中文摘要：

平淡的可靠性索引方法，首先订第二时刻(FOSM ) ，当表演功能是强烈非线性的时，不能保证重复的集中。一个修改方法被建议基于最大的熵(MaxEnt ) 计算可靠性索引原则。达到这个目标，第二个时刻(FOSM ) 方法被熵的计算代替的第一份订单的复杂重复密度功能。当计算可靠性索引时，重复方法利用了计算熵密度功能的牛顿的本地集中被证明，它保证了重复的集中。支持计算效率，牛顿下坡的算法被合并到精明的熵密度功能，蒙特卡罗模拟(MCS ) 被执行估计介绍方法的效率。二个数字例子被举验证介绍方法的确认。而且，介绍方法的实行和优点被解释。从例子 1，在七次次重复以后，建议方法能够当性能函数是强烈非线性的，同时，建议方法能保存计算精确性时，计算可靠性索引；从例子 2 ，用建议方法， FOSM 和 MCS 计算的可靠性索引是 3.823 9 ， 3.813 0 和 3.827 6 ，分别地并且重复时间是 5 ， 36 和 10 <啜class=“ a-plus-plus ”>证明没有为可靠性索引能是的表演功能增加计算费用，介绍方法能改进计算精确性的 6 ,计算了首先第二使用顺序时刻( FOSM )方法。

英文摘要：

Routine reliability index method, first order second moment （FOSM）, may not ensure convergence of iteration when the performance function is strongly nonlinear. A modified method was proposed to calculate reliability index based on maximum entropy （MaxEnt） principle. To achieve this goal, the complicated iteration of first order second moment （FOSM） method was replaced by the calculation of entropy density function. Local convergence of Newton iteration method utilized to calculate entropy density function was proved, which ensured the convergence of iteration when calculating reliability index. To promote calculation efficiency, Newton down-hill algorithm was incorporated into calculating entropy density function and Monte Carlo simulations （MCS） were performed to assess the efficiency of the presented method. Two numerical examples were presented to verify the validation of the presented method. Moreover, the execution and advantages of the presented method were explained. From Example 1, after seven times iteration, the proposed method is capable of calculating the reliability index when the performance function is strongly nonlinear and at the same time the proposed method can preserve the calculation accuracy; From Example 2, the reliability indices calculated using the proposed method, FOSM and MCS are 3.823 9, 3.813 0 and 3.827 6, respectively, and the according iteration times are 5, 36 and 106, which shows that the presented method can improve calculation accuracy without increasing computational cost for the performance function of which the reliability index can be calculated using first order second moment （FOSM） method.