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中文摘要：
自由曲面单层空间网格结构作为一种新型结构形式,以其流畅自然的线条、灵活多样的结构形态,广泛应用于各类大型公共建筑中。自由曲面结构通过结构应变能为优化目标,节点坐标为优化变量进行曲面形状优化,以达到较好的静力性能,但优化后曲面的抗震性能,目前还缺乏了解。以自由曲面单层三角形网格结构为例进行结构形态优化研究,通过时程分析法研究优化后自由曲面网格结构在罕遇地震作用下的动力响应,总结其抗震性能。研究结果表明：经过形态优化后网格结构的静力性能得到很大提高;罕遇地震作用下,优化后网格结构最大位移出现位置由中部靠下部位转移到中部靠上部位,且3个方向的最大位移数值均小于优化前的网格结构;网格结构最大等效应力和最大轴向压应力都有一定幅度下降,网格优化和光顺化主要影响的是地震作用下结构的竖向位移,且优化后在El Centro地震波作用下结构最大竖向位移减少近25%,表明形态优化有效提高了自由曲面单层空间网格结构在罕遇地震下的抗震性能。
英文摘要：
As a new form of structure,single layer free-form grid shell has been widely used in the construction of large public buildings due to several advantages,such as streamlined appearance,flexible and diverse structural forms.The freeform grid shell achieved a better static performance through shape optimization,where the structural strain energy was taken as optimize objective and joint coordinates were chosen as optimization variables.However,its seismic performances after optimization were still lack of understanding.Therefore,the shape optimization of a single layer triangle grid shell was carried out.Moreover,the dynamic responses under rare earthquake excitation were analyzed and discussed by using timehistory analysis method.The results showed that the mechanic performances of the grid structure were greatly improved after the shape optimization.Meanwhile,under the excitation of rare earthquake,the maximum displacement of the grid structure were decreased and shifted from the middle lower part to the middle upper part after optimization,while the maximum equivalent stress and axial compressive stress of the grid decreased.The maximum vertical displacement of the optimized structure was reduced by nearly 25% under the El Centro wave due to the grid optimization and smoothing.The results showed that the shape optimization could effectively improve the seismic performances of the single layer free-form grid shell under rare earthquake.
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