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.
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Acknowledgements The authors want to thank Felipe Alvarez from “Universidad de Chile” for his valuable help. This work was carried out thanks to the financial support of the CMM; the Spanish “Ministry of Education and Science” under project MTM2008-04621/MTM; the research group MOMAT (Ref. 910480) supported by “Banco Santander” and “Universidad Complutense de Madrid”; the “Comunidad de Madrid” under project S2009/PPQ-1551; and the “FONDECYT” under grant 11090328.
- Stochastic programming
- Structural optimization
- Truss modeling
- Variance-expected compliance model