Rv. Grandhi et Lp. Wang, RELIABILITY-BASED STRUCTURAL OPTIMIZATION USING IMPROVED 2-POINT ADAPTIVE NONLINEAR APPROXIMATIONS, Finite elements in analysis and design, 29(1), 1998, pp. 35-48
The objective of this paper is to conduct reliability-based structural
optimization in a multidisciplinary environment. An efficient reliabi
lity analysis is developed by approximating the limit-state functions
using two-point adaptive nonlinear approximation. The nonlinear approx
imation is constructed by using the function values and the first-orde
r gradients at two points of the limit-state function, and its nonline
arity index is automatically changed for different problems. The reduc
tion in computational cost realized in safety index calculation and op
timization are demonstrated through two structural problems. This pape
r presents the safety index computation, analytical sensitivity analys
is of the reliability constraints and optimization using frame and tur
bine blade examples. (C) 1998 Elsevier Science B.V. All rights reserve
d.