考虑节点几何位置偏差的既有网壳结构稳定计算方法

基于概率和数理统计理论,提出了一种通过分析已抽检节点实测几何位置信息并采用截断高斯分布函数形成未抽检节点几何位置信息的方法.基于蒙特卡罗法,得到既有网壳结构的一组稳定系数,通过概率论方法给出了临界稳定系数的确定方法,最后提出了考虑几何位置误差的既有网壳结构整体的计算流程.以一个K6型单层网壳结构为算例,验证了该方法的可行性.

Overall Stability of Existing Reticulated Shells Considering the Effect of Geometric Position Deviation of Joints

Based on probability and mathematical statistics, a new method was proposed by analyzing the information of measured geometric position deviation of selected joints and by using truncated Gaussian distribution model to simulate the distribution of the geometric position of unmeasured joints.With the Monte-Carlo method, a group of stability factors was obtained, and the critical stability factor was determined with the probability theory.Furthermore, the critical stability factor calculation flow chart of existing reticulated shells was given.By taking a Kiewit single layer reticulated shell as an example, the feasibility of this method was verified.