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针对目前索穹顶结构研究中没有考虑荷载的随机性和结构本身的随机性的问题,采用基于正交设计响应面的Monte Carlo法对刚性索穹顶结构进行了双随机下的可靠性灵敏度分析.以一个跨度为60m,承受轴对称均布荷载作用的肋环型刚性索穹顶结构为例进行分析,得到了结构功能函数的响应面,进而采用Monte Carlo方法得到结构的失效概率以及各随机变量对于结构失效的灵敏度矩阵.结果表明,刚性索穹顶结构的失效概率较小,且应力控制的失效概率小于位移控制的失效概率,最外圈斜索的预应力水平、荷载、刚性杆件截面积对于结构失效较为敏感.在此基础上,与相应索穹顶结构比较,两种索穹顶结构的失效主要都是位移控制,且在位移控制下,最外圈斜索的预应力水平对于刚性索穹顶结构失效的敏感程度要比整体预应力水平对于相应索穹顶结构失效的敏感程度低,刚性索穹顶结构较相应索穹顶结构更为可靠.
In view of the fact that the randomness of the load and the randomness of the structure itself are not considered in the study of the cable dome structure, the Monte Carlo method based on the orthogonal design response surface is used to analyze the reliability of the rigid cable dome structure under dual random reliability. An example of a rib-ring rigid cable dome with a span of 60m and axial uniform load distribution is taken as an example. The response surface of the structural function function is obtained. Then the failure probability of the structure is obtained by using Monte Carlo method. Failure sensitivity matrix.The results show that the failure probability of rigid cable dome structure is small and the failure probability of stress control is less than the failure probability of displacement control.The prestress level, And the failure is more sensitive.On this basis, compared with the corresponding cable dome structure, the failure of the two cable dome structures is mainly displacement control, and under the displacement control, the prestress level of the most outer ring cable is invalid for the rigid cable dome structure Is less sensitive than the overall prestress level to the failure of the corresponding cable dome structure. The stiffness of the dome The roof structure is more reliable than the corresponding cable dome structure.