高层建筑风振控制的复模态随机反应分析

COMPLEX-MODE STOCHASTIC RESPONSE ANALYSIS FOR THE CONTROLLED TALL BUILDING UNDER WIND-LOADING

本文探讨受斜拉弹簧阻尼器模型装置(CTSD)控制的高层建筑结构在顺风向脉动风激励下的随机风振反应问题.文中将高层建筑和CTSD控制机构作为一个整体的耦合体系.同时考虑体系阻尼的非正交性,建立了一种以复模态组合为基础的新的随机反应分析方法——复模态状态空间法;导得了受控体系状态反应以及结构各层反应统计解的统一表达式.通过对框架型高层建筑的实例计算以及与非耦合实振型反应结果的比较表明,该方法是很有理论和实用价值的.

In this paper, along-fluctuating wind dynamic responses of tall building system under the control of Cross-Tensioned Spring Damper model mechanism(CTSD) are studied.Considering the tall building and its added CTSD as an integral coupling system as well as a nonorthogonally damped system, the paper develops a new stochastic response analysis method--Complex-Mode State Space Method based on the combination of complex-valued modes, and derives the unified expressions for statistical state response and layer response solutions of the building. The calculation for a tall frame building and its results in contrast with those of non coupling real-mode responses are presented, which shows that the method proposed has its theoretical and applied values.