Salvatore Maraniello, Rafael Palacios

DOI Number: N/A

Conference number: IFASD-2015-010

A numerical investigation on open-loop control and combined structural and control design (co-design) of very flexible beams is presented. The objective is to allow for an efficient design of these systems by identifying design strategies that provide significant performance advantages with respect to conventional sequential design methods. The control vector parametrisation method, implemented for both a B-splines (local) and discrete sines (global) set of basis functions, is used in conjunction with a gradient based optimiser to solve first the open-loop control and then the co-design problems. Numerical results show the impact of the time-frequency resolution of the parametrisation on the outcome of the optimisation. Overall, B-splines can achieve higher performance as they better exploit the flexible, high frequency driven, behaviour of the structure, particularly as large deformations lead to changes in the natural frequencies of the system. The discrete sines based parametrisation, on the other hand, is found to be a more robust choice. The mutual influence between control and structural dynamics during the design process is showed and used to explain the ability of the optimiser to approach a global optimum. In particular, it was found that control and structural disciplines can freeze the design around specific characteristic frequencies (locking), limiting the advantages of a co-design approach based on gradient methods.

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