Improved Discrete Interval-Valued Stress-Strength Interference Model Based on Extended Universal Generating Function

In practical engineering,sometimes the probability density functions( PDFs) of stress and strength can not be exactly determined,or only limited experiment data are available. In these cases,the traditional stress-strength interference( SSI) model based on classical probabilistic approach can not be used to evaluate reliabilities of components. To solve this issue, the traditional universal generating function( UGF) is introduced and then it is extended to represent the discrete interval-valued random variable.Based on the extended UGF,an improved discrete interval-valued SSI model is proposed, which has higher calculation precision compared with the existing methods. Finally,an illustrative case is given to demonstrate the validity of the proposed model.

Reliability Bounds based on Universal Generating Function and Discrete Stress-strength Interference Model

A method for estimating the component reliability is proposed when the probability density functions of stress and strength can not be exactly determined. For two groups of finite experimental data about the stress and strength, an interval statistics method is introduced. The processed results are formulated as two interval-valued random variables and are graphically represented component reliability are proposed based on the by using two histograms. The lower and upper bounds of universal generating function method and are calculated by solving two discrete stress-strength interference models. The graphical calculations of the proposed reliability bounds are presented through a numerical example and the confidence of the proposed reliability bounds is discussed to demonstrate the validity of the proposed method. It is showed that the proposed reliability bounds can undoubtedly bracket the real reliability value. The proposed method extends the exciting universal generating function method and can give an interval estimation of component reliability in the case of lake of sufficient experimental data. An application example is given to illustrate the proposed method

变风速条件下风电齿轮随机可靠性优化

为了在变风速条件下对风电齿轮强度可靠性进行分析及优化,提出了齿轮随机可靠性优化模型.利用风速观测数据推导轮齿载荷的波动特性,定义相关随机量以适应应力-强度干涉模型,应用蒙特卡罗法建立齿轮参数和强度可靠度之间的响应关系,同时,制定相关约束条件并以遗传算法作为求解策略.该优化模型不仅能够定量分析风速变化对齿轮强度可靠性的影响,并且可在随机参数情况下对齿轮强度可靠性进行优化.算例对5种风速模式下的风电齿轮强度可靠度进行了分析,结果表明:风速变化将导致传动齿轮强度可靠度下降,经过优化后强度可靠度得到明显改善,在5种模式下均不小于98.89%.

考虑性能退化的IGBT模块可靠性度量模型

提出了一种考虑性能退化因素的IGBT模块可靠性度量模型,该模型以广义应力-强度干涉模型为基础,同时考虑了应力和强度间的相关性以及使用过程中强度的退化性问题。分析了IGBT模块失效原因和失效类型,通过功率循环加速老化试验获取IGBT模块的退化数据,并选用Gamma分布来描述IGBT模块性能退化参数的退化过程;最后,根据广义应力-强度干涉模型求取某种应力环境下对应的IGBT模块可靠度,建立了广义应力与广义强度间的关系,计算得到IGBT模块在某种应力环境下的可靠度区间值。计算结果表明,与现有的可靠性度量模型相比,该方法能够实现IGBT模块可靠性度量,可应用于IGBT模块的器件选型。

应力—强度干涉的直方图模型及可靠度计算的发生函数法

为解决应力与强度的精确概率分布密度函数未知时的结构可靠性分析问题,提出了一种基于通用发生函数和直方图的可靠度近似计算方法。对于应力与强度的有限个实验数据,经过统计分析后绘出其直方图。对传统的通用发生函数法进行扩展,提出了一种区间值型的发生函数。用扩展后的发生函数对应力与强度的统计直方图进行数学表征,进而提出了一种基于直方图的应力-强度干涉模型。用区间值型发生函数法对结构的极限状态函数进行组合运算,获得极限状态函数的区间值型发生函数表示。定义了极限状态函数的概率质量加权系数,通过安全域内所有概率质量的加权累加获得结构的可靠度。给出了三个典型的可靠度计算实例。实例表明,所提出的方法具有较高的可靠度计算精度,是一种有效的可靠性分析新方法。