Abstract
The paper presents a formulation for multidisciplinary design optimization of vessels, subject to uncertain operating conditions. The formulation couples the multidisciplinary design analysis with the Bayesian approach to decision problems affected by uncertainty. In the present context, the design specifications are no longer given in terms of a single operating design point, but in terms of probability density function of the operating scenario. The optimal configuration is that which maximizes the performance expectation over the uncertain parameters variation. In this sense, the optimal solution is “robust” within the stochastic scenario assumed. Theoretical and numerical issues are addressed and numerical results in the hydroelastic optimization of a keel fin of a sailing yacht are presented.
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Notes
The symbol * is used in the present formulation to denote a specific designer choice.
The reader is warned that for instance, in many real-life problems, the Mangasarian–Fromowitz constraint qualification condition (MFCQ, e.g., Nocedal and Wright 1999) does not hold at the solution points, the latter being a critical issue for the algorithm adopted.
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This work has been supported by the US Office of Naval Research, NICOP grant no. N00014-08-1-0957, through Dr. Ki-Han Kim. A preliminary version of this manuscript was presented at the 28th Symposium on Naval Hydrodynamics, Pasadena, CA, USA, 2010.
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Diez, M., Peri, D., Fasano, G. et al. Hydroelastic optimization of a keel fin of a sailing boat: a multidisciplinary robust formulation for ship design. Struct Multidisc Optim 46, 613–625 (2012). https://doi.org/10.1007/s00158-012-0783-7
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DOI: https://doi.org/10.1007/s00158-012-0783-7