摘要
应用最大熵理论构造了随机变量以其前四阶矩统计参数表达的概率密度函数，应用泰勒二次展开推导了结构功能函数前四阶矩的近似表达式，并用变分法给出了结构失效概率的离散化计算公式。分析结果表明，本文建议的方法具有较好的计算精度。
The probability density function of a random variable expressed with its first four moments is constructed based on the maximum entropy theory. Approximate formulae of the first four mo- ments of the structural state function are derived by expanding the structural state function into a second-order Taylor series, and the dispersed formula of the structural failure probability is given by using calculus of variations. Analytic results show that the proposed method is accurate enough.
出处
《大连理工大学学报》
EI
CAS
CSCD
北大核心
1992年第4期455-459,共5页
Journal of Dalian University of Technology
基金
国家自然科学基金资助项目
关键词
结构可靠性
随机变量
矩
structural reliability
random variables
moment
entropy(mathematics)
