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Coupled wind-induced responses and equivalent static wind loads on long-span roof structures with the consistent load-response-correlation method

机译:采用一致的荷载-响应-相关方法将大跨度屋顶结构上的风感应响应和等效静风荷载耦合

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Long-span roof structures with multiple vibration modes may undergo coupled motions when exposed to spatiotemporally varying dynamic wind loads. This article presents a framework for the analysis of coupled wind-induced responses and equivalent static wind loads on long-span roof structures. This framework takes into account the inter-modal coupling of modal response components and cross correlation between the background and resonance. The load-response-correlation method is widely used for the background equivalent static wind loads of rigid structures. Also, the concept of load-response-correlation was extended for the correct estimation of equivalent static wind loads by considering the correlation between the load and exact total responses. However, there is no detailed study for the correct estimation of equivalent static wind loads on the component of background, resonance, and their cross response using load-response-correlation method. In this article, a consistent load-response-correlation method for equivalent static wind loads is presented in a unified framework which contains the background, resonance, and modal coupling. First, the accuracy of wind-induced responses is ensured by considering the modal coupling. Meanwhile, the efficiency is improved by decomposing the covariance matrix of the generalized resuming forces. Second, several effects of the wind-induced responses are discussed in detail, such as the effect of the modal coupling, the effect of the modal participations to resonant responses, and the effect of the cross correlation between the background and resonance. Finally, the proposed equivalent static wind loads are represented by the composition of the external wind loads and inertial forces, which are both the most probable load distributions. Accordingly, the equivalent static wind load distribution and the responses by equivalent static wind loads are reasonable.
机译:当暴露于时空变化的动态风荷载时,具有多种振动模式的大跨度屋顶结构可能会经历耦合运动。本文提出了一个框架,用于分析大跨度屋顶结构上的耦合风感应响应和等效静风荷载。该框架考虑了模态响应分量的模态间耦合以及背景与共振之间的互相关。荷载-响应相关法被广泛用于刚性结构的背景等效静风荷载。此外,通过考虑载荷与精确总响应之间的相关性,扩展了载荷响应相关性的概念,以正确估计等效静风载荷。但是,目前还没有详细的研究使用负荷-响应-相关方法来正确估计背景,共振及其交叉响应分量上的等效静风载荷。在本文中,在一个统一的框架中提出了一种等效的静风载荷的一致载荷-响应-相关方法,该方法包含背景,共振和模态耦合。首先,通过考虑模态耦合来确保风致响应的准确性。同时,通过分解广义恢复力的协方差矩阵来提高效率。其次,详细讨论了风致响应的几种影响,例如模态耦合的影响,模态参与对共振响应的影响以及背景与共振之间的互相关的影响。最后,建议的等效静态风荷载由外部风荷载和惯性力的组合表示,这两个都是最可能的荷载分布。因此,等效静风载荷分布和等效静风载荷的响应是合理的。

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