Abstract
We show that a problem of finding the truss of minimum expected compliance under stochastic loading conditions is equivalent to the dual of a special convex minimax problem, and therefore may be efficiently solved. This equivalence makes it possible to provide classic multiload compliance minimization problems with interpretations in a probabilistic setting. In fact, we prove that minimizing the expected compliance amounts to solving a multiload-like problem associated with a particular finite set of loading scenarios, which depend on the mean and the variance of the perturbations.
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Alvarez, F., Carrasco, M. Minimization of the expected compliance as an alternative approach to multiload truss optimization. Struct Multidisc Optim 29, 470–476 (2005). https://doi.org/10.1007/s00158-004-0488-7
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DOI: https://doi.org/10.1007/s00158-004-0488-7