Design optimization of space structures with nonperiodic geometries for vibration suppression

This paper presents a computational framework for the design of large flexible space structures with non periodic geometries to achieve vibration suppression. The present system combines the use of an approximation model management framework (AMMF) developed for evolutionary optimization algorithms (EAs) with a reduced basis approximate dynamic reanalysis technique. A coevolutionary genetic search strategy is developed here to ensure that design changes during the optimization iterations lead to low-rank perturbations in the structural system matrices. 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. Results are presented for optimal design of a 2D cantilevered space structure to achieve passive vibration suppression. It is shown that vibration isolation of the order of 30 dB over a 150 Hz bandwidth can be achieved. Further, it is demonstrated that the AMMF can potentially arrive at a better design compared to a conventional approach when optimization is constrained by a limited computational budget.

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