A Relative-Stress Based Method for Structural Shape Optimization

Zhi Xue Wu

doi:10.4028/www.scientific.net/AMM.327.271

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 327A Relative-Stress Based Method for Structural...

A Relative-Stress Based Method for Structural Shape Optimization

Abstract:

A gradientless method for two-dimensional shape optimization is developed based on the magnitude of local relative-stress difference along the design boundary. The design boundary is modeled by using cubic splines, which are determined by a number of control points. The optimal shape of a design boundary with constant stress is achieved iteratively by moving control points consecutively (correspondingly, changing the shape of the design boundary) by an amount depending on the relative-stress difference between two neighboring boundary points. The key feature of the optimization method is that no arbitrary threshold stress is required. The result quality in terms of accuracy and efficiency are tested and discussed with several finite element analysis examples.

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Periodical:

Applied Mechanics and Materials (Volume 327)

Pages:

271-275

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.327.271

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Online since:

June 2013

Authors:

Zhi Xue Wu

Keywords:

Finite Element Analysis (FEA), Fully Stressed Design, Shape Optimization, Stress Concentration

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References

[1] C. Mattheck, S. Burkhardt, A new method of structural shape optimization based on biological growth. Int. J. Fatigue. 12 (1990) 185-190.

DOI: 10.1016/0142-1123(90)90094-u

Google Scholar

[2] A. Baumgartner, L. Harzheim, C. Mattheck, SKO: Soft Kill Option. The biological way to find an optimum structure topology. Int. J. Fatigue. 14 (1992) 387-393.

DOI: 10.1016/0142-1123(92)90226-3

Google Scholar

[3] C. Mattheck, Design in nature – learning from trees. Springer, Berlin Heidelberg New York, 1998.

Google Scholar

[4] C. Mattheck, K. Bethge, The structural optimization of trees. Naturwissenschaften. 85 (1998) 1-10.

Google Scholar

[5] Y. M. Xie, G. P. Steven, A simple evolutionary procedure for structural optimization. Comput. Struct. 49 (1993) 885-896.

DOI: 10.1016/0045-7949(93)90035-c

Google Scholar

[6] M. Heller, R. Kaye, L. R. Rose, A gradientless finite element procedure for shape optimization. The Journal of Strain Analysis for Engineering Design. 34 (1999) 323-336.

DOI: 10.1243/0309324991513669

Google Scholar

[7] W. Waldman, M. Heller, G. X. Chen, Optimal free-form shapes for shoulder fillets in flat plates under tension and bending. Int. J. Fatigue. 23 (2001) 185-190.

DOI: 10.1016/s0142-1123(01)00011-1

Google Scholar

[8] M. Heller, M. McDonald, M. Burchill, K. Watters, F-111 airframe life extension through rework shape optimization of critical features in the wing pivot fitting. In: 6th Joint FAA/DoD/NASA Aging Aircraft Conference, September, San Francisco, California, 2002, pp.16-19.

DOI: 10.1142/9789812777973_0089

Google Scholar

[9] E. Schnack, An optimisation procedure for stress concentrations by the finite element technique. Int. J. Numer. Meth. Engng. 14 (1979) 115-124.

DOI: 10.1002/nme.1620140109

Google Scholar

[10] Y. L. Hsu, S. D. Sheppard, D. J. Wilde, The curvature function method for two-dimensional shape optimization under stress constraints. Comput. Struct. 49 (1995) 885-896.

DOI: 10.1016/0045-7949(94)00490-t

Google Scholar

[11] A. E. Tekkaya, A. Güneri, Shape optimization with the biological growth method: a parameter study. Engineering Computations. 13 (1996) 4-18.

DOI: 10.1108/02644409610152989

Google Scholar