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针对以正弦半波曲线为母线旋转而成的正弦曲面单层网壳,首先对其进行静力分析,找出内力分布及变形规律;然后对其稳定性能进行参数分析,包括矢跨比、初始几何缺陷、荷载不对称分布、节点选取方式以及正弦函数幅值对网壳极限承载力的影响。研究表明:同截面下,网壳最大轴力一般发生在次外环的环向杆件上;矢跨比对网壳的稳定承载力影响显著且具有良好的规律性;当初始几何缺陷超过L/600时会改变整个网壳的受力形式,必须加以控制;结构对荷载不对称作用不敏感;采用等弦长正弦曲线网格划分方式网壳极限荷载值最大;网壳的极限承载力随正弦函数幅值增大先增大后趋于稳定。
In this paper, the sinusoidal surface single-layer reticulated shell with sinusoidal half-wave curve as the rotating bar is firstly analyzed to find the internal force distribution and deformation law. Then the parameters of stability are analyzed, including the ratio of sag-span, initial Geometric defects, asymmetric load distribution, node selection method and the influence of sinusoidal function amplitude on the ultimate bearing capacity of the caverns. The results show that under the same cross-section, the maximum axial force of reticulated shell occurs on the ring members of the secondary outer ring. The ratio of sag to span has a significant effect on the stable bearing capacity of reticulated shell. When the initial geometric defects exceed L / 600 will change the form of force of the entire shell, which must be controlled; the structure is insensitive to the asymmetric load; the limit load of the shell is the largest with the chord length sinusoidal mesh; the ultimate bearing capacity of the shell The amplitude of sine function first increases and then tends to be stable.