高层建筑风振控制ATMD的完整反馈方法

Wind Induced Vibration Control of Tall Buildings Using ATMD with Complete Feedback

本文对以最小化顶层位移方差为设计目标，在频域内进行增益优化的两种ＡＴＭＤ完整反馈设计方法进行了对比分析。针对受Ｄａｖｅｎｐｏｒｔ谱风激励作用的ＳＤＯＦ结构情形，对一超高层建筑进行数值分析以量化和评价控制性能。分析表明，完整反馈控制Ⅱ总体性能优于完整反馈控制Ⅰ，所设计的ＡＴＭＤ能更有效地抑制高层建筑的风振响应。此外，完整反馈控制Ⅱ具有明确的物理意义和灵活的形式，便于针对不同的激励和响应状况设计变增益控制，提高控制效率及满足控制力和行程的实际限制。

Two design methods using complete feedback of ATMD (active tuned mass damper) for wind induced vibration control of tall buildings are compared and analyzed. The design objective of both complete feedback methods is to minimize the variance of the rooftop displacement, and their parameter optimizations are conducted in the frequency domain. A super tall buildings is studied to quantify and assess the control effectiveness of both complete feedback control methods by assuming that the building motions are modeled by its first modal response, and the generalized wind force is Gaussian stochastic process with Davenport spectrum. Through the numerical analyses, the complete feedback Ⅱ was shown to be more effective in reducing the wind excited response of high buildings than the complete feedback Ⅰ. Furthermore, the complete feedback Ⅱ has explicit physical meaning and flexible form, can be adapted as variable gain feedback control to consider the practical problems in active control, such as stroke and control force limits.