Structural and Multidisciplinary Optimization

, Volume 33, Issue 2, pp 161–171 | Cite as

Parametric structural optimization with respect to the multiaxial high-cycle fatigue criterion

Industrial Applications

Abstract

Investigations on optimization of structures working in high-cycle load conditions were carried out and are presented in this paper. The development of a simple in application optimization algorithm for such structures was the main object of the authors. The work was concentrated on three principle areas: fatigue of material (with special regard to multiaxial criteria of high-cycle fatigue), parametric optimization of structures, and application of the finite element method. The investigations and numerical implementation of several high-cycle criteria were made and the most convenient one for optimization was selected. The main process of fatigue optimization was preceded by the testing of methods of structural optimization and the preparing the tools for improving the efficiency of the optimization algorithm. This stage includes preparation of software tools based on evolutionary algorithms. In addition, the decision variables were preselected through an investigation of the sensitivity of the objective function on small increments of these variables. The work was illustrated by examples of optimization of mechanical structures working in high-cycle load conditions. As observed in the computational examples, the proposed methodology of optimization allowed effectively lowering the mass of the studied structure while maintaining its durability on an established level. The tools and fatigue optimization methodology presented in this paper have universal character and can be applied to any case of a structure subjected to high-cycle loads.

Keywords

Structural optimization High-cycle fatigue Multiaxial fatigue criterion Finite element method 

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References

  1. Ansys Inc. (2004) Release 8.1 Documentation, Ansys Inc.Google Scholar
  2. Ballard P, Dang Van K, Deperrois A, Papadopoulos YV (1995) High cycle fatigue and a finite element analysis. Fatigue Fract Eng Mater Struct 18:397–411Google Scholar
  3. Bathe KJ (2003) The key challenges in computational mechanics. IACM Expressions no. 14. IACMGoogle Scholar
  4. Crossland B (1956) Effect of large hydrostatic pressures on the torsional fatigue strength of an alloy steel. In: Proceedings of the International Conference on Fatigue of Metals, Institution of Mechanical Engineers, London, pp 138–49Google Scholar
  5. Dang Van K, Papadopoulos IV (eds) (1999) High cycle metal fatigue, from theory to applications. CISM Courses and Lectures N° 392. Springer, Berlin Heidelberg New YorkGoogle Scholar
  6. Dang Van K, Griveau B, Message O (1989) On a new multiaxial fatigue limit criterion: theory and application, biaxial and multiaxial fatigue, EGF 3. Mechanical Engineering Publications, London, pp 479–496Google Scholar
  7. Garud YS (1981) Multiaxial fatigue: a survey of the state of the art. J Test Eval 9:165–178Google Scholar
  8. Latos W, Zyczkowski M (1973) The optimum of rotating shaft for combined fatigue strength. Appl Mech XXI (7–8):341–351Google Scholar
  9. Mrzyglod M (2005) Parametrical optimization of structures working in high-cycle load conditions. Cracow University of Technology, Ph.D. ThesisGoogle Scholar
  10. Osyczka A (2001) Evolutionary algorithms for single and multicriteria design optimization. Springer, Berlin Heidelberg New YorkGoogle Scholar
  11. Papadopoulos IV, Davoli P, Gorla C, Filippini M, Bernasconi A (1997) A comparative study of multiaxial high-cycle fatigue criteria for metals. Int J Fatigue 19:9–235CrossRefGoogle Scholar
  12. Sines G (1959) Behaviour of metals under complex static and alternating stresses, in ‘metal fatigue’. McGraw-Hill, New York, pp 145–169Google Scholar
  13. Walczak St (2003) Analysis of dynamic loads occurring in different types of independent car suspension systems. Cracow University of Technology, Ph.D. ThesisGoogle Scholar
  14. Wang Y, Yao W (2004) Evaluation and comparison of several multiaxial fatigue criteria. Int J Fatigue 26:17–25CrossRefMathSciNetGoogle Scholar
  15. You B, Lee S (1996) A critical review on multiaxial fatigue assessment of metals. Int J Fatigue 19:235–244CrossRefGoogle Scholar
  16. Zielinski AP, Sanecki H, Karas M (2001) Effectiveness of the Trefftz method in different engineering optimization procedures. Comput Assist Mech Eng Sci 8:479–493Google Scholar

Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  1. 1.Institute of Rail VehiclesCracow University of TechnologyCracowPoland
  2. 2.Institute of Machine DesignCracow University of TechnologyCracowPoland

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