高层建筑MTMD风振控制优化研究

首先导出零均值平稳白噪声激励下，高层建筑的多个调谐质量阻尼器（MTMD）控制的有效性指标－动力放大系数的计算公式，然后在总质量一定的情况下，分析了高层建筑MTMD控制系统的参数对放大系数的共同影响，并采用最大最小化原则，计算MTMD系统的最优参数。探讨了初步的设计方法，提出了MTMD系统优化的设计步骤和控制等一振型时的设计表格，最后给出一个算例。

On Optimizing MTMD for Suppressing Vibration of Tall Buildings Subjected to Wind Loading

There has been much optimizing research on MTMD (multiple tuned mass dampers) but, to our best knowledge, no paper in the open literature deals with optimizing MTMD for suppressing vibration of tall buildings subjected to wind loading. We assume the wind loading to be of the simple white-noise type. Sections 1 and 2 derive eq. (8) as the expression for DMF (dynamic magnification factor) of the tall building under MTMD control. DMF is the control effectiveness index for suppressing vibration of tall building subjected to white-noise wind loading. Section 3 gives Figs.1 through 5, which were drawn after calculating with eq. (8) on the assumption that the mass of MTMD was the usual 1% of the tall building. Studying Figs.1 through 5 carefully, we obtained the optimum parameters as listed in Table 1. Section 4 explains the eight steps of our design procedure. Section 5 gives a numeral example whose calculated results are listed in Table 2.