Robust Optimization of Thermal-Dynamic Coupling Systems Using a Kriging Model

Thermally induced vibration of theflexible appendages of large-scale space structuresmay cause adverse effects to astronautical activities. This kind of unexpected response could be controlled to an admissible level through some optimal design methods. Because uncertainties in material properties and structural dimensions are inevitable in practice, they should also be considered during the optimization process to ensure the robust performance of the resultant structure. However, traditional robust design schemes based on either a direct Monte Carlo method or a perturbation-based stochastic finite elementmethod are usually too time-consuming to accomplish this task, because highly nonlinear analysis needs to be repeatedly conducted for this transient problem during the optimization process. To solve this problem, a robust optimization scheme based on the kriging model is developed in this paper. Because of the kriging approximation, only a few thermal–dynamic coupling analyses are needed to construct a satisfactory approximation function of the structural response. Based on this function, the mean value and the standard deviation of the structural response can be obtained efficiently, which greatly facilitates the calculation of the Pareto front for this kind of robust optimal design.

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