When structural optimization is performed via an iterative solution
technique, it is possible to integrate the analysis and design iterations, in an
integrated analysis and design procedure. The present work seeks to apply an
integrated analysis and design approach in reliability based optimization, when
a safety index approach is used.
Two variants of the new approach are presented. Both of them are based on
partially converged solution of the optimization procedure. The safety index
approach employed allows us to use semi-analytical formulas to calculate the
sensitivity derivatives of the safety constraints.
The new approach is applied to the design of a simple structure. Both
methods are robust to a satisfactory degree. The results are compared to those
obtained by the safety index approach without integrating the analysis and design
processes. The new methods substantially reduce the computational cost of
optimization, which indicates that integrated analysis and design has the
potential of removing a major obstacle, which is the excessive computational cost,
in applying stochastic optimization to real life structural design.
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