减震结构采用Lyapunov方程的阻尼器优化配置方法

Based on Lyapunov equation, the damper optimization arrangement of the seismic structure is realized, and the method is applied to the shock-absorbing optimization design with eccentric structures. The position parameters and mechanical parameters of dampers are introduced into the structure's equations of motion. Lyapunov is used to solve the random seismic response to the damping structures of state space. Then the additional damping is redesigned according to the fully stressed design algorithm. Fully stress of displacement on each story is reached iteratively for minimizing the maximum mean squared drift of each story. The optimal distribution of damping is solved by the above approach taking two examples: a 6-story shears frame and a 3-story eccentric frame. The results are compared with the method of minimizing transfer function to confirm the feasibility and effectiveness. The research provides a solution to the optimal distribution of dampers, which is beneficial to the engineering application and promotion of aseismic structures.