In order to solve the vibration problem of model support system in high-speed wind tunnel test, piezoelectric stack actuators are embedded into sting to form an integrated active vibration damping structure. The vibration characteristics of the support system during wind tunnel test and the vibration control mechanism of the active vibra-tion damping system are studied, and the coupled dynamic model of model support system structure with piezoelectric stack actuator is established. Utilizing modal controllability and modal cost theory, the quantitative description method of control ability of active vibration damping structure is given. The optimization design objective function, which can reflect the controllability of main controlled modes of the system, is then constructed. In order to improve the control ability of the active vibration damping structure for an idealized model support system, optimization design is con-ducted using genetic algorithm, with analytical dynamic equations derived and also mathematical expression of the optimization problem and the constraint conditions given. The results show that the optimization design method pro-posed in this paper can significantly improve the controllability of active vibration damping structure, on the premise of meeting the constraint requirements.
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