 
Summary: StrucOpt manuscript No.
(will be inserted by the editor)
Minimization of the expected compliance as an alternative
approach to multiload truss optimization
Felipe Alvarez and Miguel Carrasco
Key words Topology optimization, structural mechan
ics, multiload compliance minimization, stochastic load
ing, expected compliance.
Abstract We show that a problem of finding the truss of
minimimum expected compliance under stochastic load
ing conditions is equivalent to the dual of a special con
vex minimax problem, and therefore may be efficiently
solved. This equivalence makes it possible to provide clas
sic multiload compliance minimization problems with in
terpretations in a probabilistic setting. In fact, we prove
that minimizing the expected compliance amounts to
solving a multiload like problem associated with a par
ticular finite set of loading scenarios, which depend on
the mean and the variance of the perturbations.
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