摘要
针对动态运行环境下一类单一部件系统的可靠性评估,建立了在马尔可夫环境下基于退化轨迹的系统寿命分布模型,给出了模型的建立步骤和数值解的实现方法.建立的寿命分布模型是一个一维的拉普拉斯-斯蒂尔切斯变换模型,经拉普拉斯-斯蒂尔切斯变换后的寿命分布是一个矩阵指数分布,利用矩阵指数分布的性质得到了失效寿命的任意阶矩的表达式,进而得到了寿命分布的表达式,避免了复杂的推理过程.最后在算例中利用Weeks拉氏反变换方法对建立的模型实现了数值解,结果验证了本方法的有效性.
A lifetime distribution model of a class single-unit system whose cumulative damage over time is a continuous wear process and degradation path is linear is established.The external environment process is a homogeneous,continuous-time Markov chain.The failure time distribution is derived as a one-dimensional Laplace-Stieltjes transform with respect to the spatial failure threshold variable.The Laplace-Stieltjes transform of the failure time distribution is a matrix-exponential distribution,this result provides a significant advantage over previous methods for determining the moments of the lifetime distribution.An example demonstrates that accurate cumulative probability and moments values can be obtained by Weeks′ method.
出处
《华中科技大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2009年第S1期248-251,共4页
Journal of Huazhong University of Science and Technology(Natural Science Edition)
基金
国家自然科学基金重点资助项目
教育部新世纪优秀人才支持计划资助项目
