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为分析随机变量分布参数的主观不确定性对结构系统安全性能的贡献,建立了分布参数主观不确定性对结构系统功能函数和可靠度指标基于方差的重要性测度模型.通过对功能函数的各阶矩进行一阶泰勒展开,将局部参数灵敏度的计算和重要性测度的计算联系起来,并利用功能函数的各阶矩来近似结构系统的可靠度指标,从而建立主观不确定性参数对功能函数和可靠度指标影响的重要性测度求解方法.通过对数值算例和工程算例的分析,对比说明了文中方法在保证计算精度的条件下具有高效性,同时计算结果也提供了减小结构系统输出响应变异性和提高结构系统可靠性的途径.
In order to analyze the contribution of the subjective uncertainty of the distribution parameters of random variables to the safety of the structural system, a measure-based importance model based on variance of the subjective uncertainty of the distribution parameters and the structural system function and reliability indices is established. The order moments are first-order Taylor expansion, and the calculation of the local parameter sensitivity and the importance measure are connected. The reliability of the structural system is approximated by the moments of the function, so as to establish the subjective uncertainty parameters to the function function And the importance measure of the influence of reliability index.Analyzing the numerical example and engineering example, the comparison shows that the method in this paper has high efficiency under the condition of ensuring the accuracy of calculation, and the calculation result also provides the method of reducing the structural system Output response variability and improve the reliability of the structural system approach.