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In engineering problems, the randomness and uncertainties
are inherent and the scatter of structural
parameters from their
nominal ideal values is unavoidable. In Reliability Based Design
Optimization (RBDO) and Robust Design Optimization (RDO) the
uncertainties play a dominant role in the formulation of the
structural optimization problem. In an RBDO problem additional non
deterministic constraint functions are considered while an RDO
formulation leads to designs with a state of robustness, so that
their performance is the least sensitive to the variability of the
uncertain variables. In the first part of this study a metamodel
assisted RBDO methodology is examined for large scale structural
systems. In the second part an RDO structural problem is
considered. The task of robust design optimization of structures
is formulated as a multi-criteria optimization problem, in which
the design variables of the optimization problem, together with
other design parameters such as the modulus of elasticity and the
yield stress are considered as random variables with a mean value
equal to their nominal value. |
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