样本重复使用失效响应曲线分析结构可靠度方法

Sample points reused failure response curve method for structural reliability analysis

用基于样本重复使用失效响应曲线逼近法,为充分利用迭代过程中的样本点,提出了样本重复使用的思想,并由此发展出一种结构可靠度的计算方法.利用可靠度指标作为收敛条件,从迭代收敛后的所有样本点中选取靠近失效界线处的样本点构造失效曲线响应函数,最后通过蒙特卡洛抽样的方法计算可靠度.多个算例表明:该响应函数避免了对传统意义上的功能函数响应面的模拟,降低了模型维数,又由于适当地引入了带交叉项、具有曲线旋转功能的响应函数,因此能够很好地逼近失效曲线,有效地提高可靠度计算精度.

Based on the failure response curve method, and in order to fully utilize sam ple pionts in the iterative process, a sample points reused failure response curve （SPRFRC） method for a sample points reused failure response curve （SPRFRC） method for structural reliability analysis was developed, which regarded structural reliability index as convergence condition, selected sample points near the failure boundary from all sample points after con vergence, then constructed failure curve response function and finally calculated the struc tural reliability by the Monte Carlo sampling method. Some examples show that the re sponse function avoids simulation of performance function response surface, reduces the model dimension; and with introduction of the crossterm response function with rotation functionality, the function enable to approximate the failure curve, and effectively improve the reliability calculation accuracy.