To solve the vibration problem of the model support system in high-speed wind tunnel tests, we embed piezoelectric stack actuators into the sting to form an integrated active vibration damping structure. The vibration characteristics of the support system during wind tunnel tests and the vibration control mechanism of the active vibration damping system are studied, and the coupled dynamic model of the model support system structure with piezoelectric stack actuators established. Utilizing the modal controllability theory and the modal cost theory, we present the quantitative description method for the control ability of the active vibration damping structure, and construct the optimization design objective function, which can reflect the controllability of the main controlled modes of the system. To improve the control ability of the active vibration damping structure for an idealized model support system, we conduct optimization design using genetic algorithm, with analytical dynamic equations derived and the mathematical expression of the optimization problem and the constraint conditions given. The results show that the optimization design method proposed in this paper can significantly improve the controllability of the active vibration damping structure on the premise of meeting the constraint requirements.
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