摘要
在优化问题中,对于高度非线性的目标函数,遗传算法能够有效求出极值点。根据遗传算法原理和可靠度指标的几何涵义,提出了计算可靠度指标全局优化算法。采用无量纲随机变量的极限状态方程,结合混凝土管桩试桩资料进行了统计学分析和可靠度分析。采用了JC法和遗传算法两种方法进行可靠度指标的计算。在求解过程中,对于功能函数的复杂性,遗传算法仅需要目标函数的函数值而避免了JC法中繁复的求导数工作,计算表明了提出的方法进行可靠度分析的有效性。
Genetic algorithm can search the extreme point of the complex objective function more effectively in contrast to tradition optimiza-tion algorithm.Based on the Genetic algorithm and geometric implication of the reliability index,a global optimal method is put forward to calcu-late the reliability index.Based on the static test data of bored piles,a statistics analysis and a reliability analysis of the bearing capacity of single PC pile are made by utilizing the limit state equation of dimensionless random variables.The index of reliability of the single PC pile is calculated with both IA method and JC method.By Genetic algorithm,if only the objective function value is used,reliability of the nonlinear and complex performance function can be obtained without derivation,but in JC method,complicated derivation is inevitable.The practical example shows that the method presented in this paper is reliable and accurate in the reliability analysis.
出处
《混凝土》
CAS
CSCD
北大核心
2010年第4期121-123,共3页
Concrete
关键词
遗传算法
可靠度
混凝土管桩
极限承载力
genetic algorithm（GA）
reliability
PC pile
ultimate bearing capacity
