为了研究初始几何缺陷和材料非线性对弦支穹顶稳定性分析的影响,以江苏文化城体育馆类椭圆形弦支穹顶为算例,进行了模态分析.然后,对弦支穹顶与单层网壳进行了稳定性能对比研究,包括线性屈曲、几何非线性屈曲、考虑初始几何缺陷的几何非线性屈曲以及同时考虑几何-材料非线性的双非线性屈曲.结果表明,索杆系增加了弦支穹顶的整体性,降低了单层网壳对初始几何缺陷的敏感性,但对结构刚度、自振频率、线性屈曲荷载、无初始缺陷的非线性屈曲荷载等影响不大.当考虑初始几何缺陷和材料非线性时,2种结构的极限稳定承载能力均大幅下降,表明低矢跨比弦支穹顶对初始几何缺陷和材料非线性较为敏感.此外,活载分布模式对结构失稳模态影响较大,满跨活载并不一定是最不利的活载分布模式.
To investigate the effects of initial geometric imperfection and material nonlinearity on the stability analysis of the suspen-dome, the steel roof of Jiangsu Culture Sports Center Gymnasium was utilized as a numerical model, and modal analyses were performed. Then, linear buckling analysis,geometric nonlinear stability analysis, geometric nonlinear stability analysis with initial imperfection, and double nonlinear analysis considering material nonlinearity and geometric nonlinearity were discussed in detail to compare the stability performance of the ellipse-like suspen-dome and the single-layer reticulated shell. The results showthat the cable-strut system increases the integrity of the suspen-dome, and moderates the sensibility of the single-layer reticulated shell to initial geometric imperfection. However, it has little influence on integral rigidity, fundamental vibration frequencies, linear ultimate live loads, and geometric nonlinear ultimate live loads without initial imperfection. When considering the material nonlinearity and initial imperfection, a significant reduction occurs in the ultimate stability capacities of these two structures. In this case, the suspen-dome with a lowrise-span ratio is sensitive to the initial imperfection and material nonlinearity. In addition, the distribution pattern of live loads significantly influences the instability modes of the structure, and the uniform live load with full span is not always the most dangerous case.