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为了减少非概率可靠性指标的计算量,提出了改进的一维优化算法。将区间变量转换为标准化区间变量后,得到了关于失效面的极限状态方程。在扩展空间中,通过缩小区间变量的取值范围能方便的确定目标函数的单调性。进一步,为了显示求解非概率可靠性指标的计算过程,提出了非概率可靠性指标的改进一维优化算法的计算步骤。讨论了在役桥梁的非概率可靠性评估。最后,通过实例分析,论证了改进的一维优化算法的有效性和实用性,适合在役桥梁非概率可靠性指标的求解。
In order to reduce the computational complexity of non-probabilistic reliability index, an improved one-dimensional optimization algorithm is proposed. After the interval variable is transformed into the normalized interval variable, the equation of state of the limit about the failure plane is obtained. In the extended space, the monotonicity of the objective function can be conveniently determined by narrowing the range of the interval variable. Further, in order to show the process of calculating the non-probabilistic reliability index, a new one-dimensional optimization algorithm with non-probabilistic reliability index is proposed. The non-probabilistic reliability assessment of in-service bridges is discussed. Finally, the validity and practicability of the improved one-dimensional optimization algorithm are demonstrated by an example analysis, which is suitable for solving the non-probabilistic reliability index of the existing bridge.