Abstract
A multi-objective evolutionary algorithm is applied to optimize the design of a helical spring made out of a composite material. The criteria considered are the minimization of the mass along with the maximization of the stiffness of the spring. Considering the computation time required for finite element analyses, the optimization is performed using approximate relations between design parameters. Dual kriging interpolation allows improving the accuracy of the classical model of spring stiffness by estimating the error between the model and the results of finite element analyses. This error is taken into account by adding a correction function to the stiffness function. The NSGA-II algorithm is applied and shows satisfactory results, while using the correction function induces a displacement of the Pareto front.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Yokota, T., Taguchi, T., Gen, M.: A solution method for optimal weight design problem of helical spring using genetic algorithms. Computers Ind. Engng. 33(1-2), 71–76 (1997)
Gobbi, M., Mastinu, G.: On the optimal design of composite material tubular helical springs. In: Meccanica, vol. 36, pp. 525–553. Kluwer Academic Publishers, Dordrecht (2002)
Srinivas, D., Deb, K.: Multiobjective optimization using nondominated sorting in genetic algorithms. Journal of Evolutionary Computation 2(3), 221–248 (1995)
Deb, K., Agrawal, S., Pratap, A., Meyarivan, T.: A fast elitist non-dominated sorting genetic algorithm for multi-objective optimization: NSGA-II. In: Schoenauer, M., et al. (eds.) Parallel Problem Solving from Nature, vol. 6, pp. 849–858 (2000)
Zitzler, E., Deb, K., Thiele, L.: Comparison of multiobjective evolutionary algorithms: empirical results. Evolutionary Computation 8(2), 173–195 (2000)
Hamda, H., Roudenko, O., Schoenauer, M.: Application of a multi-objective evolutionary algorithm to topological optimum design. In: Parmee, I. (ed.) Fifth International Conference on Adaptive Computing in Design and Manufacture (2002)
Lahanas, M., Baltas, D., Zamboglou, N.: A hybrid evolutionary multiobjective algorithm for anatomy based dose optimization algorithm in HDR brachytherapy. Physics in Medecine and Biology 48, 399–415 (2003)
Wu, J.-L., Agogino, A.M.: Automating keyphrase extraction with multi-objective genetic algorithms. In: Proceedings of the 37th Hawaii International Conference on Systems Sciences (2004)
Jin, Y.: Fitness approximation in evolutionary computation: a survey. Soft Computing Journal 4 (2003) (in press)
Cressie, N.: Statistics for Spatial Data. Wiley, Chichester (1993)
Trochu, F.: A contouring program based on dual kriging interpolation. Engineering with Computers 9, 160–177 (1993)
Cohn, D.A., Ghahramani, Z., Jordan, M.I.: Active learning with statistical models. Journal of Artificial Intelligence Research 4, 129–145 (1996)
Abe, N., Mamitsuka, H.: Query learning strategies using boosting and bagging. In: Proceedings of The Fifteenth International Conference on Machine Learning, pp. 1–9 (1998)
Parmee, I.: Evolutionary and Adaptive Computing in Engineering Design. Springer, Heidelberg (2001)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Ratle, F., Lecarpentier, B., Labib, R., Trochu, F. (2004). Multi-objective Optimization of a Composite Material Spring Design Using an Evolutionary Algorithm. In: Yao, X., et al. Parallel Problem Solving from Nature - PPSN VIII. PPSN 2004. Lecture Notes in Computer Science, vol 3242. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30217-9_81
Download citation
DOI: https://doi.org/10.1007/978-3-540-30217-9_81
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-23092-2
Online ISBN: 978-3-540-30217-9
eBook Packages: Springer Book Archive