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Topology Optimization of Three-Dimensional Trusses

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Topology Design of Structures

Part of the book series: NATO ASI Series ((NSSE,volume 227))

Abstract

The basic assumption for the present work is the single load condition. In other aspects the stated problem is rather general and the important issue of local stability is taken into account. Even for this problem it is proved that we can always find a statically determined topology that will minimize the cost of the structure. The constraints of the optimization problem are allowable stresses, with thw allowable compressive stresses being design—dependent. The formulation is given in terms of bar forces and a modified Simplex technique is applied for the numerical solution.

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References

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© 1993 Springer Science+Business Media Dordrecht

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Pedersen, P. (1993). Topology Optimization of Three-Dimensional Trusses. In: Bendsøe, M.P., Soares, C.A.M. (eds) Topology Design of Structures. NATO ASI Series, vol 227. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1804-0_2

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  • DOI: https://doi.org/10.1007/978-94-011-1804-0_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4795-1

  • Online ISBN: 978-94-011-1804-0

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