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On the Combination of Random Matrix Theory with Measurements On a Single Structure 随机矩阵理论与单结构测量的结合
IF 2.2 Q2 Social Sciences Pub Date : 2022-03-23 DOI: 10.1115/1.4054172
F. Igea, M. Chatzis, A. Cicirello
An approach is proposed for the evaluation of the probability density functions (pdfs) of the modal parameters for an ensemble of nominally identical structures when there is only access to a single structure and the dispersion parameter is known. The approach combines the Eigensystem Realization Algorithm on sets of dynamic data, with an explicit non-parametric probabilistic method. A single structure, either a mathematical model or a prototype, are respectively used to obtain simulated data or measurements that are employed to build a discrete time state-space model description. The dispersion parameter is used to describe the uncertainty due to different sources such as the variability found in the population and the identification errors found in the noisy measurements from the experiments. With this approach, instead of propagating the uncertainties through the governing equations of the system, the distribution of the modal parameters of the whole ensemble is obtained by randomising the matrices in the state-space model with an efficient procedure. The applicability of the approach is shown through the analysis of a 2D0F mass-spring-damper system and a cantilever system. These results show that if the source of uncertainty is unknown and it is possible to specify an overall level of uncertainty, by having access to a single system measurements' it is possible to evaluate the resulting pdfs on the modal parameters. It was also found that high values of the dispersion parameter may lead to non-physical results such as negative damping ratios values.
提出了一种计算名义上相同结构的系综在只有单一结构且色散参数已知的情况下模态参数的概率密度函数的方法。该方法将动态数据集上的特征系统实现算法与显式非参数概率方法相结合。单个结构(数学模型或原型)分别用于获得用于构建离散时间状态空间模型描述的模拟数据或测量。色散参数用于描述由不同来源引起的不确定性,如在总体中发现的可变性和从实验中发现的噪声测量中的识别误差。该方法不是通过系统的控制方程来传播不确定性,而是通过对状态空间模型中的矩阵进行有效的随机化来获得整个系统的模态参数分布。通过对2D0F质量-弹簧-阻尼系统和悬臂系统的分析,证明了该方法的适用性。这些结果表明,如果不确定性的来源是未知的,并且有可能指定不确定性的总体水平,通过访问单个系统测量,就有可能评估模态参数的最终pdf。还发现,高色散参数值可能导致非物理结果,如负阻尼比值。
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引用次数: 0
Envelope Method for Time- and Space-Dependent Reliability Prediction 时空相关可靠性预测的包络法
IF 2.2 Q2 Social Sciences Pub Date : 2022-03-23 DOI: 10.1115/1.4054171
Wu Hao, Xiaoping Du
Reliability can be predicted by a limit-state function, which may vary with time and space. This work extends the envelope method for a time-dependent limit-state function to a time- and space-dependent limit-state function. The proposed method uses the envelope function of time- and space-dependent limit-state function. It at first searches for the most probable point (MPP) of the envelope function using the sequential efficient global optimization in the domain of the space and time under consideration. Then the envelope function is approximated by a quadratic function at the MPP, for which analytic gradient and Hessian matrix of the envelope function are derived. Subsequently, the second-order saddlepoint approximation method is employed to estimate the probability of failure. Three examples demonstrate the effectiveness of the proposed method. The method can efficiently produce an accurate reliability prediction when the MPP is within the domain of the space and time under consideration.
可靠性可以用极限状态函数来预测,而极限状态函数可能随时间和空间而变化。本文将包络法扩展到时空相关的极限状态函数。该方法采用时空相关极限状态函数的包络函数。首先在考虑的空间和时间范围内,利用序贯高效全局优化方法寻找包络函数的最可能点(MPP);然后在MPP处用二次函数逼近包络函数,推导出包络函数的解析梯度和Hessian矩阵。然后,采用二阶鞍点逼近法对失效概率进行估计。三个算例验证了该方法的有效性。该方法能有效地在考虑的空间和时间范围内对系统进行准确的可靠性预测。
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引用次数: 2
A Novel Method to Classify Rolling Element Bearing Faults Using K-Nearest Neighbor Machine Learning Algorithm 基于k -最近邻机器学习算法的滚动轴承故障分类新方法
IF 2.2 Q2 Social Sciences Pub Date : 2022-03-18 DOI: 10.1115/1.4053760
More A. Vishwendra, Pratiksha S. Salunkhe, Shivanjali V. Patil, Sumit A. Shinde, P. V. Shinde, R. Desavale, P. M. Jadhav, Dr. Nagaraj V. Dharwadkar
A novel method is proposed in this work for the classification of fault in the ball bearings. Applications of K-nearest neighbor (KNN) techniques are increasing, which redefines the state-of-the-art technology for defect diagnosis and classification. Vibration characteristics of deep groove ball bearing with different defects are studied in this paper. Experimentation is conducted at different loads and speeds with artificially created defects, and vibration data are processed using kurtosis to find frequency band of interest and amplitude demodulation (Envelope spectrum analysis). Bearing fault amplitudes are extracted from the filtered signal spectrum at bearing characteristic frequency. The decision of fault classification is made using a KNN machine learning classifier by training feature data. The training features are created using characteristics amplitude at different fault and bearing conditions. The results showed that the KNN's accuracies are 100% and 97.3% when applied to two different experimental databases. The quantitative results of the KNN classifier are applied as the guidance for investigating the type of defects of bearing. The KNN Classifier method proved to be an effective method to quantify defects and significantly improve classification efficiency.
本文提出了一种新的滚珠轴承故障分类方法。k -最近邻(KNN)技术的应用越来越多,它重新定义了最先进的缺陷诊断和分类技术。研究了含不同缺陷的深沟球轴承的振动特性。实验在不同的负载和速度下进行,并人工制造缺陷,并使用峰度处理振动数据以找到感兴趣的频带和幅度解调(包络谱分析)。在轴承特征频率处,从滤波后的信号频谱中提取轴承故障幅值。通过训练特征数据,利用KNN机器学习分类器进行故障分类决策。利用不同故障和承载条件下的特征幅值生成训练特征。结果表明,在两种不同的实验数据库中,KNN的准确率分别为100%和97.3%。将KNN分类器的定量结果作为研究轴承缺陷类型的指导。事实证明,KNN分类器方法是一种有效的缺陷量化方法,可以显著提高分类效率。
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引用次数: 4
Systematical Collision Avoidance Reliability Analysis and Characterization of Reliable System Operation for Autonomous Navigation Using the Dynamic Window Approach 基于动态窗口方法的自主导航系统避碰可靠性分析及系统可靠运行特性研究
IF 2.2 Q2 Social Sciences Pub Date : 2022-02-25 DOI: 10.1115/1.4053941
E. Torkamani, Zhimin Xi
Dynamic window approach (DWA) is one of the most widely used algorithms for local path planning and autonomous navigation. Although many successful examples have been shown under various operation conditions, to the authors' best knowledge, there is a lack of systematic reliability analysis, its further design improvement, and systems operation guidelines for meeting reliability requirement under different operation conditions. Several goals can be defined for a successful path planning and autonomous navigation. Among them, assurance of the collision avoidance and reaching the goal with less time are pivotal requirements, yet such reliability analysis is rarely conducted in a rigorous manner. Furthermore, design improvement and systems operation design for meeting the reliability constraints do not exist in literature in this area. This paper addresses such a research gap for autonomous navigation reliability analysis and further conducts design improvement and characterizes systems operation conditions for meeting the collision avoidance reliability using the DWA. To address the technical challenges associated with limited number of simulations or experiments, reliability analysis is conducted using Bayesian statistics combined with the Monte Carlo simulation (MCS). Design improvement and reliable operation conditions can then be conducted based on the reliability analysis. Results indicate that performance reliability of the DWA is sensitive to its parameter configuration, which can be improved through reliability-based design optimization. With characterized collision avoidance reliability constraints, performance reliability of the DWA can be ensured through adjusting its operation parameters.
动态窗口法(DWA)是局部路径规划和自主导航中应用最广泛的算法之一。虽然在各种运行条件下已经有了许多成功的例子,但据笔者所知,缺乏系统的可靠性分析,其进一步的设计改进,以及满足不同运行条件下可靠性要求的系统操作指南。为了实现成功的路径规划和自主导航,可以定义几个目标。其中,保证避碰和在更短时间内达到目标是关键要求,但这种可靠性分析很少进行严格的分析。此外,满足可靠性约束的设计改进和系统运行设计在该领域的文献中尚不存在。本文针对自主导航可靠性分析的这一研究空白,进一步利用DWA进行设计改进,刻画满足避碰可靠性的系统运行条件。为了解决与有限数量的模拟或实验相关的技术挑战,使用贝叶斯统计结合蒙特卡罗模拟(MCS)进行可靠性分析。然后根据可靠性分析进行设计改进和可靠运行条件。结果表明,DWA的性能可靠性对参数配置非常敏感,可以通过基于可靠性的优化设计来提高性能可靠性。在防撞可靠性约束下,通过调整DWA的运行参数,可以保证DWA的性能可靠性。
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引用次数: 1
Fatigue Life Prediction of Structures with Interval Uncertainty 具有区间不确定性的结构疲劳寿命预测
IF 2.2 Q2 Social Sciences Pub Date : 2022-02-25 DOI: 10.1115/1.4053940
Michael Desch, M. Modares
A new method for reliable fatigue life prediction in metal structural components is developed which quantifies uncertainties using interval variables. Using this crack-initiation-based method, first, the uncertainties in laboratory test data for the fatigue failure of a structural detail are enumerated. This uncertainty quantification is performed through an interval-based enveloping procedure that relates the interval stress ranges to the number of cycles to failure. This will lead to the construction of an interval S-N relationship. Next, the uncertainties in field test data are enumerated in the extremum values of each stress range, as intervals, leading to the construction of interval stress ranges. For both the laboratory and field data uncertainty analyses, the mean stress effects are considered. Next, the interval damage accumulated over the duration of the field data is determined using the constructed interval S-N relationship and the obtained interval stress ranges. Then, the interval existing damage and interval remaining life are determined. Finally, as a conservative measure, the minimum remaining fatigue life is obtained in which, all uncertainties are considered. A numerical example illustrating the developed method is presented, and the results are compared with results obtained by both Monte Carlo simulation and optimization. Using this method, for the numerical example considered, it is shown that the results for bounds on the existing damage and the remaining fatigue life are sharp. Moreover, due to its set-based approach, the method is significantly more computationally efficient when compared with iterative procedures.
提出了一种利用区间变量量化不确定性的金属构件疲劳寿命可靠预测方法。利用这种基于裂纹萌生的方法,首先列举了结构细部疲劳破坏实验室试验数据中的不确定性。这种不确定性量化是通过一个基于区间的包络过程来实现的,该过程将区间应力范围与失效循环次数联系起来。这将导致构造一个区间S-N关系。然后,将现场试验数据中的不确定性以每个应力范围的极值作为区间,从而构建区间应力范围。对于实验室和现场数据的不确定性分析,均考虑了平均应力效应。接下来,利用构造的层间S-N关系和获得的层间应力范围,确定在现场数据持续时间内累积的层间损伤。然后,确定了层段现有损伤和层段剩余寿命。最后,在考虑所有不确定性的情况下,得到最小剩余疲劳寿命作为一种保守度量。最后给出了一个数值算例,并与蒙特卡罗模拟和优化的结果进行了比较。应用该方法对所考虑的数值算例进行了计算,结果表明该方法对现有损伤和剩余疲劳寿命的边界计算结果是清晰的。此外,由于其基于集合的方法,与迭代方法相比,该方法的计算效率显著提高。
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引用次数: 0
Remaining Useful Life Prediction Method of Aero Engine With Multilayer Uncertainty 多层不确定性航空发动机剩余使用寿命预测方法
IF 2.2 Q2 Social Sciences Pub Date : 2022-02-19 DOI: 10.1115/1.4053906
Ma JiaShun, JianFeng Wu, Yong Zhang
Uncertainties associated with the prediction of the Remaining Useful Life (RUL) of random degradation equipment are influenced by such factors as time-varying uncertainty, individual difference, and measurement error. Given this, a predictive method for the RUL of an aero -engine with three layers of uncertainty was proposed. Firstly, historical condition monitoring data was used to generate a Composite Health Index (CHI) for characterizing the performance degradation of the engine. Then a nonlinear Wiener degradation model is built considering three layers of uncertainty. Secondly, the maximum likelihood method is applied to obtain the estimates of the priori distribution of the random coefficients in the degradation model. Then, the degradation states were updated synchronously by applying the Kalman Filtering (KF) algorithm and constructing the state-space model. Finally, the Probability Density Function (PDF) of the RUL with three layers of uncertainty was deduced from the total probability formula. A numerical example and a case study comparing several representative methods in the literature were presented using the aero-engine data. The simulation example analysis shows that the proposed method can significantly improve RUL prediction accuracy, and thus it has a particular engineering application value.
随机降解设备剩余使用寿命预测的不确定性受时变不确定性、个体差异和测量误差等因素的影响。在此基础上,提出了一种具有三层不确定性的航空发动机RUL预测方法。首先,利用历史状态监测数据生成复合健康指数(CHI)来表征发动机的性能退化;然后建立了考虑三层不确定性的非线性维纳退化模型。其次,采用极大似然法对退化模型中随机系数的先验分布进行估计;然后,采用卡尔曼滤波(KF)算法对退化状态进行同步更新,并建立状态空间模型;最后,由总概率公式推导出具有三层不确定性的RUL的概率密度函数(PDF)。以航空发动机为例,给出了数值算例,并对文献中几种有代表性的方法进行了比较。仿真算例分析表明,该方法能显著提高RUL预测精度,具有一定的工程应用价值。
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引用次数: 0
Estimating Concrete Strength From Non-Destructive Testing with Few Core Tests Considering Uncertainties 考虑不确定性的少量核心试验无损检测混凝土强度估算
IF 2.2 Q2 Social Sciences Pub Date : 2022-01-26 DOI: 10.1115/1.4053639
S. Dauji, Soubhagya Karmakar
Important facilities constructed during last decades of 20th century are near completion of design life. For extending their service life or to evaluate these for new demands (loads), assessment of strength of concrete in existing structure becomes necessary, a task generally performed with non-destructive tests (NDT); ultrasonic pulse velocity and rebound hammer being most commonly executed. Compressive strength is estimated using empirical expressions relating NDT to partially destructive tests (PDT) such as core test. For development of structure-specific expressions, results of adequate number (depending on variability and desired confidence level) of PDT are essential but these might not be available due to operational constraints. Correlation expressions from literature could be used in such cases but having been developed for different ingredients, curing regimes, and environmental exposure conditions, there would be associated uncertainties. A practical method for estimation of these uncertainties is not readily available in literature. This article proposes the statistical approach of re-sampling for quantifying uncertainty of indirect strength estimates using expressions from literature. Parametric (probability distribution) and nonparametric (bootstrap) tools are employed and demonstrated with a case study from India. Both parametric and nonparametric approaches could capture across-member variability whereas overall uncertainty incorporation as well as repeatability was better in nonparametric approach. Parametric approach is traditionally used and well accepted by practitioners in contrast to nonparametric methods, which have certain advantages. The detailed methodology enumerated in the article would be very useful for practitioners across the world.
20世纪最后几十年建造的重要设施已接近设计寿命。为了延长其使用寿命或评估这些新要求(载荷),必须评估现有结构中的混凝土强度,这项任务通常通过无损检测(NDT)进行;超声波脉冲速度和回弹锤是最常用的。抗压强度是利用无损检测与部分破坏试验(PDT)(如岩心试验)相关的经验表达式来估计的。对于结构特异性表达式的开发,足够数量的PDT结果(取决于可变性和期望的置信水平)是必不可少的,但由于操作限制,这些结果可能无法获得。文献中的相关表达式可以在这种情况下使用,但由于针对不同的成分、固化制度和环境暴露条件而开发,因此会存在相关的不确定性。估计这些不确定度的实用方法在文献中还没有找到。本文提出了用文献表达式对间接强度估计的不确定度进行再抽样量化的统计方法。使用参数(概率分布)和非参数(自举)工具,并通过印度的案例研究进行了演示。参数方法和非参数方法都可以捕获跨成员的可变性,而非参数方法的总体不确定性整合和可重复性更好。与非参数方法相比,参数方法具有一定的优势,是一种传统的方法,为实践者所接受。文中列举的详细方法对全世界的从业者都非常有用。
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引用次数: 2
A Damage Detection and Location Scheme for Offshore Wind Turbine Jacket Structures Based On Global Modal Properties 基于全局模态特性的海上风力机导管套结构损伤检测与定位方法
IF 2.2 Q2 Social Sciences Pub Date : 2022-01-26 DOI: 10.1115/1.4053659
D. Cevasco, J. Tautz-Weinert, M. Richmond, A. Sobey, A. Kolios
Structural failures of offshore wind turbine substructures might be less likely than failures of other equipment of the wind turbine generator but pose a high risk due to the possibility of catastrophic consequences. Significant costs are linked to offshore operations like inspections and maintenance, thus remote monitoring shows promise for cost-efficient structural integrity management. This work is aimed to investigate the feasibility of the two-level detection, in terms of anomaly identification and localisation, in the jacket structure of an offshore wind turbine. A monitoring scheme is developed based on a database of modal properties of the structure for different scenarios. The method identifies the correct anomaly scenario based on three types of modal indicators, namely natural frequency, the modal assurance criterion between mode shapes, and the modal flexibility variation. The supervised Fisher's linear discriminant analysis is applied to transform the modal indicators to maximise the separability of anomaly scenarios. A Fuzzy clustering algorithm is trained to predict the membership of new data to the scenarios in the database. In a case study, extreme scour phenomena and jacket member integrity loss are simulated, together with variations of the structural dynamics for environmental and operating conditions. Cross-validation is used to select the best hyperparameters and the effectiveness of the clustering is validated with slight variations of the environmental conditions. The results prove that it is feasible to detect and localise the simulated scenarios via the global monitoring of an offshore wind jacket structure.
海上风力发电机组子结构的结构失效可能比风力发电机组其他设备的故障发生的可能性小,但由于可能造成灾难性后果,因此具有很高的风险。检查和维护等海上作业的成本很高,因此远程监控有望实现经济高效的结构完整性管理。这项工作的目的是研究两级检测的可行性,在异常识别和定位方面,在海上风力发电机的导管套结构。基于结构模态特性数据库,提出了一种针对不同情况的监测方案。该方法基于固有频率、模态振型间模态保证准则和模态柔度变化三种模态指标识别出正确的异常情景。应用监督Fisher线性判别分析对模态指标进行变换,使异常情景的可分性最大化。训练模糊聚类算法来预测新数据与数据库中场景的隶属关系。在一个案例研究中,模拟了极端冲刷现象和夹套构件完整性损失,以及环境和操作条件下结构动力学的变化。交叉验证用于选择最佳超参数,并通过环境条件的微小变化验证聚类的有效性。结果表明,通过对海上风导管架结构的全局监测,对模拟情景进行检测和定位是可行的。
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引用次数: 1
A Computational Framework for Human-centric Vehicular Crashworthiness Design and Decision-Making Under Uncertainty 不确定条件下以人为本的汽车耐撞性设计与决策计算框架
IF 2.2 Q2 Social Sciences Pub Date : 2022-01-12 DOI: 10.1115/1.4053515
A. Nellippallil, P. Berthelson, L. Peterson, R. Prabhu
Government agencies, globally, strive to minimize the likelihood and frequency of human death and severe injury on road transport systems. From an engineering design standpoint, the minimization of these road accident effects on occupants becomes a critical design goal. This necessitates the quantification and management of injury risks on the human body in response to several vehicular impact variables and their associated uncertainties for different crash scenarios. In this paper, we present a decision-based, robust design framework to quantify and manage the impact-based injury risks on occupants for different computational model-based car crash scenarios. The key functionality offered is the designer's capability to conduct robust concept exploration focused on managing the selected impact variables and associated uncertainties, such that injury risks are controlled within acceptable levels. The framework's efficacy is tested for near-side impact scenarios with impact velocity and angle of impact as the critical variables of interest. Two injury criteria, namely, Head Injury Criterion (HIC) and Lateral Neck Injury Criteria (Lateral Nij), are selected to quantitatively measure the head and neck injury risks in each crash simulation. Using the framework, a robust design problem is formulated to determine the combination of impact variables that best satisfice the injury goals defined. The framework and associated design constructs are generic and support the formulation and decision-based robust concept exploration of similar problems involving models under uncertainty. Our focus in this paper is on the framework rather than the results per se.
全球的政府机构努力尽量减少道路运输系统造成人员死亡和重伤的可能性和频率。从工程设计的角度来看,将这些交通事故对乘员的影响最小化是一个关键的设计目标。这就需要量化和管理不同碰撞场景下的人体损伤风险,以应对几种车辆碰撞变量及其相关的不确定性。在本文中,我们提出了一个基于决策的稳健设计框架,用于量化和管理不同基于计算模型的汽车碰撞场景中乘员基于冲击的伤害风险。该系统提供的关键功能是,设计师能够进行稳健的概念探索,专注于管理选定的冲击变量和相关的不确定性,从而将伤害风险控制在可接受的范围内。以冲击速度和冲击角度为关键变量,对该框架的有效性进行了测试。在每次碰撞模拟中,我们选择了两个损伤标准,即Head injury Criterion (HIC)和Lateral Neck injury criteria (Lateral Nij)来定量衡量头颈部损伤的风险。使用该框架,制定了一个稳健的设计问题,以确定最能满足所定义的损伤目标的冲击变量组合。框架和相关的设计结构是通用的,支持不确定性下涉及模型的类似问题的公式化和基于决策的鲁棒概念探索。本文的重点是框架,而不是结果本身。
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引用次数: 2
Improving Site-Dependent Wind Turbine Performance Prediction Accuracy Using Machine Learning 利用机器学习提高现场风力涡轮机性能预测的准确性
IF 2.2 Q2 Social Sciences Pub Date : 2022-01-12 DOI: 10.1115/1.4053513
S. Barber, F. Hammer, A. Tica
Data-driven wind turbine performance predictions, such as power and loads, are important for planning and operation. Current methods do not take site-specific conditions such as turbulence intensity and shear into account, which could result in errors of up to 10%. In this work, four different machine learning models (k-nearest neighbors regression, random forest regression, extreme gradient boosting regression and artificial neural networks (ANN) are trained and tested, firstly on a simulation dataset and then on a real dataset. It is found that machine learning methods that take site-specific conditions into account can improve prediction accuracy by a factor of two to three, depening on the error indicator chosen. Similar results are observed for multi-output ANNs for simulated in- and out-of-plane rotor blade tip deflection and root loads. Future work focuses on understanding transferability of results between different turbines within a wind farm and between different wind turbine types.
数据驱动的风力涡轮机性能预测,如功率和负荷,对规划和运行很重要。目前的方法没有考虑到现场特定的条件,如湍流强度和剪切,这可能导致高达10%的误差。在这项工作中,四种不同的机器学习模型(k-最近邻回归,随机森林回归,极端梯度增强回归和人工神经网络(ANN))进行了训练和测试,首先在模拟数据集上,然后在真实数据集上。研究发现,考虑到特定地点条件的机器学习方法可以将预测精度提高两到三倍,具体取决于所选择的误差指标。多输出人工神经网络在模拟面内和面外旋翼叶尖挠度和根部载荷时也观察到类似的结果。未来的工作重点是了解风力发电场内不同涡轮机之间以及不同风力涡轮机类型之间结果的可转移性。
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引用次数: 7
期刊
ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems Part B-Mechanical Engineering
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