Abstract: In order to reduce control energy needed for active vibration control of frame structures, a mixed design which combines structural design with controller design is considered. The original structures are redesigned to diminish control energy without affecting the basic performance and control effect of frame structures. Using systemic stability, controllability and other factors as restrictive conditions, a random structural dimension and material constant are chosen to acquire control energy through system reduction and controller design. And an improved genetic algorithm is used to search for optimal control energy. Finally, a numerical example is provided to show the effectiveness of the method.

Key words: control energy, genetic algorithm, frame structures, controllability