Skip to main content
Log in

Application of Evolutionary Strategies to Optimal Design of Multibody Systems

  • Published:
Multibody System Dynamics Aims and scope Submit manuscript

Abstract

This paper is concerned with the application of evolutionary strategiesto the optimization of the kinematic or dynamic behaviour of mechanicalsystems. Although slower than classical deterministic, gradient-basedmethods, they represent an interesting alternative: they are global,they should be more robust as they do not rely on continuity andderivability conditions and they can use the simulation software as is.They are inspired from natural evolution: the design variablescorresponding to the genes of an individual mutate from generation togeneration and the ones who survive are those that are the best fittedto their environment, that's to say with the best objective function.The implementation of evolutionary strategies is presented as well assome guidelines to choose the most important parameters. Two examplesare developed for the sake of illustration: the kinematic optimizationof a suspension and the dynamic optimization of the comfort of a railwayvehicle. Finally, the performances are compared with respect todeterministic methods and genetic algorithms.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Haug, E.J. and Arora, J.S., Applied Optimal Design, John Wiley & Sons, Chichester, UK, 1979.

    Google Scholar 

  2. Haug, E.J., Design Sensitivity Analysis of Dynamic Systems, NATO Series, Vol. F27, Kluwer Academic Publishers, Dordrecht, 1987.

    Google Scholar 

  3. Bestle D. and Eberhard P., 'Analysing and optimizing multibody systems', Mechanics of Structures and Machines 20(1), 1992, 67-92.

    Google Scholar 

  4. Kim, M.-S. and Choi D.-H., 'Multibody dynamic response optimization with ALM and approximate line search', Multibody System Dynamics 1(1), 1997, 47-64.

    Google Scholar 

  5. Schulz, M., Mucke, R. and Walser H.-P., 'Optimization of mechanisms with collisions and unilateral constraints', Multibody System Dynamics 1(2), 1997, 223-240.

    Google Scholar 

  6. Dias, J.M.P. and Pereira, M.S., 'Sensitivity analysis of rigid-flexible multibody systems', Multibody System Dynamics 1(3), 1997, 303-322.

    Google Scholar 

  7. Pedersen, N.L., 'Optimization of the rigid body mechanism in a wobble plate compresor', Multibody System Dynamics 1(4), 1997, 433-448.

    Google Scholar 

  8. Hansen, M.R., 'An efficient method for synthesis of planar multibody systems including shape of bodies as design variables', Multibody System Dynamics 2(2), 1998, 115-143.

    Google Scholar 

  9. Ghasemi, M.R. and Hinton, E., 'A genetic search based arrangement of load combinations in structural analysis', in Advances in Computational Structures Technology, B.H.V. Topping (ed.), Civil-Comp Press, Edinburgh, 1996, 85-91.

    Google Scholar 

  10. Ghasemi, M.R. and Hinton, E., 'Truss optimization using genetic algorithms', in Advances in Structural Optimization, B.H.V. Topping (ed.), Civil-Comp Press, Edinburgh, 1996, 59-75.

    Google Scholar 

  11. Jenkins, W.M., 'Structural optimization with the genetic algorithm', The Structural Engineer 64, 1991, 418-422.

    Google Scholar 

  12. Miyamura, A., Kohama, Y. and Takada, T., 'Optimal allocation of shear wall at 3D frame by genetic algorithms', in Advances in Structural Optimization for Structural Engineering, B.H.V. Topping (ed.), Civil-Comp Press, Edinburgh, 1996, 73-79.

    Google Scholar 

  13. Rajeev, S. and Krishnamoorthy, C.S., 'Discrete optimization of structures using genetic algorithms', ASCE, Journal of Structural Engineering 118, 1992, 1233-1250.

    Google Scholar 

  14. Salajegheh, K., 'Optimum design of plate and shell structures with discrete design variables', in Advances in Structural Optimization, B.H.V. Topping and M. Papadrakakis (eds), Civil-Comp Press, Edinburgh, 1994, 187-193.

    Google Scholar 

  15. Schütz, M. and Schwefel, H.-P., 'Evolutionary approaches to solve three challenging engineering tasks', Computer Methods in Applied Mechanics and Engineering 186(2-4), 2000, 141-170.

    Google Scholar 

  16. Papadrakakis, M., Lagaros, N.-D., Tsompanakis, Y. and Plevris, V., 'Large scale structural optimization: Computational methods and optimization algorithms' Archives of Computational Methods in Engineering 8(3), 2001, 239-301.

    Google Scholar 

  17. Franchi, C.G., Migone, F. and Toso, A., 'Genetic algorithms in multi-link front suspension optimization', in Proceedings of 11th ADAMS European Users Conference, Mechanical Dynamics Inc. (ed.), Frankfurt, Germany, 1996, 1-16.

    Google Scholar 

  18. Datoussaïd, S., 'Optimal design of multibody systems by using genetic algorithms', Vehicle System Dynamics Suppl. 28, 1998, 704-710.

  19. Datoussaïd S., 'Optimisation du comportement dynamique et cinématique de systèmes multicorps à structure cinématique complexe', Ph.D. Thesis, Faculté Polytechnique de Mons (Belgium), 1999.

    Google Scholar 

  20. Datoussaïd, S. and Verlinden, O., 'Application of Evolutionary Strategies to Optimal Design of Multibody Systems', in Advances in Computational Multibody Dynamics, Lisbon, W.O. Schiehlen and J.A.C. Ambrosio (eds), IDMEC/IST, 1999, 645-659.

  21. Schittkowski, K., 'Numerical optimization-Theory, methods and applications', in Numerical Analysis in Automotive Engineering, VDI-Berichte, Vol. 816, VDI, Düsseldorf 1990, 191-202.

    Google Scholar 

  22. Bertsekas, D.P., Nonlinear Programming, Athena Scientific, Belmont, MA, 1995.

    Google Scholar 

  23. Holland, J.H., Adaptation in Natural and Artificial Systems, The University of Michigan Press, Ann Arbor, MI, 1976.

    Google Scholar 

  24. Schwefel, H.-P., Numerical Optimization of Computer Models, John Wiley, Chichester, UK, 1981.

    Google Scholar 

  25. Fogel, D.B., 'An introduction to simulated evolutionary optimization', IEEE Transactions on Neural Networks 5(1), 1994, 3-14.

    Google Scholar 

  26. Goldberg, D.E., Genetic Algorithms in Search, Optimization, and Machine Learning, Addison-Wesley, Reading, MA, 1989.

    Google Scholar 

  27. Kortum, W., Sharp, R.S. and de Pater, A.D., Application of Multibody Computer Codes to Vehicle System Dynamics, CCG (Society for Engineering and Scientific Education), Wessling, Germany, 1991.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Datoussaid, S., Verlinden, O. & Conti, C. Application of Evolutionary Strategies to Optimal Design of Multibody Systems. Multibody System Dynamics 8, 393–408 (2002). https://doi.org/10.1023/A:1021101912826

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1021101912826

Navigation