AEROSERVOELASTIC ANALYSIS AND ROBUST CONTROLLER SYNTHESIS by ALPER AKMEŞE

By ALPER AKMEŞE

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History of Aeroelasticity and Aeroservoelasticity In this Section, the history of the aeroelasticity and the aeroservoelasticity is presented based on the studies of Fung [1], Bisplinghoff et al. [2, 3], Garic [4, 5, 6], and Felt et al. [7] . The history of aeroelasticity is older than human history. Because, the aeroelasticity is not confined to manmade structures. Aeroelastic phenomena are also observed in biomechanics, on the wing of birds, in plants, etc. Human race must have been faced with aeroelastic problems as they improved their tools and goods, and they may have solved the problems empirically.

In addition to the nonlinearities studied in literature, it is known by experience through the studies performed in TÜBİTAK-SAGE that the backlash type nonlinearity usually exists in the missile fins. In line with the research needs of TÜBİTAK-SAGE, aeroservoelastic analysis and controller synthesis for flutter suppression of missile control surfaces are defined as the research subject of this study with the following primary objectives. 14 - Establish a method for the synthesis of various types of controllers for a CAS, considering some performance specifications and also taking the flutter suppression into account, - Investigate and apply appropriate approaches for the analysis of the aeroservoelastic system synthesized.

In the finite element method, the wing is meshed with sufficient amount of elements, such that the required minimum number of elastic modes can be represented. For the modeling of the wing, a small number of lowest modes of the structural system should be kept for the purpose of performance as well as some additional number of modes in the crossover frequency range of the system should be kept to ensure the close loop stability. For the modeling of the control surface, less number of modes can be kept since its structure is simpler than a wing structure.

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