RIBEIRO, H. M. D.; http://lattes.cnpq.br/8457437509450799; RIBEIRO, Heitor Moura Dias.
Abstract:
When designing structures, it is crucial that safety and action conditions are met during
their useful life in order to guarantee their stability without causing damage and excessive
deformation. Offering a better structural design, considered from a function, respecting the
parameters and limitations that each element imposes, optimization has been one of the
themes that has been extensively studied in recent decades to remedy the setbacks in
structural design. This study aims to compare results of optimization of a dam and a
concrete beam from different mathematical methods, namely, DDO (Deterministic Design
Optimization) and RBDO (ReliabilityBased
Design Optimization), using Matlab software
routines. For the formulation of algorithms, routines based on gradients (fmincon) and
heuristic algorithms (particle swarm optimization PSO)
were implemented. The achieved
results demonstrate that the use of fmincon to solve RBDO problems can be ineffective,
being able to vary the value of the function according to the initial guess. The PSO, on the
other hand, obtained a reliable performance, always converging to the global optimal value
in the DDO and RBDO problems. Even so, in the RBDO analyses, there was an expected
increase in the value of the objective function in relation to the DDO analyses, in order to
guarantee the stability and safety of the building since it will be subject to a probability of
failure. Finally, with the results achieved using the PSO/RBDO method, together with
Matlab, it proved to be an efficient alternative to find the best optimization solutions, with a
simple methodology and low processing cost, contributing to obtaining measurements that
guarantee structure stability and cost reduction.
