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Variation Analysis of Design Parameters of Fibre-Reinforced Plastic Parts

  • Michael Franz (a1), Benjamin Schleich (a1) and Sandro Wartzack (a1)


Lightweight Design as an engineering domain is becoming more and more important in terms of sustainable mobility. Therefore, a large number of researchers is developing methods for utilisation of modern, but as well more complex materials with high lightweight potential. One subgroup of these materials are fibre-reinforced plastics (FRP). A lot of work is done supporting the design engineer in exploiting the structural and mechanical behaviour as good as possible. Whereas variations of laminate parameters, resulting from production, are poorly studied. Their impact especially on defined measures under load is of high importance, e.g. having a look on clearances in automotive industry. Because of the high complexity of FRP-parts, resulting from many laminate parameters, tolerancing is not an intuitive process. This is reflected in the fact that there is no defined procedure for tolerancing of FRP- parts. To support the design engineer the authors perform sensitivity analysis for simple loadcases to identify layers with a high importance on a defined measure. The results then are generalised to provide general guidelines to the design engineer.

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This is an Open Access article, distributed under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives licence (, 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.

Corresponding author

Contact: Franz, Michael, Friedrich-Alexander-Universität Erlangen-Nürnberg, Engineering Design, Germany,


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Albert, C. (2002), “Spring-in and warpage of angled composite laminates”, Composites Science and Technology, Vol. 62 No. 14, pp. 18951912.
ANSYS Inc. (2017), ANSYS Help: ANSYS Dokumentation, SAS IP Inc., Canonsburg, PA 15317.
Bailie, J.A., Ley, R.P. and Pasricha, A. (1997), “A summary and review of composite laminate design guidelines”, Task 22 NASA Contract NAS1-19347. Military aircraft Systems Division, El Segundo, CA.
Bruyneel, M. (2008), “Optimization of laminated composite structures: problems, solution procedures and applications”, In: Durand, L.P. (Ed.), Composite Materials Research Progress, NOVA Science Publishers.
Bucher, C. (2007), “Basic concepts for robustness evaluation using stochastic analysis”, Paper Presented at EUROMECH Colloquium 482, 10.-12.09.2007, London, available at: (accessed 31 October 2018).
Ceglarek, D. and Shi, J. (1995), “Dimensional variation reduction for automotive body assembly”, Manufacturing Review, Vol. 8 No. 2.
Cervellera, P., Zhou, M. and Schramm, U. (2005), “Optimization driven design of shell structures under stiffness, strength and stability requirements”, In: Herskovits, J., Mazorche, S. and Canelas, A. (Eds.), WCSMO6: 6th World Congress on Structural and Multidisciplinary Optimization, 30th May to 3rd June 2005, Rio de Janeiro, Brazil Book of Abstracts and CD-ROM Proceedings, COPPE Publication, Rio de Janeiro, Brazil.
Conceição António, C. and Hoffbauer, L.N. (2007), “Uncertainty analysis based on sensitivity applied to angle-ply composite structures”, Reliability Engineering & System Safety, Vol. 92 No. 10, pp. 13531362.
Dong, C. (2003), Dimension Variation Prediction and Control for Composites, Dissertation, Florida State University.
Dong, C. (2010), “A parametric study on the process-induced deformation of composite T-stiffener structures”, Composites Part A: Applied Science and Manufacturing, Vol. 41 No. 4, pp. 515520.
Dynardo GmbH (2017), Methods for Multi-Disciplinary Optimization and Roboustness Analysis, Weimar.
European Union (2009), Regulation (EC) No 443/2009 of the European Parliament and of the Council of 23 April 2009 Setting Emission Performance Standards for New Passenger Cars as Part of the Community's Integrated Approach to Reduce CO 2 Emissions from Light-Duty Vehicles: OJ L 140.
Jareteg, C., Wärmefjord, K., Söderberg, R., Lindkvist, L., Carlson, J., Cromvik, C. and Edelvik, F. (2014), “Variation simulation for composite parts and assemblies including variation in fiber orientation and thickness”, Procedia CIRP, Vol. 23, pp. 235240.
Kepple, J., Prusty, B.G., Pearce, G., Kelly, D., Thomson, R. and Degenhardt, R. (2013), “INFLUENCE OF IMPERFECTIONS ON AXIAL BUCKLING LOAD OF COMPOSITE CYLINDRICAL SHELLS”, In: Hoa, S.V. and Hubert, P. (Eds.), International Conference on Composite Materials 2013 (ICCM-19): Montreal, Quebec, Canada, 28 July - 2 August 2013, Curran Associates, Inc, Red Hook, NY, pp. 53325341.
Klein, D. (2017), “Ein simulationsbasierter Ansatz für die beanspruchungsgerechte Auslegung endlosfaserverstärkter Faserverbundstrukturen”, Dissertation, Friedrich-Alexander-Universität Erlangen-Nürnberg, 2017.
Klein, D., Malezki, W. and Wartzack, S. (2015), “Introduction of a computational approach for the design of composite structures at the early embodiment design stage”, In: Weber, C., Husung, S., Cantamessa, M., Cascini, G., Marjanovic, D. and Graziosi, S. (Eds.), Design for life: The 20th International Conference on Engineering Design (ICED 15); 27th - 30th July 2015, Politecnico di Milano, Italy, Design Society, Glasgow, pp. 105114.
Most, T. and Will, J. (2008), “Meta-model of Optimal Prognosisi - An automatic approach for variable reduction and optimal meta-model selection”, Paper Presented at Weimarer Optimierungs- und Stochastiktage 5.0, 20.-21.11.2008, Weimar, available at: (accessed 31 October 2018).
N.N. (2014), Leichtbau - Trends und Zukunftsmärkte: und deren Bedeutung für Baden-Württemberg, available at: (accessed 20 June 2017).
Nielsen, M.W. (2013), “Prediction of process induced shape distortions and residual stresses in large fibre reinforced composite laminates: With application to Wind Turbine Blades”, Technical University of Denmark (DTU), Kgs. Lyngby, 2013.
Saltelli, A. (Ed.) (2004), Sensitivity Analysis, Wiley Series in Probability and Statistics, Reprinted., Wiley, Chichester.
Schillo, C., Röstermundt, D. and Krause, D. (2015), “Experimental and numerical study on the influence of imperfections on the buckling load of unstiffened CFRP shells”, Composite Structures, Vol. 131, pp. 128138.
Schleich, B. and Wartzack, S. (2013), “How to determine the influence of geometric deviations on elastic deformations and the structural performance?”, Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture, Vol. 227 No. 5, pp. 754764.
Schürmann, H. (2007), Konstruieren mit Faser-Kunststoff-Verbunden, 2nd ed., Springer, Berlin, Heidelberg.
Sorrentino, L. and Bellini, C. (2015), “Compaction influence on spring-in of thin composite parts. Experimental and numerical results”, Journal of Composite Materials, Vol. 49 No. 17, pp. 21492158.
Stegmann, J. and Lund, E. (2005), “Discrete material optimization of general composite shell structures”, International Journal for Numerical Methods in Engineering, Vol. 62 No. 14, pp. 20092027.
Steinle, P. (2015), “Toleranzmanagement für Bauteile aus kohlenstofffaserverstärktem Kunststoff - Ursachen der geometrischen Streuung, präventive Vorhersagen der Maßhaltigkeit und der Einsatz des Werkstoffes im Rohbau”, available at: (accessed 1 December 2016).
Stockinger, A. (2010), “Computer Aided Robust Design – Verknüpfung rechnerunterstützter Entwicklung und virtueller Fertigung als Baustein des Toleranzmanagements”, Dissertation, Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), Erlangen, 2010.
Svanberg, J.M. (2002), Predictions of Manufacturing Induced Shape Distortions - High Performance Thermoset Composites, Dissertation, Luleå University of Technology.
Svanberg, J.M. and Holmberg, J.A. (2001), “An experimental investigation on mechanisms for manufacturing induced shape distortions in homogeneous and balanced laminates”, Composites Part A: Applied Science and Manufacturing, Vol. 32 No. 6, pp. 827838.
Völkl, H., Klein, D., Franz, M. and Wartzack, S. (2018), “An efficient bionic topology optimization method for transversely isotropic materials”, Composite Structures.
Walker, M. and Hamilton, R. (2006), “A technique for optimally designing fibre-reinforced laminated plates under in-plane loads for minimum weight with manufacturing uncertainties accounted for”, Engineering with Computers, Vol. 21 No. 4, pp. 282288.



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