采用改进的一次二阶矩法对腐蚀管道的可靠性指标和失效概率进行了分析和计算。
The advanced first order and second moment iterative method are employed for calculation on reliability index and failure probability.
通过对模型中的参数进行模糊化处理，用改进一次二阶矩法计算了地下水过量开采的模糊风险率。
The parameters of the model are fuzzily processed and the fuzzy risk can be evaluated by using the modified first order second moment method.
根据提出的可靠度计算理论和方法，编制了基于一次二阶矩和JC法的可靠度计算程序。
Secondly, the procedure of tunnel lining based on First Order Second Moment(FOSM) and JC method is presented to calculate the reliability of tunnel lining.
由求解失效概率的改进一次二阶矩法出发，给出了失效概率对中间变量分布参数偏导数的计算公式；
On the basis of the advanced first order and second moment method, the partial derivatives of the failure probability to the distribution parameters of the process variables were formulated.
基于可靠度理论，本文采用一次二阶矩法(JC法)对疲劳裂纹扩展可靠性进行计算。
Based on reliability theory, the first order second moment method (JC method) is adopted to analyze and compute the fatigue reliability.
一次二阶矩方法是结构可靠度分析的基本方法．一次二阶矩方法的计算精度依赖于验算点附近功能函数的非线性程度。
The first-order second-moment method is fundamental in structural reliability analysis, its accuracy depends upon the nonlinear extent of performance functions around checking point.
通过应用高温构件蠕变损伤的随机方程及一次二阶矩理论和方法，对高温构件的概率寿命预测进行了研究。
The probabilistic life prediction of high temperature components was studied by using the stochastic equation of creep damage and simple second-order theory and method of high temperature components.
采用改进一次二阶矩法分析单个夹杂裂纹扩展的可靠性。
The reliability of the fatigue crack growth life of single inclusion is analyzed by the advanced first order and second moment method.
针对一次二阶矩法可靠度指标分析中验算点的计算问题，提出一种新的修正迭代算法。
A new iterative algorithm is presented for seeking the design point in the FOSM reliability index analysis.
一次二阶矩法是目前求解结构可靠性分析的主要计算方法之一，该方法要求功能函数对随机变量的偏导运算。
Reliability analysis using First Order Second Moment (FOSM) is important for structural probability design, in which process demands the derivative operation.
现有基本的结构可靠度计算方法可分为一次二阶矩法、蒙特卡罗法和响应面法。
The present usually reliability analysis method for engineering structures are Monte Carlo Simulate (MCS), First-order Second-moment method (FOSM) and reliability Surface method (RSM).
数理统计学原理主要包括：参数估计、统计分布类型、分布拟合检验； 工程结构可靠度理论主要介绍了一次二阶矩方法。
Such as parameter estimation types of statistics distribution tests of distribution hypothesis methods of linear-second order moment, ect.
一次二阶矩法可以方便用于功能函数为显式表达的情况，但对于可靠性要求较高的结构，其计算精度有时不能满足工程需要。
FOSM is usually used for the explicit performance function, and the accuracy of FOSM can not satisfy the engineering requirement sometimes for the structures which have higher reliability requirement.
本文的主要结论有：（1）二次二阶矩法是以一次二阶矩法为基础，并对一次二阶矩法的计算结果进行二次修正，在多数情况下有着更好的计算精度。
The main conclusions obtained in this thesis are as follow:(1) Based on FOSM, Second-order second-moment method modifies the results of FOSM, and has better calculation accuracy.
用一次二阶矩法分析结构可靠度需要反复迭代求解。
For structural reliability analysis calculation. Rackwitz and Fiessler Method has to employ iteration.
在一次二阶矩法的基础上，推导了计算模糊随机可靠度的具体公式。
Study on Fuzzy Random Reliability of Existed Civil Buildings and Appraisal Program Designing;
借鉴结构可靠度分析方法，给出了供水管网抗震功能可靠度分析的一次二阶矩方法。
The mean-value-first-order-second-moment method and advanced first-order-second-moment method are used to analyze the aseismatic serviceability of water supply network.
基于由Ditlevsen给出的广义可靠指标和一次二阶矩法，提出了一个简捷的结构可靠度计算方法。
Based on the generalized reliability index given by Ditlevsen and the first order second moment method, a simplifed calculating method on structural reliability is presented.
为此 ，用基于验算点处展开泰勒级数的哈桑———林德法计算了轴心压杆稳定可靠性的可靠性指标 ，并同均值一次二阶矩法作了比较 。
The result obtained has been compared with the one obtained by first order second moment (FOSM) method expanded about mean value.
利用一次二阶矩法，计算了一座八层配筋空心砖房屋的开裂和倒塌概率。
By using of the second-moment method the cracking and collapse probabilities of a hollow brick-wall building of 8 storey with consideration of elasticity of foundation are calculated.
利用一次二阶矩法，计算了一座八层配筋空心砖房屋的开裂和倒塌概率。
By using of the second-moment method the cracking and collapse probabilities of a hollow brick-wall building of 8 storey with consideration of elasticity of foundation are calculated.
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