基于随机缺陷理论的大跨度预应力弦支穹顶结构非线性整体稳定分析
Integral Stability Analysis of Large-span Prestressed Suspend-dome Based on Defect Probabilistic Theory
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摘要: 基于初始几何缺陷随机分布特点,提出了弦支穹顶结构整体稳定分析的初始缺陷概率法,得到初始几何缺陷最大值和分布形式的合理取值.该方法全面考虑了节点施工定位偏差、杆件初偏心与初弯曲对弦支穹顶结构非线性整体稳定性的影响,其计算稳定性比传统特征值屈曲模态法的低30%左右.通过灵敏度分析,得到缺陷大小及分布对体系整体稳定的影响规律.研究表明:初始缺陷概率法能充分揭示初始几何缺陷对弦支穹顶结构整体稳定性的影响规律,初始几何缺陷的分布和大小更符合实际,并且偏于安全,得到的整体稳定系数具有一定可靠性.该法在2008年奥运会羽毛球馆弦支穹顶结构整体稳定分析中得到有效应用,模型试验验证了该方法的正确性.Abstract: Based on the characteristic of random distribution of initial deviation,an initial defect probabilistic method is proposed in the paper,which is suitable for the integral stability analysis of suspend-dome structure.The reasonable value and distribution type of initial geometrical defect are obtained.The influence on the nonlinear integral stability of suspend-dome because of the position deviation of joint and the initial eccentricity of members by construction is considered.The integral stability parameters are lower than those of eigenvalue method by 30%.The influence regularity of the value and distribution type of defects on integral stability is obtained through sensitivity analysis.This indicates that the initial defect probabilistic method can fully disclose the impact regularity of initial defects on the integral stability of suspend-dome structure,the distribution and value of initial defects are more reasonable,and integral stability coefficient is inclined to be safe.The integral stability coefficient is more reliable.The probabilistic method has been successfully used in the integral stability analysis of suspend-dome of the badminton gymnasium for 2008 Olympic Games,which verifies the applicability of this method through model test.