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Shape and Topology Optimization of Structures

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Computational Mechanics ’95

Abstract

Structural optimization links conventional analysis tools to mathematical optimization schemes (Figure 1). The parameterization of the geometry plays an important role reducing the number of optimization variables [3] (Figure 2). The present study focuses on two aspects: The extension of conventional shape optimization to geometrically nonlinear and stability problems [6] and the introduction of adaptive topology optimization; for details see [4], [5].

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References

  1. M.R Bendsøe and N. Kikuchi, Generating Optimal Topologies in Structural Design Using a Homogenization Method, Comp. Meth. Appl. Mech. Eng., 71 (1988), pp. 197–224.

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  2. M.R Bendsøe, Optimal Shape Design as a Material Distribution Problem, Struct. Optimization, 1 (1989), pp. 193–202.

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  3. K.-U. Bletzinger, S. Kimmich and E. Ramm, Efficient Modelling in Shape Optimal Design, Comp. Systems in Eng., 2 (1991), pp. 483–495.

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  4. K. Maute and E. Ramm, Adaptive Topology Optimization, accepted for publication in Structural Optimization (1995).

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  5. E. Ramm, K.-U. Bletzinger, R. Reitinger and K. Maute, The Challenge of Structural Optimization, Proc. 2nd Int. Conf. on Comp. Struct. Techn., Athens, Greece, 1994 (eds. M. Papadrakakis, B. Topping).

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  6. R. Reitinger and E. Ramm, Maximizing Structural Efficiency Including Buckling and Imperfection Sensitivity. Proc. 5th AIAA/USAF/ISSMO Symp. on Multi-disciplinary Analysis and Optimization, Panama City, Florida, 1994.

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© 1995 Springer-Verlag Berlin Heidelberg

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Ramm, E., Maute, K., Reitinger, R. (1995). Shape and Topology Optimization of Structures. In: Atluri, S.N., Yagawa, G., Cruse, T. (eds) Computational Mechanics ’95. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79654-8_82

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  • DOI: https://doi.org/10.1007/978-3-642-79654-8_82

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-79656-2

  • Online ISBN: 978-3-642-79654-8

  • eBook Packages: Springer Book Archive

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