受控结构风振响应分析的广义虚拟激励法(英文)

Generalized pseudo-excitation method for wind-excited buildings with control devices

基于复模态分析和虚拟激励法,提出了用于具有密集频率和非经典阻尼受控结构风振响应分析的广义虚拟激励法。该法可以考虑任意风谱和空间相关性以及模态耦合效应,且计算效率很高。不同于SRSS法,该算法包含了全部参振模态之间和全部激励点之间的相关性,在理论上是精确解。

Modern tall buildings may possess closely-spaced natural frequencies and non-classical damping because of special architecture requirements and supplemental vibration control devices installed inside the buildings. For such buildings, the classical random-vibration-based mode superposition method, i.e. the square root of sum of squares (SRSS) rule, often can not accurately predict their wind induced responses. A generalized pseudo-excitation method is thus developed to tackle the problems in the frequency domain. The generalized pseudo-excitation method is the combination of the complex modal superposition method and the pseudo-excitation method. By using this method, all cross-correlation terms between the participant modes and between the excitations can be retained naturally, and the non-orthogonal structural damping due to discrete control devices can be handled accurately. Two example buildings are presented to demonstrate the advantages of the suggested method, in which the detailed investigation of the effectiveness of active tendons for suppressing wind-induced vibration of a tall building is also provided.