automotive and Mechanical Engineering, chapter 5 FTA, Springer-Verlag Berlin Heidelberg, pp. 160–190, http://doi.org/10.1007/978-3-540-34282-3.CrossRefGoogle Scholar
Cammarata, A. (2017), “A novel method to determine position and orientation errors in clearance-affected over- constrained mechanisms”, Mechanism and Machine Theory, Vol. 118, pp. 247–264, http://doi.org/10.1016/2017.08.012.CrossRefGoogle Scholar
Davidson, J.K., Mujezinovic, A. and Shah, J.J. (2002), “A new mathematical model for geometric tolerances as applied to round faces”, Journal of Mechanical Design, Transactions of the ASME, Vol. 124 No. 4, pp. 609–622, http://doi.org/10.1115/L1497362.CrossRefGoogle Scholar
Delos, V., Teissandier, D., Malyshev, A., Nuel, G. and Garcia, S.C. (2021), “Polyhedral-based Modeling and Algorithms for Tolerancing Analysis”, CAD Computer Aided Design, Vol. 141, p. 103071, http://doi.org/10.1016/j.cad.2021.103071.CrossRefGoogle Scholar
Ebro, M., Howard, T.J. and Rasmussen, J.J. (2012), “The foundation for robust design: Enabling robustness through kinematic design and design clarity”, Proceedings of International Design Conference, DESIGN, Vol. DS 70, pp. 817–826.Google Scholar
Eifler, T., Ebro, M. and Howard, T.J. (2013), “A classification of the industrial relevance of robust design methods”, Proceedings of the International Conference on Engineering Design, ICED, Vol. 9 DS75-09 No. August, pp. 427–436.Google Scholar
Giordano, M., Samper, S. and Petit, J.P. (2007), “Tolerance analysis and synthesis by means of deviation domains, axi-symmetric cases”, in: Davidson, J.K. (Editor), Models for Computer Aided Tolerancing in Design and Manufacturing, Springer Netherlands, Dordrecht, pp. 85–94.CrossRefGoogle Scholar
Liu, J., Zhang, Z., Ding, X. and Shao, N. (2018), “Integrating form errors and local surface deformations into tolerance analysis based on skin model shapes and a boundary element method”, CAD Computer Aided Design, Vol. 104, pp. 45–59, http://doi.org/10.1016/jxad.2018.05.005.CrossRefGoogle Scholar
Polini, W. (2011), “Geometric Tolerance Analysis”, in: Colosimo, B.M. and Senin, N. (Editors), Geometric Tolerances: Impact on Product Design, Quality Inspection and Statistical Process Monitoring, Springer London, pp. 39–68, http://doi.org/10.1007/978-1-84996-311-4-2.CrossRefGoogle Scholar
Rameau, J.F., Serre, P. and Moinet, M. (2018), “Clearance vs. tolerance for rigid overconstrained assemblies”, CAD Computer Aided Design, Vol. 97, pp. 27–40, http://doi.org/10.1016/jxad.2017.12.001.CrossRefGoogle Scholar
Garcia, Restrepo, Teissandier, C.A., Anwer, D., Delos, N., Ledoux, V., Pierre, Y., L. (2022), “An integrated open source CAT based on Skin Model Shapes”, in: 17 th CIRP Conference on Computer Aided Tolerancing, Vol. 114, Elsevier B.V., pp. 1–6, http://doi.org/10.1016/j.procir.2022.10.020. https://hal.archives-ouvertes.fr/hal-03696571/CrossRefGoogle Scholar
Samper, S., Adragna, P.A., Favreliere, H. and Pillet, M. (2009), “Modeling of 2D and 3D assemblies taking into account form errors of plane surfaces”, Journal of Computing and Information Science in Engineering, Vol. 9 No. 4, pp. 1–12, http://doi.org/10.1115/L3249575.CrossRefGoogle Scholar
Siciliano, B. and Khatib, O. (2016), Springer handbook of robotics, Springer Berlin Heidelberg, http://doi.org/10.1007/978-3-319-32552-1.CrossRefGoogle Scholar
Yan, X. and Ballu, A. (2018), “Tolerance analysis using skin model shapes and linear complementarity conditions”, Journal of Manufacturing Systems, Vol. 48 No. July, pp. 140–156, http://doi.org/10.1016/jjmsy.2018.07.005.CrossRefGoogle Scholar