摘要
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。
An improved one-dimensional optimization algorithm was proposed in order to reduce the workload for calculating the non-probabilistic reliability index.After an interval variable is transformed into a normalized one,the limit state equation referred to as the failure surface is obtained.The monotonicity of the objective function has been simply determined by narrowing the scope of interval variables in normalized infinite space.Moreover,the calculation steps of the improved semi-analytic approach were presented to display the solving procedure of the non-probabilistic reliability index.Non-probabilistic reliability evaluation about bridge in service was discussed.The effectiveness and practicality of the improved one-dimensional optimization algorithm has been proved to be suitable for solving non-probabilistic reliability index of bridge in service.
出处
《工程力学》
EI
CSCD
北大核心
2011年第5期21-25,30,共6页
Engineering Mechanics
基金
国家自然科学基金项目(10972084)
中央高校基本科研业务费专项资金(2010MS012)
关键词
在役桥梁
改进一维优化算法
非概率可靠性指标
区间变量
单调性
bridge in service
improved one-dimensional optimization algorithm
non-probabilistic reliability index
interval variable
monotonicity
