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A Variance-Expected Compliance Model for Structural Optimization

Author

Listed:
  • Miguel Carrasco

    (Universidad de los Andes)

  • Benjamin Ivorra

    (Universidad Complutense de Madrid)

  • Angel Manuel Ramos

    (Universidad Complutense de Madrid)

Abstract

The goal of this paper is to find robust structures for a given main load and its perturbations. In the first part, we show the mathematical formulation of an original variance-expected compliance model used for structural optimization. In the second part, we study the interest of this model on two 3D benchmark test cases and compare the obtained results with those given by an expected compliance model.

Suggested Citation

  • Miguel Carrasco & Benjamin Ivorra & Angel Manuel Ramos, 2012. "A Variance-Expected Compliance Model for Structural Optimization," Journal of Optimization Theory and Applications, Springer, vol. 152(1), pages 136-151, January.
    • Handle: RePEc:spr:joptap:v:152:y:2012:i:1:d:10.1007_s10957-011-9874-7
    DOI: 10.1007/s10957-011-9874-7
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    References listed on IDEAS

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    1. B. Ivorra & A. M. Ramos & B. Mohammadi, 2007. "Semideterministic Global Optimization Method: Application to a Control Problem of the Burgers Equation," Journal of Optimization Theory and Applications, Springer, vol. 135(3), pages 549-561, December.
    2. Bai, Y.Q. & de Klerk, E. & Pasechnik, D.V. & Sotirov, R., 2007. "Exploiting Group Symmetry in Truss Topology Optimization," Discussion Paper 2007-17, Tilburg University, Center for Economic Research.
    3. W. Achtziger, 1998. "Multiple-Load Truss Topology and Sizing Optimization: Some Properties of Minimax Compliance," Journal of Optimization Theory and Applications, Springer, vol. 98(2), pages 255-280, August.
    4. Bijan Mohammadi & Benjamin Ivorra, 2009. "Optimization strategies in credit portfolio management," Post-Print hal-00385730, HAL.
    5. Philippe Artzner & Freddy Delbaen & Jean‐Marc Eber & David Heath, 1999. "Coherent Measures of Risk," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 203-228, July.
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    Cited by:

    1. Ivorra, Benjamin & Mohammadi, Bijan & Manuel Ramos, Angel, 2015. "A multi-layer line search method to improve the initialization of optimization algorithms," European Journal of Operational Research, Elsevier, vol. 247(3), pages 711-720.

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