TY - JOUR
T1 - Minimization of the expected compliance as an alternative approach to multiload truss optimization
AU - Alvarez, F.
AU - Carrasco, M.
PY - 2005/6/1
Y1 - 2005/6/1
N2 - 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.
AB - 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.
KW - Expected compliance
KW - Multiload compliance minimization
KW - Stochastic loading
KW - Structural mechanics
KW - Topology optimization
KW - Expected compliance
KW - Multiload compliance minimization
KW - Stochastic loading
KW - Structural mechanics
KW - Topology optimization
UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=21144446028&origin=inward
UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=21144446028&origin=inward
U2 - 10.1007/s00158-004-0488-7
DO - 10.1007/s00158-004-0488-7
M3 - Article
VL - 29
SP - 470
EP - 476
JO - Structural and Multidisciplinary Optimization
JF - Structural and Multidisciplinary Optimization
SN - 1615-147X
IS - 6
ER -