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The Method of Moving Asymptotes (MMA) with Some Extensions

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Optimization of Large Structural Systems

Part of the book series: NATO ASI Series ((NSSE,volume 231))

Abstract

This lecture deals with the Method of Moving Asymptotes (MMA), which is a mathematical programming method for structural optimization. In particular, some recent extensions (including “minimax” formulations) are described.

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References

  1. Svanberg, K. (1987) “The method of moving asymptotes–a new method for structural optimization”, International Journal for Numerical Methods in Engineering 24, 359–373.

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  2. Schmit, L.A. and Farshi, B. (1974) “Some approximation concepts for structural synthesis”, AIAA Journal 12, 692–699.

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  3. Fleury, C. (1979) “Structural weight optimization by dual methods of convex programming”, International Journal for Numerical Methods in Engineering 14, 1761–1783.

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  4. Fleury, C. and Braibant, V. (1986) “Structural optimization–a new dual method using mixed variables”, International Journal for Numerical Methods in Engineering 23, 409–428.

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  5. Fletcher, R. (1987) “Practical Methods of Optimization”, Second edition, John Wiley Sons.

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© 1993 Springer Science+Business Media Dordrecht

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Svanberg, K. (1993). The Method of Moving Asymptotes (MMA) with Some Extensions. In: Rozvany, G.I.N. (eds) Optimization of Large Structural Systems. NATO ASI Series, vol 231. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-9577-8_26

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  • DOI: https://doi.org/10.1007/978-94-010-9577-8_26

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-9579-2

  • Online ISBN: 978-94-010-9577-8

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