采用最大熵法、可靠性设计理论和工程概率设计技术研究了随机参数服从任意分布的可靠性设计问题。在对随机变量统计的基础上,运用信息熵的概念和最大熵原理,建立了随机变量的概率密度函数和结构失效概率模型,给出了零部件可靠性状态函数的前四阶矩值,采用最大熵法得出最少带有人为偏倚因素的概率密度函数的估计函数,进而获得车辆零部件的可靠度,并与蒙特卡罗方法和四阶矩方法的计算结果进行比较,获得了一致的设计结果。为车辆零部件的可靠性设计提供了理论参考。
A reliability analysis with arbitrary distribution parameters is performed based on the maximum entropy method,the reliability design theory and probabilistic engineering design.Based on the statistical data of random parameters ,the probability density function of the random parameters and the failure probabilistic model of the structure are established according to the concept of the information entropy and maximum entropy principle.The first four moments of the limit state functions are used to estimate the corresponding probability density functions with the least bias ,which can be further used to obtain the reliability of the automobile components.The results obtained by proposed method are compared with that by Monte Carol simulation,which shows that the results match each other very well.The contribution could be a theory reference to the reliability design of automobile components.