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分别建立了一栋7层结构TMD被动控制与AMD最优主动控制的分析模型,并利用Matlab语言编制了求解软件。计算结果表明:主动AMD比被动TMD有更明显的减振效果,可以通过调整状态变量权重参数矩阵Q中元素、控制力权重矩阵R中元素达到目标减振效果。在AMD控制中,顶层控制力最大,当矩阵Q中对角线元素均取10、矩阵R中对角线元素取0.1时,顶层控制力幅值分别为楼面重力荷载13%,楼层地震反应惯性力的9%。第一振型的控制力远大于第二振型的控制力,各阶阻尼控制力也远大于相应的弹性控制力。主动AMD控制有较好的耗能效果。
The analytical models of TMD passive control and AMD optimal active control with 7 layers are respectively established, and the software is compiled by using Matlab language. The calculation results show that active AMD has more obvious damping effect than passive TMD, and the effect of target damping can be achieved by adjusting the element of weight parameter matrix Q and the element R in the weight matrix R of state variables. In AMD control, the top control force is the largest. When the diagonal elements in the matrix Q are all 10 and the diagonal elements in the matrix R are 0.1, the amplitude of the top control force is respectively 13% of the floor gravity load, and the seismic response of the floor 9% of inertial force. The control force of the first mode is far greater than the control force of the second mode, and the damping control force of each stage is far greater than the corresponding elastic control force. Active AMD control has better energy efficiency.