摘要
针对随机结构在非平稳随机激励下的动力可靠性分析问题,提出了基于点估计法的随机结构动力可靠性分析方法.所提方法从随机结构的无条件动力可靠度公式出发,利用求解随机变量函数矩的点估计方法,导出随机结构无条件动力可靠度均值和方差的计算表达式.由于基于随机变量函数矩的点估计法具有较高的效率和精度,因而所提方法具有一定的工程意义.算例验证了该方法的可行性和合理性.
For dynamic reliability analysis of stochastic structures under non-stationary random excitation, a new dynamic reliability assessment method is presented based on the point estimation. From the expressions of unconditional reliability, the expressions of the mean value and variance of unconditional reliability are educed from the point estimation of the function moment of basic random variables. Due to the efficiency and precision of the point estimate of the function moment of basic random variables, the presented method is valuable for engineering. An example demonstrates the feasibility and rationality of the presented method.
出处
《固体力学学报》
CAS
CSCD
北大核心
2008年第1期36-40,共5页
Chinese Journal of Solid Mechanics
基金
国家自然科学基金(NSFC10572117)
新世纪优秀人才支持计划(NCET-05-0868)
航空基础基金(2007ZA53012)资助
关键词
随机结构
非平稳随机激励
动力可靠性
点估计
stochastic structure, non-stationary random excitation, dynamic reliability,point estimate method