基于性能退化数据的可靠性建模分析

针对传统可靠性评估方法难以解决高可靠度、长寿命产品的可靠性评估问题,本文在使用失效时间数据的基础上,提出了使用产品的性能退化数据的方法。在很多情况下,退化过程中的性能退化数据比失效时间数据更有价值。文章介绍了退化数据的优点,提出了对产品退化的一般轨迹模型;针对高可靠度的产品提出了基于退化轨迹和退化量分布的两种评估方法,并用实例分别对两种评估方法进行展开应用,验证了方法的有效性。     

基于退化失效数据的环境因子问题研究

针对具有退化失效特性的高可靠性长寿命产品,在有限试验时间内难以获得大量失效数据进行环境因子研究的问题,通过对产品性能退化特性的监测和分析,研究退化失效环境因子的建模和估计方法.给出了退化失效环境因子的一般定义和数学描述;提出了复合Poisson过程退化轨道模型的退化失效环境因子模型,并给出了环境因子点估计的矩方法和区间估计的二项分布法;通过仿真实例,对方法在工程应用上的有效性进行了说明.      

基于性能非线性退化统计模型的发动机剩余寿命预测

针对航空发动机在性能退化过程中普遍存在的非线性和不确定性问题,提出一种基于非线性退化数据的统计模型和剩 余寿命预测方法。通过对发动机性能真实退化轨道的分析,采用统计回归的建模方法建立发动机退化轨道模型,利用发动机的历 史数据,通过最小二乘估计求解模型中的未知参数;根据贝叶斯准则,以发动机实时监测数据与参数的先验分布对模型中的参数 进行实时更新,以发动机性能退化量首次达到红线值作为失效依据,采用蒙特卡洛仿真的方法得到发动机剩余寿命分布,实现了 对个体发动机剩余寿命的预测;通过试验数据进行发动机剩余寿命的预测,验证了该方法的准确性。结果表明：根据发动机退化 数据结合退化模型得到的个体发动机剩余寿命实时预测值末端均方根误差为0.02588,可以辅助指导维修决策。     

性能退化双线性过程方法与成组试验方法的比较

针对性能退化可靠性分析问题,将双线性过程方法与成组试验方法进行了对比分析.首先,从理论层面阐述了双线性过程方法和成组试验方法对性能退化数据的建模过程,可以发现:双线性过程方法通过将性能退化数据作为一个整体进行统计分析,能够避免两步估计造成的信息浪费,提高分析精度.其次,以窗雨刮器开关性能退化试验为例进行了对比分析,结果表明,双线性过程方法共有2.5%的试验数据位于概率为90%的百分位值曲线估计结果上方,符合工程实际需要,而成组试验方法共有15%的试验数据位于百分位值曲线估计结果上方.此外,基于残差分析的模型检验结果表明双线性过程方法更为合理.     

基于加速退化数据的某型电连接器可靠性评估

某型电连接器属于高可靠性、长寿命产品,在短时间内很难获取其失效数据。为了评估其可靠性,在分析其失效机理的基础上设计了步进加速退化试验,通过分析加速退化数据外推出产品在正常工作应力水平下的可靠度函数。试验中以电连接器的接触电阻作为性能参量,选取温度作为加速应力。数据分析时,利用Wiener随机过程对样品退化进行建模。为了提高模型参数的估计精度,采用极大似然法对所有性能退化数据进行整体统计推断。外推其在工作温度下的可靠度时,针对工作温度不恒定的情况利用等效温度表示温度对该产品的综合作用效果。结果表明,提出的基于加速退化数据分析的方法实用、有效,成功实现了某型电连接器的可靠性评估,并可为其他高可靠性产品的可靠性评估工作提供借鉴。     

基于面积度量的加速退化试验可信性评价方法

针对已有方法难以定量给出产品加速退化试验(ADT)结果可信程度的问题，以正常应力下的试验数据为基准，基于面积度量思想提出了一种加速退化试验结果可信性的定量评价方法。基于加速退化试验数据和基准数据的概率分布距离，构建了加速退化试验可信性的面积度量指标，在此基础上，提出了一种归一化、无量纲的加速退化试验可信度指标CIA,并基于时间重要度的概念将多个单点的CIA综合成一个可反映整个产品加速退化试验可信性的指标。实例分析表明，新指标可以让设计师和决策者直观评判产品加速退化试验结果的可信程度，方便横向对比不同产品的加速退化试验结果的优劣；所建立的新指标适用于基准数据大样本、小样本、极小样本等不同情况，具有良好的通用性。     

基于失效物理的动量轮贝叶斯可靠性评估

作为卫星姿态控制系统关键部件的动量轮,其可靠性关系到卫星发射的成败。但是由于有小子样、高可靠性和长寿命等特点,受技术、费用和时间等条件的限制,无法获得大样本失效寿命数据,因此利用传统的大样本寿命数据统计推断方法进行可靠性建模、分析与评估存在困难。为此,从失效物理分析的角度出发建立性能退化模型,用贝叶斯方法融合性能退化模型和寿命模型得到产品的可靠性评估模型,并基于该模型充分利用失效物理试验中的性能数据和少量的寿命数据来进行可靠性评估。实例分析表明,该方法与伪寿命方法相比更加符合工程实际,评估精度更高。     

退化量有缺失的无失效小样本轴承可靠性评估

针对有试验性能退化量参数记录、且(或)有部分数据缺失情况的小样本无失效轴承试验问题,通过由Taylor和Thompson提出的数据模拟法实现补全样本退化量,结合Bootstrap自助法扩大样本量,再根据基于性能退化轨迹的补充信息方法来进行其可靠性评估。选取7组受试轴承的振动退化量,对比在完整数据和带有缺失数据情况下的分析结果,发现可合理利用原舍弃不合规试验的部分有效信息,使之增加可靠性评估的样本数,从而得到较不用这些数据更为准确的结果,且所得结果较用完整数据结果绝对值相差在01以内。对比由极大似然估计法和加权E-Bayes法分析试验寿命数据的结果,发现该方法所得评估结果更优,与试验实际相比误差在10%以内,对于提高评估精度及降低试验成本有积极的实际意义。     

Gamma过程退化失效可靠性分析

退化型失效产品,可通过退化失效分析对其进行可靠性统计推断。性能退化一般是一个随机过程,并且是单调变化的,为描述产品的退化,给出了一个随机Gamma过程模型,通过求解该过程的首达时分布即可获得产品的失效分布。由于解析方法求解存在很大的难度,给出了一种基于仿真的求解方法。利用所得模型对强激光装置所用的某型金属化膜脉冲电容器进行了可靠性分析,说明了模型的适用性。     

基于Bayes-Normal模型的小子样性能可靠性评定

通过退化量分布函数研究性能退化是基于退化轨道进行性能可靠性分析的有效补充。针对试验小子样的特点,在图形法基础上运用Bayes方法,对性能可靠性的统计推断方法进行了研究,并在理论推导的基础上,举例说明了该方法的有效性。     

Erosion degradation characteristics of a linear electro-hydrostatic actuator under a high-frequency turbulent flow field

The paper proposes a performance degradation analysis model based on dynamic erosion wear for a novel Linear Electro-Hydrostatic Actuator (LEHA). Rather than the traditional statistical methods based on degradation data, the method proposed in this paper firstly analyzes the dominant progressive failure mode of the LEHA based on the working principle and working conditions of the LEHA. The Computational Fluid Dynamics (CFD) method, combining the turbulent theory and the micro erosion principle, is used to establish an erosion model of the rectification mechanism. The erosion rates for different port openings, under a time-varying flow field, are obtained. The piecewise linearization method is applied to update the concentration of contaminated particles within the LEHA, in order to gain insight into the erosion degradation process at various stages of degradation. The main contribution of the proposed model is the application of the dynamic concentration of contamination particles in erosion analysis of Electro-Hydraulic Servo Valves (EHSVs), throttle valves, spool valves, and needle valves. The effects of system parameters and working conditions on component wear are analyzed by simulations. The results of the proposed model match the expected degradation process.     

Model-driven degradation modeling approaches: Investigation and review

The second law of thermodynamics implies that any animate and inanimate systems degrade and inevitably stops functioning. It is irreversible over time that can be labeled as “the degradation arrow of time”. From perspective of products’ reliability design, it is essential to build appropriate models of describing the degradation arrow of time. The current modeling approaches mainly include the model-driven (having assumed forms based on cognitive experience of mankind) and data-driven (using data learning techniques without form hypothesis) approaches. In this paper, we just investigate and review the model-driven degradation approaches, hoping to provide suggestions of the model construction or selection for scholars or engineers. First, for the single mechanism, degradation law models and stochastic process models are classified as separately depicting the tendency and fluctuation of degradation. For the degradation law model, we propose the concept of meta-models as original types for various personal models. For the stochastic process model, two main types including the non-monotonic and monotonical types are presented. Then, four multi-mechanism degradation types are discussed, that are competitive degradation, multi-stage degradation, coexistence of degradation and impact, and coexistence of degradation and failure. Besides, for the multi-performance degradation, independent and coupling models are introduced. The forms, connotations, applicability and insufficiency of these models are described with a series of examples from the literature and our own experiences. The final explicit suggestions about the potential future work are provided for the development of new degradation models.     

基于非线性Wiener过程航空发动机性能退化预测

针对线性随机过程航空发动机剩余使用寿命预测精度不高的问题,提出一种漂移系数为指数形式的非线性Wiener过程发动机性能退化建模,进而预测航空发动机的剩余寿命。基于直接监测发动机性能退化数据,构建发动机性能退化模型,根据Wiener过程首达阈值时间的数学性质,推导出剩余寿命的概率分布。通过极大似然估计构建退化模型中未知参数的似然函数,利用遗传算法得到发动机总体模型参数的离线估计值。考虑到不同发动机个体间的差异性,采用贝叶斯公式,结合发动机的实时监测数据与总体模型参数的先验分布对模型中随机参数进行实时更新,从而对个体发动机的剩余寿命实时预测。最后,选择商用航空发动机仿真数据集(C-MAPSS)进行实验,结果表明：针对个体发动机基于非线性随机过程方法,实时更新非线性Wiener方法能够提高航空发动机循环中期剩余寿命预测的准确性,提供更加可靠的预防性维修决策。     

Remaining useful life prognostics for aeroengine based on superstatistics and information fusion

Remaining useful life（RUL） prognostics is a fundamental premise to perform conditionbased maintenance（CBM） for a system subject to performance degradation. Over the past decades,research has been conducted in RUL prognostics for aeroengine. However, most of the prognostics technologies and methods simply base on single parameter, making it hard to demonstrate the specific characteristics of its degradation. To solve such problems, this paper proposes a novel approach to predict RUL by means of superstatistics and information fusion. The performance degradation evolution of the engine is modeled by fusing multiple monitoring parameters, which manifest non-stationary characteristics while degrading. With the obtained degradation curve,prognostics model can be established by state-space method, and then RUL can be estimated when the time-varying parameters of the model are predicted and updated through Kalman filtering algorithm. By this method, the non-stationary degradation of each parameter is represented, and multiple monitoring parameters are incorporated, both contributing to the final prognostics. A case study shows that this approach enables satisfactory prediction evolution and achieves a markedly better prognosis of RUL.     

基于幂律退化轨道的小样本性能可靠性评定

结合航空航天领域高可靠、长寿命产品试验小子样的特点,运用性能退化可靠性理论和Bayes方法,对系统可靠性的统计推断方法进行了研究.首先对基于Bayes方法幂律退化轨道参数的计算模型进行研究,然后结合随机变量函数的分布的计算,推导出系统可靠性后验估计和置信下限估计的计算公式.在理论推导的基础上,结合工程实例说明该方法的有效性.     

基于蒙特卡罗发动机竞争失效的下发仿真模型

针对常规的解析法预测发动机下发时间建模过程复杂且不易求解的问题,提出了一种基于蒙特卡罗仿真预测发动机首次下发时间的方法。通过分析发动机机队的历史数据,研究排气温度裕度(EGTM)的衰退规律以及性能衰退超标的寿命分布,统计各主要部件发生首次部件损伤的时间分布,并计算偶然性损伤的发生概率,确定偶然性损伤的时间分布,对性能衰退、部件损伤、偶然性损伤三种失效模式进行竞争分析,建立蒙特卡罗仿真模型,预测发动机的首次下发时间规律。结合该机队提供的实际下发数据,利用Kolmogorov-Smirnov检验确定首次下发时间的分布类型,经分析,仿真结果的可靠度误差甚小,在-1%~2%之间,从而验证了该方法的合理性和可行性。      

Remaining useful life prediction based on variation coefficient consistency test of a Wiener process

High-cost equipment is often reused after maintenance, and whether the information before the maintenance can be used for the Remaining Useful Life (RUL) prediction after the maintenance is directly determined by the consistency of the degradation pattern before and after the maintenance. Aiming at this problem, an RUL prediction method based on the consistency test of a Wiener process is proposed. Firstly, the parameters of the Wiener process estimated by Maximum Likelihood Estimation (MLE) are proved to be biased, and a modified unbiased estimation method is proposed and verified by derivation and simulations. Then, the h statistic is constructed according to the reciprocal of the variation coefficient of the Wiener process, and the sampling distribution is derived. Meanwhile, a universal method for the consistency test is proposed based on the sampling distribution theorem, which is verified by simulation data and classical crack degradation data. Finally, based on the consistency test of the degradation model, a weighted fusion RUL prediction method is presented for the fuel pump of an airplane, and the validity of the presented method is verified by accurate computation results of real data, which provides a theoretical and practical guidance for engineers to predict the RUL of equipment after maintenance.     

基于非线性Wiener过程的航空发动机性能衰减建模与剩余寿命预测

针对航空发动机在性能衰减过程中普遍存在的非线性和三源不确定性问题,提出了一种基于非线性Wiener过程的航空发动机性能衰减建模与剩余寿命（RUL）预测方法。首先,为解决目前大多数剩余寿命预测方法中潜在假设的局限性,即当前时刻估计的漂移系数与上一时刻漂移系数的后验估计完全相等,在状态空间模型的框架下建立了一类新的同时考虑非线性和三源不确定性的性能衰减模型,并在首达时间下推导出剩余寿命的分布。然后,针对新研发航空发动机缺乏历史数据和先验信息的问题,提出了一种基于Kalman滤波和条件期望最大化（ECM）算法的参数估计方法,使得估计的模型参数不依赖于历史数据量。同时能够在获得一个新的性能衰减数据后,实现对模型参数的自适应估计和在线更新,进而实时地更新航空发动机的剩余寿命分布。实验结果表明,本文方法可以有效地提高剩余寿命预测的准确性,能为航空发动机的维修决策提供可靠的依据。     

Research of Step-down Stress Accelerated Degradation Data Assessment Method of a Certain Type of Missile Tank

The performance degradation rates of the missile tank are generally time-varying functions uneasily evaluated by general classical evaluation methods. This paper develops a segmented nonlinear accelerated degradation model (SNADM) based on the equivalent method of accumulative damage theory, which tackles the problem that product life is difficult to be determined with degradation rate being a function of the variable of time. A segmented expression of the function of population accumulative degradation is derived. And combined with nonlinear function, an accelerated degradation function, i.e., SNADM is obtained. The parameters of the SNADM are identified by numerical iteration, and the statistical function of degradation track is extrapolated. The reliability function is determined through the type of random process of the degradation distribution. Then an evaluation of product storage life is undertaken by combining the statistical function of degradation track, reliability function and threshold. An example of a missile tank undergoes a step-down stress accelerated degradation test (SDSADT), in which the results with the SNADM and the classical method are evaluated and compared. The technology introduced is validated with the resultant coincidence of both evaluated and field storage lives.