单层球面网壳既有设计方法可靠度校核分析

RELIABILITY CHECK ANALYSIS OF EXISTING DESIGN METHOD FOR SINGLE-LAYER SPHERICAL LATTICED DOMES

  • 摘要: 中国现行的空间结构设计方法仍然采用经验的整体安全系数,未能较好地考虑不确定性因素的影响。该文选取K8型单层球面网壳,对该结构进行整体可靠度分析。建立荷载和结构参数的概率模型,分别采用蒙特卡洛模拟和响应面法,构造结构真实的荷载与抗力极限状态方程,进而采用FORM计算其失效概率和可靠指标。同时对《空间网格结构技术规程》(JGJ 7−2010)提供的设计方法进行校准,基于规程的整体安全系数设计公式生成结构的极限状态方程,并得到其失效概率和可靠指标。分析结果表明:现有规程设计方法偏于保守,过低估计了结构的可靠性,应该基于全概率整体可靠度分析方法对现有设计方法进行修正。

     

    Abstract: The existing design method for the spatial structure in Chinese specifications fails in precisely considering the uncertainties of random variables, for taking a rough and experiential global safety factor. The uncertainty of loads and structure are not considered in the existing design method. The kiewitt8 single-layer latticed dome structures are selected for a global stability analysis. The probabilistic models of loads and structures are built, the Monte Carlo Simulation (MCS) and Response Surface Method (RSM) are both carried out for constructing the limit state equations of real loads and structural resistance, and then the failure probability and reliability index of the structure are computed based on FORM. The design method in <Technical specification for space frame structures> (JGJ 7−2010) is calibrated, the structural limit state equations are constructed based on the global safety factor design formula in the specification, and then the failure probability and indexes of reliability of structures are obtained. The analysis results show that: the design method in existing specification underestimates the structural reliability, and the design method should be revised based on full probability global reliability analysis method.

     

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