吉林大学学报(工学版) ›› 2017, Vol. 47 ›› Issue (1): 174-179.doi: 10.13229/j.cnki.jdxbgxb201701026
孟广伟, 冯昕宇, 周立明, 李锋
MENG Guang-wei, FENG Xin-yu, ZHOU Li-ming, Li Feng
摘要:
为解决工程实际中功能函数为高维非线性的可靠性分析问题,提出了基于降维算法的一种新型的直接结构可靠度的分析方法。利用降维算法,建立了新的n个一维函数模型近似替代原n维功能函数,借助于泰勒级数和统计矩理论,求解结构功能函数的前四阶矩信息,并通过Edgeworth级数拟合结构功能函数的累积分布函数,结合可靠性理论可计算得到结构的失效概率。与传统方法相比,本文方法无需积分求解功能函数的统计矩,也无需迭代搜索最可能失效点。数值算例结果表明本文方法具有较高的计算精度和较好的适应性。
中图分类号:
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