3D wind-induced response analysis of a cable-membrane structure

Wind loading is a dominant factor for design of a cable-membrane structure. Three orthogonal turbulent components, including the longitudinal, lateral and vertical wind velocities, should be taken into account for the wind loads. In this study, a stochastic 3D coupling wind field model is derived by the spectral representation theory. The coherence functions of the three orthogonal turbulent components are considered in this model. Then the model is applied to generate the three correlated wind turbulent components. After that, formulae are proposed to transform the velocities into wind loads, and to introduce the modified wind pressure force. Finally, a wind-induced time-history response analysis is conducted for a 3D cable-membrane structure. Analytical results indicate that responses induced by the proposed wind load model are 10%-25% larger than those by the con- ventional uncorrelated model, and that the responses are not quite influenced by the modified wind pressure force. Therefore, we concluded that, in the time-history response analysis, the coherences of the three orthogonal turbulent components are necessary for a 3D cable-membrane structure, but the modified wind pressure force can be ignored.

装载的风是为电缆线膜结构的设计的一个主导的因素。包括纵、侧面、垂直的风速度，三个直角的狂暴的部件应该为风负担被考虑。在这研究，联合风地模型的随机的 3D 被谱表示理论导出。三个直角的狂暴的部件的连贯功能在这个模型被考虑。然后，模型被使用产生三相关的风狂暴的部件。在那以后，公式被建议把速度转变成风负担，并且介绍修改的风压力力量。最后，导致风的时间历史反应分析为 3D 电缆线膜结构被进行。分析结果显示建议的风负担模型导致的回答是比由常规 uncorrelated 模型的那些大的 10%∼25% ，并且回答被修改的风压力力量不够影响。因此，我们断定在时间历史反应分析，三个直角的狂暴的部件的连贯为 3D 电缆线膜结构，而是修改的风压力力量是必要的能被忽略。