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针对传统三分量法忽略背景和共振分量之间耦合效应的不足以及CQC法不区分背景和共振分量的特点,结合随机振动的双输入单输出系统原理,推导了考虑背景和共振分量间耦合效应的完全三分量风致响应计算方法。以一个中心开孔的大跨屋盖为例,采用完全三分量法进行了风致响应计算及参数分析。计算结果表明:传统三分量法估计的开孔屋盖的脉动风致响应比实际值低7.1%,完全三分量法可精确估计开孔屋盖风振响应,与CQC方法具有同等精度,误差小于1%;结构基频越低,完全三分量中的背景-共振耦合分量方差的绝对大小越大;结构阻尼越大,背景和共振分量之间的相关系数越大,当结构阻尼比为0.035时,背景共振相关系数可达0.15。
Aiming at the deficiency of the traditional three-component method ignoring the coupling effect between the background and the resonance component and the fact that the CQC method does not distinguish between the background and the resonance component, the coupling effect between the background and the resonance component Complete three-component wind-induced response calculation method. Taking a center-span long-span roof as an example, the wind-induced response calculation and parameter analysis are performed by the complete three-component method. The results show that the fluctuating wind response of open-roof roofs estimated by the traditional three-component method is 7.1% lower than the actual value. The full three-component method can accurately estimate the wind-induced vibration responses of open roofs with the same accuracy as CQC method with error less than 1 %; The lower the fundamental frequency of the structure, the greater the absolute value of the background-resonance coupling component variance of the complete three components; the larger the structural damping, the greater the correlation coefficient between the background and the resonance component; when the structural damping ratio is 0.035, Background resonance correlation coefficient of up to 0.15.