On the relationship between optimum structural topologies and geometries

U. Kirsch

doi:10.1007/bf01743519

journal article Mar 01, 1990

On the relationship between optimum structural topologies and geometries

U. Kirsch

Structural Optimization Vol. 2 No. 1 pp. 39-45 · Springer Science and Business Media LLC

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References

11

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Dorn, W.S.; Gomory, R.E.; Greenberg, H.J. 1964: Automatic design of optimal structures.J. de Mech. 3, 25–52

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Hansen, S.R.; Vanderplaats, G.N. 1988: An approximation method for configuration optimization of trusses.Proc. AIAA/ASME/ASCE/AHS 29th Structures, Structural Dynamics and Materials Conf. (held in Williamsburg, Virginia), pp. 1667–1676 10.2514/6.1988-2432

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Kirsch, U. 1982: Synthesis of structural geometry using approximation concepts.Comp. Struct. 15, 305–314 10.1016/0045-7949(82)90021-9

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Kirsch, U.; Taye, S. 1986: On optimal topology of grillage structures.Eng. Comp 1, 229–243 10.1007/bf01200139

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Kirsch, U. 1987: Optimal topologies of flexural systems.Eng. Opt. 11, 141–149 10.1080/03052158708941042

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Kirsch, U. 1989a: Optimal topologies of truss structures.Comp. Meth. Appl. Mech. Eng. 72, 15–28 10.1016/0045-7825(89)90119-9

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Kirsch, U. 1989b: Optimal topologies of structures.Appl. Mech. Rev. 42, 223–239 10.1115/1.3152429

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Lipson, S.L.; Gwin, L.B. 1977: The complex method applied to optimal truss configuration.Comp. Struct. 7, 461–468 10.1016/0045-7949(77)90083-9

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Topping, B.H.V. 1983: Shape optimization of skeletal structures. A review.J. Struct. Eng. ASCE 109, 1933–1951 10.1061/(asce)0733-9445(1983)109:8(1933)

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Vanderplaats, G.N.; Moses, F. 1972: Automated design of trusses for optimum geometry.J. Struct. Div. ASCE 98, 671–690 10.1061/jsdeag.0003181

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Vanderplaats, G.N. 1984: Numerical methods for shape optimization. An assessment of the state of the art. In: Atrek, E.; Gallagher, R.H.; Ragsdell, K.M.; Zienkiewicz, O.C. (eds.)New directions in optimum structural design. Chichester: John Wiley and Sons

Cited By

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11

References

Details

Published: Mar 01, 1990
Vol/Issue: 2(1)
Pages: 39-45
License: View

Authors

U

U. Kirsch

Cite This Article

U. Kirsch (1990). On the relationship between optimum structural topologies and geometries. Structural Optimization, 2(1), 39-45. https://doi.org/10.1007/bf01743519

On the relationship between optimum structural topologies and geometries

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