An Optimal Vibration Control and Damping Devices Design for Three Dimensional Building Structures

A new method on vibration control and optimal design for three-dimensional building structures is presented in this paper. Firstly, the mathematical model of a typical three-dimensional shear-type structure is established which considering the damping devices installed in the structure. Then, the optimal design of damping devices is investigated in two cases, i.e. limit damping coefficient and no limit damping coefficient. The optimal parameters of the damping devices can be obtained by using the simplex optimization method and the complex optimization method respectively in the energy index of the three-dimensional structure. The optimal number and placement of damping devices can also be obtained according to the performance index of control devices. Numerical results show that the optimal design method proposed in this paper is effective and flexible. It may obviously reduce the responses of building structures.