Research on Mean Wind Load and Wind Response Characteristics of Air-Supported Membrane Structures with Rectangular Plane
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摘要: 气承式膜结构是典型的风敏感结构,在风荷载作用下膜面会产生较大变形,抗风问题是制约膜结构发展的重要因素。为了研究矩形平面气承式膜结构的风荷载特性,设计并制作了6个不同的刚性模型,利用尖劈、粗糙元和锯齿挡板对A、B、C共3类地貌进行模拟,在大气边界层风洞中进行了矩形平面气承式膜结构刚性模型测压试验,分析了风向、矢跨比、长宽比以及地面粗糙度等因素对结构表面平均风压分布的影响,并计算了结构在不同风向角下的风力系数。基于风洞试验获得的风荷载数据,在有限元软件ABAQUS中对原型尺寸的矩形平面气承式膜结构进行了风振响应分析,膜面选用M3D4R单元建模,拉索选用T3D2单元建模,研究了不同风向角下结构的平均风响应特性,总结了风荷载作用下膜面的位移及应力分布规律,确定了出现位移极值及应力极值的位置,最后提出了适用于矩形平面气承式膜结构的风荷载体型系数分区方案,并给出了不同分区的建议取值。研究表明:矩形平面气承式膜结构的平均风压系数受风向和结构长宽比的影响较大,受地面粗糙度影响较小;长宽比越小,上吸区的风压越小;随矢跨比增加,迎风区正风压系数增加,上吸区负风压减小; 0°风向角下矩形平面气承式膜结构的风力系数最大; 0°及45°风向角下,矩形平面气承式膜结构的迎风面及顶部变形较大,90°风向角下迎风面变形较大而顶部变形较小; 0°及90°风向角下,结构两侧与中部连接的凸起部位应力较大,45°风向角下迎风面拐角处出现明显褶皱并伴随应力集中; 0°风向角下位移及应力均最大,90°风向角下位移及应力均最小;建议0°和90°风向角下矩形平面气承式膜结构风荷载体型系数采用5分区形式,45°风向下采用7分区; 0°及90°风向角下结构分区风荷载体型系数受矢跨比影响明显,45°风向下结构分区风荷载体型系数受长宽比影响明显。Abstract: Inflatable membrane structures are typical wind sensitive structures, and the membrane surface will undergo significant deformation under wind load. Wind resistance is an important factor restricting the development of membrane structures. In order to study the wind load characteristics of inflatable membrane structures with rectangular plane, six different rigid models were designed and manufactured. Three types of landforms, A, B, and C, were simulated using wedges, rough elements, and serrated baffles. The pressure tests of the rigid models with rectangular plane were carried out in the atmospheric boundary layer wind tunnel, and the effects of wind direction, rise-span ratio, length-width ratio and ground roughness on the mean wind pressure distribution were analyzed, and the wind coefficient of the structure was calculated at different wind directions. Based on wind load data obtained from wind tunnel tests, wind vibration response analysis was conducted on a prototype sized inflatable membrane structure with rectangular plane by the finite element software ABAQUS. The membrane surface was modeled using M3D4R elements, and the cable was modeled using T3D2 elements. The mean wind response characteristics of the structure under different wind directions were studied, and the displacement and stress distribution patterns of the membrane surface under wind load were summarized. The locations where the displacement and stress extremes occurred were determined. Finally, a partition scheme for wind load shape coefficient applicable to inflatable membrane structures with rectangular plane was proposed, and suggested values for different partitions were given. The results show that the mean wind pressure coefficient distribution of inflatable membrane structures with rectangular plane is greatly affected by the wind direction and the length-width ratio of the structure, but less affected by the ground roughness. As the length-width ratio decreases, the wind pressure in the upper suction area decreases. As the rise-span ratio increases, the positive wind pressure coefficient in the windward region increases, and the negative wind pressure in the upper suction region decreases. The wind force coefficient of inflatable membrane structures with rectangular plane is the highest at 0° wind attack angle. The inflatable membrane structure with rectangular plane has significant deformation on the windward surface and top at 0° and 45° wind attack angle, while the deformation on the windward surface is significant at 90° wind attack angle and the deformation on the top is relatively small. At 0° and 90° wind attack angle, the stress in the protruding parts connecting the two sides and the middle of the structure is relatively high. At 45° wind attack angle, there are obvious folds and stress concentration at the corner of the windward surface. The maximum displacement and stress are observed at 0° wind attack angle, while the minimum displacement and stress are observed at 90° wind attack angle. It is recommended to use 5 zones for the wind load shape coefficient of inflatable membrane structures with rectangular plane at 0° and 90° wind attack angle, and 7 zones at 45° wind attack angle. The zoning wind load shape coefficient at 0° and 90° wind attack angle is significantly affected by the rise-span ratio, while at 45° wind attack angle it is significantly affected by the length-width ratio.
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