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In reliability testing, weibull distribution is widely used to analyze the lifetime of electronic products. Weibull Probability Plot and Maximum Likelihood Estimator were often applied to estimate the weibull parameters.

可靠度试验中,韦伯分配为最常用的产品寿命分配,韦伯机率纸和最大概似估计法是韦伯分配常用的两种参数估计方法。

Using the characteristic found,the maximum likelihood estimators and the moment estimator s of parameters of the multivariate exponential distribution of Freund are obtained.

利用分布密度分拆的思想,导出了二元及多元Freund型指数分布的一个特征,利用该特征,获得了二元及多元Freund型指数分布参数的最大似然估计及矩估计,还给出了强度服从二元Fre-und型指数分布时并联结构系统的可靠度估计及模拟。

Considering the randomness of the structural physical parameters and utilizing the random variable's functional moment method and the algebra synthesis method, the mean value and the variance of the mean square value of the structural displacement response under stationary random excitation are computed firstly from the expressions of structural stationary response in frequency domain. And then the expressions of the mean value and the variance of stochastic rigid frames dynamic reliability are educed from the Poisson formula of calculating dynamic reliability.

考虑结构的物理参数具有随机性,从结构随机响应的频域表达式出发,利用求解随机变量数字特征的代数综合法和矩法,导出随机参数刚架结构在平稳随机激励下的位移及速度响应均方值的数字特征,再由动力可靠性的Poisson公式导出结构动力可靠度的计算公式。

Based on mathematic operation function of ANSYS parametric design language, reliability calculation of component was realized by programming with APDL according to the perturbation method of reliability theory.

基于ANSYS参数化设计语言的数学运算功能,运用可靠性理论的摄动分析法,利用APDL编程实现零件的可靠度计算,避免了有限元建模、分析和结果的参数化提取等步骤。

Owing to the complexity of CIMS' missions,the reliability modeling should adapt the production processes accurately.Conventional reliability model method can not reflect the time dynamic behavior of CIMS,so the multitask reliability model based on generalized stochastic Petri nets is established for a CIMS manufacturing shop with multiple missions and the process times of the machines with exponential distributions.Furthermore,analysis of GSPN model based on behavior expression and moment generating function is presented,then can compute the transfer functions.Finally,the multitask reliability can be easily obtained without the reachability graph of Petri nets,which measure can reflect the operating performance of the whole multitask CIMS more intuitively.

CIMS生产的复杂性要求其可靠性模型可以精确地反映生产过程,由于传统的可靠性建模方法无法兼顾CIMS的时间动态特性,所以针对一个复杂的有多个加工任务的CIMS制造单元,由于其机器加工工件的时间均为指数分布,则采用广义随机Petri网进行多任务可靠性建模,在此基础上基于Petri网行为表达式,将矩母函数思想引入其中,不必生成可达标识图就可通过计算模型的传递函数,进而得到整个系统的多任务可靠度,该可靠性指标可以更直观地反映具有多种加工任务的整个CIMS的运行性能。

The quality statistic is a monotonous function of a method of moments estimator of the unreliability.

质量统计是不可靠度的矩估计的严格增加函数。

Based on this, a combined method of simulation is dedicated as a basic tool for the probability analysis of Runyang bridge. The combined simulation method transfers the original complex question of probability analysis into the solution of a series of multinomial, making the efficiency improved significantly so that the precision of analysis is also increased greatly.

联合算法的应用,将大跨桥梁可靠度分析这样一个具有复杂物理意义的问题转化为一系列失效方程式的求解问题,提高了求解的效率,而求解效率的提高同时也保证了分析的精度。

The narrowcasting formula of reliable on FCT test system was calculated based on probability theory.

利用Monte-Carlo法求出每个短节的可靠度

Structural reliability/narrow bounds ; bivariate normal integral

结构可靠度/二阶界限法;二维正态分布函数

The instantaneous availability of control system of nuclear warhead exploding is obtained by using highly efficient Monte Carlo method.

用本文设计的方法评估了该系统的可靠度和瞬态可用度。

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