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Convex Approximation Strategies in Structural Optimization

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Discretization Methods and Structural Optimization — Procedures and Applications

Part of the book series: Lecture Notes in Engineering ((LNENG,volume 42))

Abstract

The design optimization problem considered in this paper consists of minimizing some ob-jective function subject to constraints insuring the feasibility of the structural design.

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References

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

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  2. K. Svanberg, “Method of moving asymptotes - a new method for structural optimization”, International Journal for Numerical Methods in Engineering, Vol. 24, pp. 359–373, 1987.

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  3. C. Fleury, “Shape optimal design by the convex linearization method”, in The Optimum Shape: Automated Structural Design (J. Bennett and M. Botkin, eds.), Plenum Press, 1986, pp. 297–326.

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  4. J.H. Starnes and R.T. Haftka, “Preliminary design of composite wings for buckling, stress and displacement constraints”, Journal of Aircraft, Vol. 16, No. 8, pp. 564–570, 1979.

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  5. H. Smaoui, C. Fleury and L.A. Schmit, ‘Advances in Dual Algorithms and Convex Ap-proximation Methods’, Proceedings of AIAA/ASME/ASCE 29th Structures, Structral Dy-namics, and Materials Conference, Williamsburg, Va. April, 1988., pp. 1339–1347.

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  6. Woo, T.H., ‘Space Frame Optimization Subject to Frequency Constraints’, Proceedings of AIAA/ASME/ASCE/AHS 27 th Structures, Structral Dynamics, and Materials Confer-ence, San Antonio, Texas. May 19-21, 1986, pp.103–115.

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  7. R. Fletcher, Practical Methods of Optimization - Vol. 2: Constrained Optimization, John Wiley & Sons, 1981.

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  8. C. Fleury, ‘Efficient Approximation Concepts Using Second Order Information’, Pro-ceedings of AIAA/ASME/ASCE 29 th Structures, Structral Dynamics, and Materials Con-ference, Williamsburg, Va. April, 1988., pp. 1685–1695.

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Author information

Authors and Affiliations

  1. Mechanical, Aerospace and Nuclear Engineering Department, University of California at Los Angeles, Los Angeles, California, 90024, USA

    C. Fleury & H. Smaoui

Authors
  1. C. Fleury
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  2. H. Smaoui
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Editor information

Editors and Affiliations

  1. Institute of Mechanics and Control Engineering, University of Siegen, 5900, Siegen, Germany

    Hans A. Eschenauer

  2. Dept. of Civil Engineering, University of Essen, 4300, Essen, Germany

    Georg Thierauf

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© 1989 Springer-Verlag Berlin, Heidelberg

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Fleury, C., Smaoui, H. (1989). Convex Approximation Strategies in Structural Optimization. In: Eschenauer, H.A., Thierauf, G. (eds) Discretization Methods and Structural Optimization — Procedures and Applications. Lecture Notes in Engineering, vol 42. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83707-4_16

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  • DOI: https://doi.org/10.1007/978-3-642-83707-4_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50784-0

  • Online ISBN: 978-3-642-83707-4

  • eBook Packages: Springer Book Archive

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