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.