Nair, Prasnath B. and Keane, Andrew J.
Passive vibration suppression of flexible space structures via optimal geometric redesign.
AIAA Journal, 39, (7), .
Acomputationalframework is presented for the design of large flexible space structures with nonperiodicgeometries to achieve passive vibration suppression. The present system combines an approximationmodel management framework (AMMF) developed for evolutionary optimization algorithms (EAs) with reduced basis approximate dynamic reanalysis techniques. A coevolutionary genetic search strategy is employed to ensure that design changes
during the optimization iterations lead to low-rank perturbations of the structural system matrices, for which thereduced basis methods give high-quality approximations. The k-means algorithm is employed for cluster analysis
of the population of designs to determine design points at which exact analysis should be carried out. The fitness of
the designs in an EA generation is then approximated using reduced basis models constructed around the points
where exact analysis is carried out. Results are presented for the optimal design of a two-dimensional cantilevered
space structure to achieve passive vibration suppression. It is shown that significant vibration isolation of the order
of 50 dB over a 100-Hz bandwidth can be achieved. Further, it is demonstrated that the AMMF can potentially
arrive at a better design compared to conventional approaches when a constraint is imposed on the computational
budget available for optimization.
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