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Structural Optimization

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Part of the book series: International Series in Operations Research & Management Science ((ISOR,volume 285))

Abstract

This final chapter on network-type problems deals with finding the best design of a structure to support a specified load at a fixed set of points.

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Notes

  1. 1.

    Civil engineers refer to beams as members.

References

  • Bendsøe, M., Ben-Tal, A., & Zowe, J. (1994). Optimization methods for truss geometry and topology design. Structural Optimization, 7, 141–159.

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  • Dorn, W., Gomory, R., & Greenberg, H. (1964). Automatic design of optimal structures. Journal of de Mécanique, 3, 25–52.

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  • Hemp, W. (1973). Optimum structures. Oxford: Clarendon Press.

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  • Michell, A. (1904). The limits of economy of material in frame structures. Philosophical Magazine, 8, 589–597.

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  • Recski, A. (1989). Matroid theory and its applications in electric network theory and in statics. Berlin-Heidelberg-New York: Springer.

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  • Rozvany, G. (1989). Structural design via optimality criteria. Dordrecht: Kluwer.

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Vanderbei, R.J. (2020). Structural Optimization. In: Linear Programming. International Series in Operations Research & Management Science, vol 285. Springer, Cham. https://doi.org/10.1007/978-3-030-39415-8_16

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