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Combined Fault Tree Analysis and Bayesian Network for Reliability Assessment of Marine Internal Combustion Engine
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作者 Ivana Jovanović Çağlar Karatuğ +1 位作者 Maja Perčić Nikola Vladimir 《哈尔滨工程大学学报(英文版)》 2026年第1期239-258,共20页
This paper investigates the reliability of internal marine combustion engines using an integrated approach that combines Fault Tree Analysis(FTA)and Bayesian Networks(BN).FTA provides a structured,top-down method for ... This paper investigates the reliability of internal marine combustion engines using an integrated approach that combines Fault Tree Analysis(FTA)and Bayesian Networks(BN).FTA provides a structured,top-down method for identifying critical failure modes and their root causes,while BN introduces flexibility in probabilistic reasoning,enabling dynamic updates based on new evidence.This dual methodology overcomes the limitations of static FTA models,offering a comprehensive framework for system reliability analysis.Critical failures,including External Leakage(ELU),Failure to Start(FTS),and Overheating(OHE),were identified as key risks.By incorporating redundancy into high-risk components such as pumps and batteries,the likelihood of these failures was significantly reduced.For instance,redundant pumps reduced the probability of ELU by 31.88%,while additional batteries decreased the occurrence of FTS by 36.45%.The results underscore the practical benefits of combining FTA and BN for enhancing system reliability,particularly in maritime applications where operational safety and efficiency are critical.This research provides valuable insights for maintenance planning and highlights the importance of redundancy in critical systems,especially as the industry transitions toward more autonomous vessels. 展开更多
关键词 fault tree analysis Bayesian network RELIABILITY REDUNDANCY Internal combustion engine
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基于粒子索引排序算法的kd-tree缓存优化问题研究
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作者 张挺 林震寰 +2 位作者 杨丁颖 王宗锴 陈轶凡 《工程科学与技术》 北大核心 2026年第1期313-323,共11页
在使用kd-tree进行大规模随机粒子近邻搜索时,可能出现计算域内索引值相近的粒子在空间上距离较远而导致kd-tree搜索路径在短时间内产生较大差异等问题,使得节点数据的访问效率降低,最终影响kd-tree近邻搜索的效率。为解决该问题,本文... 在使用kd-tree进行大规模随机粒子近邻搜索时,可能出现计算域内索引值相近的粒子在空间上距离较远而导致kd-tree搜索路径在短时间内产生较大差异等问题,使得节点数据的访问效率降低,最终影响kd-tree近邻搜索的效率。为解决该问题,本文引入了主成分分析中最大离散度降维的思想,采用平均绝对差作为离散度衡量指标,提出了基于平均绝对差粒子索引值排序的缓存优化策略MAD-index-sort,通过计算粒子集群平均绝对差最大的维度来实现数据降维,进而完成粒子的索引值重排序,并应用具有自动终止准则的ATC-kd-tree进行近邻搜索。为验证MADindex-sort缓存优化策略的可行性,设计了不同维度和离散度对照组进行近邻搜索效率对比实验。结果表明,MADindex-sort能根据粒子集群的离散度自动改变排序方向,具有更强的适应性,相较于未排序的情况性能最高可提升30.3%。 展开更多
关键词 KD-tree 粒子近邻搜索 缓存优化 粒子索引值排序
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Reliability allocation of railway system based on fault tree
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作者 Pei Liu Xing Fang +3 位作者 Jiaxu Chen Jingyu Zhang Kexin Zhang Mingming Wang 《Railway Sciences》 2025年第4期550-562,共13页
Purpose–This paper focuses on studying the reliability allocation for the railway system,aiming to improve the overall reliability of the railway system and ensure safety operation.Design/methodology/approach–In vie... Purpose–This paper focuses on studying the reliability allocation for the railway system,aiming to improve the overall reliability of the railway system and ensure safety operation.Design/methodology/approach–In view of the complex structure of the railway system,involving many subsystems,this paper analyzes the close dynamic coupling effect between railway subsystems.Based on this,taking the railway system failure as the top event,a fault tree is constructed in this paper.Then,a reliability allocation method based on the fault tree is employed to allocate the reliability index.Finally,a numerical experiment is implemented to show the performance of the reliability allocation method.Findings–The results showed that each subsystem needs to improve its reliability to meet the specified railway system reliability requirements,and the traction power supply system is the most important subsystem,which is the most efficient in improving the reliability of the railway system.Originality/value–For the first time,starting from a holistic perspective of the system,reliability allocation is carried out based on the importance of each railway subsystem. 展开更多
关键词 Railway system Composition structure fault tree construction Reliability allocation
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A Coordinated Multi-Loop Control Strategy for Fault Ride-Through in Grid-Forming Converters
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作者 Zhuang Liu Mingwei Ren +1 位作者 Kai Shi Peifeng Xu 《Energy Engineering》 2026年第1期115-135,共21页
Grid-Forming(GFM)converters are prone to fault-induced overcurrent and power angle instability during grid fault-induced voltage sags.To address this,this paper develops a multi-loop coordinated fault ridethrough(FRT)... Grid-Forming(GFM)converters are prone to fault-induced overcurrent and power angle instability during grid fault-induced voltage sags.To address this,this paper develops a multi-loop coordinated fault ridethrough(FRT)control strategy based on a power outer loop and voltage-current inner loops,aiming to enhance the stability and current-limiting capability of GFM converters during grid fault conditions.During voltage sags,the GFM converter’s voltage source behavior is maintained by dynamically adjusting the reactive power reference to provide voltage support,thereby effectively suppressing the steady-state component of the fault current.To address the active power imbalance induced by voltage sags,a dynamic active power reference correction method based on apparent power is designed to mitigate power angle oscillations and limit transient current.Moreover,an adaptive virtual impedance loop is implemented to enhance dynamic transient current-limiting performance during the fault initiation phase.This approach improves the responsiveness of the inner loop and ensures safe system operation under various fault severities.Under asymmetric fault conditions,a negative-sequence reactive current compensation strategy is incorporated to further suppress negative-sequence voltage and improve voltage symmetry.The proposed control scheme enables coordinated operation of multiple control objectives,including voltage support,current suppression,and power angle stability,across different fault scenarios.Finally,MATLAB/Simulink simulation results validate the effectiveness of the proposed strategy,showcasing its superior performance in current limiting and power angle stability,thereby significantly enhancing the system’s fault ride-through capability. 展开更多
关键词 Grid-forming converter multi-loop coordination negative-sequence control fault ride-through
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Development of Fault Diagnosis System for Spacecraft Based on Fault Tree and G2 被引量:5
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作者 纪常伟 荣吉利 《Journal of Beijing Institute of Technology》 EI CAS 2002年第4期444-448,共5页
Some ideas in the development of fault diagnosis system for spacecraft are introduced. Firstly, the architecture of spacecraft fault diagnosis is proposed hierarchically with four diagnosis frames, i.e., system level,... Some ideas in the development of fault diagnosis system for spacecraft are introduced. Firstly, the architecture of spacecraft fault diagnosis is proposed hierarchically with four diagnosis frames, i.e., system level, subsystem level, component level and element level. Secondly, a hierarchical diagnosis model is expressed with four layers, i.e., sensors layer, function layer, behavior layer and structure layer. These layers are used to work together to accomplish the fault alarm, diagnosis and localization. Thirdly, a fault-tree-oriented hybrid knowledge representation based on frame and generalized rule and its relevant reasoning strategy is put forward. Finally, a diagnosis case for spacecraft power system is exemplified combining the above with a powerful expert system development tool G2. 展开更多
关键词 spacecraft fault diagnosis fault tree hierarchical diagnosis model G2
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Fault Tree+软件在长输天然气管道定量风险分析中的应用 被引量:5
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作者 黄勇 陈海群 王凯全 《中国安全生产科学技术》 CAS CSCD 2013年第1期92-97,共6页
为了确定影响长输天然气管道系统发生事故的各种因素,减少事故发生所造成的损失,保证管道安全运行,借助Fault Tree+软件对天然气管道系统进行了定量风险分析。根据相关资料,建立了长输天然气管道系统的故障树,明确了44个基本事件的概率... 为了确定影响长输天然气管道系统发生事故的各种因素,减少事故发生所造成的损失,保证管道安全运行,借助Fault Tree+软件对天然气管道系统进行了定量风险分析。根据相关资料,建立了长输天然气管道系统的故障树,明确了44个基本事件的概率,并运用Fault Tree+软件分析、计算功能,确定了管道穿孔、断裂等中间事件以及管道失效顶事件的概率。再以"断裂泄漏"事故开展事件树分析,建立"立即点燃"、"延迟点燃"等事件,并推导了可能导致的所有后果及概率,计算出"延迟点燃"事件没有发生以及发生"爆炸"事故的概率。最后以经济损失来度量"断裂泄漏"各后果事件的失效风险,累加每个后果事件的经济损失,得到某段天然气管道"断裂泄漏"事故的风险值。 展开更多
关键词 长输管道 风险分析 断裂 故障树 事件树 失效概率
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A SIMULATED ANNEALING METHOD FOR FAULT TREE ANALYSIS
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作者 刘子先 何桢 贾湖 《Transactions of Tianjin University》 EI CAS 1997年第2期113-116,共4页
This paper presents an approximate algorithm based on simulated annealing to achieve the maximum probability of the minimal cut sets for a fault tree. Near optimal minimal cut sets and important sequence of the basic ... This paper presents an approximate algorithm based on simulated annealing to achieve the maximum probability of the minimal cut sets for a fault tree. Near optimal minimal cut sets and important sequence of the basic events are also solved by the method. Computer simulations show that the algorithm performs very well. 展开更多
关键词 fault tree analysis minimal cut set simulated annealing probability of the minimal cut set
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FAULT TREE ANALYSIS OF SPONTANEOUS COMBUSTION OF SULPHIDE ORES AND ITS RISK ASSESSMENT 被引量:21
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作者 Wu Chao(Department of Resources Exploitation Engineering, Central South University of Technology, Changsha, 410083, China ) 《Journal of Central South University》 SCIE EI CAS 1995年第2期77-80,共4页
A logic fault tree of mine spontaneous combustion of sulphide ores was built by the fault tree analysis (FTA) based on a lot of mechanism investigation of sulphide ore spontaneous combustion in more than ten mines an... A logic fault tree of mine spontaneous combustion of sulphide ores was built by the fault tree analysis (FTA) based on a lot of mechanism investigation of sulphide ore spontaneous combustion in more than ten mines and review of a great amount of relevant 展开更多
关键词 fault tree analysis SULPHIDE ORES SPONTANEOUS COMBUSTION risk assessment
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Assessment of gas and dust explosion in coal mines by means of fuzzy fault tree analysis 被引量:13
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作者 Shulei Shi Bingyou Jiang Xiangrui Meng 《International Journal of Mining Science and Technology》 SCIE EI CSCD 2018年第6期991-998,共8页
During the past decade, coal dust and gas explosions have been the most two serious types of disasters in China, threatening the lives of miners and causing significant losses in terms of national property. In this pa... During the past decade, coal dust and gas explosions have been the most two serious types of disasters in China, threatening the lives of miners and causing significant losses in terms of national property. In this paper, an evaluation model of coal dust and gas explosions was constructed based on a fuzzy fault tree by taking the Xingli Coal Mine as a research site to identify the risk factors of coal dust and gas explosions.Furthermore, the hazards associated with such explosions were evaluated for this particular coal mine.After completing an on-site investigation, the fuzzy probabilities of basic events were obtained through expert scoring, and these expert opinions were then aggregated as trapezoidal fuzzy numbers to calculate the degrees of importance of all basic events. Finally, these degrees of importance were sorted. According to the resulting order, the basic events with higher probabilities were determined to identify key hazards in the daily safety management of this particular coal mine. Moreover, effective measures for preventing gas and coal dust explosions were derived. The fuzzy fault tree analysis method is of high significance in the analysis of accidental coal mine explosions and provides theoretical guidance for improving the efficiency of coal mine safety management in a scientific and feasible manner. 展开更多
关键词 Coal DUST explosion Gas explosion FUZZY fault tree analysis(FFTA) Trapezoidal FUZZY NUMBERS
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Fault Diagnosis Method Based on System-phenomenon-fault Tree 被引量:6
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作者 CHEN Guorong YAN Ping +1 位作者 YI Runzhong LIU Fei 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2011年第3期466-473,共8页
The historical records of mechanical fault contain great amount of important information which is useful to identify the similar fault.The current fault diagnosis methods using historical records are inefficient to de... The historical records of mechanical fault contain great amount of important information which is useful to identify the similar fault.The current fault diagnosis methods using historical records are inefficient to deal with intuitive application and multicomponent multiphase fault diagnosis.Towards the problem,the rapid and intelligent fault diagnosis method based on system-phenomenon-fault (SPF) tree is proposed.The method begins with the physical system of the fault system,conceives the fault causes as leaves,the fault causes as leaves and the frequentness of fault as the interrelationship,and finally forms the fault tree with structural relationship of administrative subordination and flexible multi-granularity components.Firstly,the forming method of SPF tree is discussed;Secondly some basic definitions as synonymous branch,the tough degree of the branch,the dominant leaf,and the virtual branch are defined;and then,the performances including the merger of the dominant branches keeping dominant,the merger of the synonymous branches keeping dominant were proved.Furthermore,the merging,optimizing and calculating of virtual branch of SPF tree are proposed,the self-learning mechanism including the procedure and the related parameter calculation is presented,and the fault searching method and main fault statistics calculation are also presented based on SPF tree.Finally,the method is applied in the fault diagnosis of the certain type of embedded terminal to demonstrate fault information searching in the condition of the synonymous branch,the virtual branch merging and visual presentation of search results.The application shows that the proposed method is effective to narrow down the scope of searching fault and reduce the difficulty of computing.The proposed method is a new way to resolve the intelligent fault diagnosis problem of complex systems by organizing the disordering fault records and providing intuitive expression and intelligent computing capabilities. 展开更多
关键词 system-phenomenon-fault tree fault analysis knowledge acquisition machining learning
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Fault-tree Models of Accident Scenarios of RoPax Vessels 被引量:4
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作者 Pedro Antao C. Guedes Soares 《International Journal of Automation and computing》 EI 2006年第2期107-116,共10页
Ro-Ro vessels for cargo and passengers (RoPax) are a relatively new concept that has proven to be popular in the Mediterranean region and is becoming more widespread in Northern Europe. Due to its design characteris... Ro-Ro vessels for cargo and passengers (RoPax) are a relatively new concept that has proven to be popular in the Mediterranean region and is becoming more widespread in Northern Europe. Due to its design characteristics and amount of passengers, although less than a regular passenger liner, accidents with RoPax vessels have far reaching consequences both for economical and for human life. The objective of this paper is to identify hazards related to casualties of RoPax vessels. The terminal casualty events chosen are related to accident and incident statistics for this type of vessel. This paper focuses on the identification of the basic events that can lead to an accident and the performance requirements. The hazard identification is carried out as the first step of a Formal Safety Assessment (FSA) and the modelling of the relation between the relevant events is made using Fault Tree Analysis (FTA). The conclusions of this study are recommendations to the later steps of FSA rather than for decision making (Step 5 of FSA). These recommendations will be focused on the possible design shortcomings identified during the analysis by fault trees throughout cut sets. Also the role that human factors have is analysed through a sensitivity analysis where it is shown that their influence is higher for groundings and collisions where an increase of the initial probability leads to the change of almost 90% of the accident occurrence. 展开更多
关键词 Ship accidents fault trees human factors.
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Fault Tree Analysis of Dust Suppression Mechanism in a Spray System with Wetting Agent 被引量:3
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作者 WU Chao GU De-sheng 《Journal of Central South University》 SCIE EI CAS 2000年第3期117-123,共7页
By using the fault tree analysis in reliability theory as the systematical analysis approach, the dust suppression mechanism in a spray system with wetting agent is shown in a logic tree and some graphical models. Fro... By using the fault tree analysis in reliability theory as the systematical analysis approach, the dust suppression mechanism in a spray system with wetting agent is shown in a logic tree and some graphical models. From these diagrams, all factors related to the spray system and their cause and effect relationship can be seen clearly. Based on the built logic tree, several mathematical models and new ideas for expressing the dust suppressing efficiency in the spray system are put forward. The significance of all factors related to the efficiency of suppressing dust is qualitatively described. Furthermore, the new concepts, such as, the effective reaction time between dust particle and droplet, the expansion phenomenon of laden dust droplet, the functions of volatile and the relative size distribution efficiency of wetting agent are presented. All this richenes the existing mechanism of dust abatement by spraying wetting agent. At last, several problems that need to be further investigated are also suggested in the paper. 展开更多
关键词 coal DUST SPRAY system WETTING agent fault tree analysis MECHANISM efficiency approaches
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Fault Tree Analysis of Fire and Explosion Accidents for Dual Fuel (Diesel/Natural Gas) Ship Engine Rooms 被引量:2
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作者 Yifeng Guan Jie Zhao +1 位作者 Tengfei Shi Peipei Zhu 《Journal of Marine Science and Application》 CSCD 2016年第3期331-335,共5页
In recent years, China's increased interest in environmental protection has led to a promotion of energy-efficient dual fuel(diesel/natural gas) ships in Chinese inland rivers. A natural gas as ship fuel may pose ... In recent years, China's increased interest in environmental protection has led to a promotion of energy-efficient dual fuel(diesel/natural gas) ships in Chinese inland rivers. A natural gas as ship fuel may pose dangers of fire and explosion if a gas leak occurs. If explosions or fires occur in the engine rooms of a ship, heavy damage and losses will be incurred. In this paper, a fault tree model is presented that considers both fires and explosions in a dual fuel ship; in this model, dual fuel engine rooms are the top events. All the basic events along with the minimum cut sets are obtained through the analysis.The primary factors that affect accidents involving fires and explosions are determined by calculating the degree of structure importance of the basic events.According to these results, corresponding measures are proposed to ensure and improve the safety and reliability of Chinese inland dual fuel ships. 展开更多
关键词 dual fuel ship engine room fault tree fire and explosion safety measures gas leak
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Analysis of superheater's pipe wall overtemperature by fault tree diagnose 被引量:3
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作者 任浩仁 陈坚红 +1 位作者 李蔚 盛德仁 《Journal of Zhejiang University Science》 CSCD 2002年第4期391-394,共4页
After research on a 2000t/h subcritical forced-circulation balanced ventilation were applied boiler and the structure and operation of its auxiliary system builds up this heat transfer model of a superheater's pip... After research on a 2000t/h subcritical forced-circulation balanced ventilation were applied boiler and the structure and operation of its auxiliary system builds up this heat transfer model of a superheater's pipe wall and analyze the effect of primary factors on the overtemperature of the pipe wall. Fault tree structure was used to uncover the multiplayer logic between the overtemperature of the superheater's pipe wall and the faults. 展开更多
关键词 fault tree SUPERHEATER Overtemperature Diagnose analyze
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Assessment Method for the Reliability of Power Transformer Based on Fault-tree Analysis 被引量:15
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作者 WANG You-yuan ZHOU Jing-jing CHEN Wei-gen DU Lin CHEN Ren-gang 《高电压技术》 EI CAS CSCD 北大核心 2009年第3期514-520,共7页
关键词 电力变压器 供电系统 故障树分析 失效模式
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DATA TRANSFORMATION OF FAULT TREE BY USING MATRIX OPERATION 被引量:2
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作者 CaiJiakun ChenJinshui 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2003年第3期260-263,共4页
On the base of study of the correlation of fault tree's main data-minimum cutsets, minimum path sets, non-intersect minimum cut sets and non-intersect minimum path sets,transformation method among main data are fo... On the base of study of the correlation of fault tree's main data-minimum cutsets, minimum path sets, non-intersect minimum cut sets and non-intersect minimum path sets,transformation method among main data are found, i.e. the transformation can be realized by theoperation of cut sets matrixes. This method provides anew way to reduce 'NP' difficulty and simplifyFTA. 展开更多
关键词 fault tree Cut sets matrix Non-intersect D operation N operation
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Qualitative analysis for state/event fault trees using formal model checking 被引量:3
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作者 JIANG Quan ZHU Chunling WANG Siqi 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2019年第5期959-973,共15页
A state/event fault tree(SEFT)is a modeling technique for describing the causal chains of events leading to failure in software-controlled complex systems.Such systems are ubiquitous in all areas of everyday life,and ... A state/event fault tree(SEFT)is a modeling technique for describing the causal chains of events leading to failure in software-controlled complex systems.Such systems are ubiquitous in all areas of everyday life,and safety and reliability analyses are increasingly required for these systems.SEFTs combine elements from the traditional fault tree with elements from state-based techniques.In the context of the real-time safety-critical systems,SEFTs do not describe the time properties and important timedependent system behaviors that can lead to system failures.Further,SEFTs lack the precise semantics required for formally modeling time behaviors.In this paper,we present a qualitative analysis method for SEFTs based on transformation from SEFT to timed automata(TA),and use the model checker UPPAAL to verify system requirements’properties.The combination of SEFT and TA is an important step towards an integrated design and verification process for real-time safety-critical systems.Finally,we present a case study of a powerboat autopilot system to confirm our method is viable and valid after achieving the verification goal step by step. 展开更多
关键词 state/event fault tree (SEFT) TIMED AUTOMATA (TA) model transformation safety analysis
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Methodology for reliability allocation based on fault tree analysis and dualistic contrast 被引量:4
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作者 TONG Lili CAO Xuewu 《Nuclear Science and Techniques》 SCIE CAS CSCD 2008年第4期251-256,共6页
Reliability allocation is a difficult multi-objective optimization problem. This paper presents a methodology for reliability allocation that can be applied to determine the reliability characteristics of reactor syst... Reliability allocation is a difficult multi-objective optimization problem. This paper presents a methodology for reliability allocation that can be applied to determine the reliability characteristics of reactor systems or subsystems. The dualistic contrast,known as one of the most powerful tools for optimization problems,is applied to the reliability allocation model of a typical system in this article. And the fault tree analysis,deemed to be one of the effective methods of reliability analysis,is also adopted. Thus a failure rate allocation model based on the fault tree analysis and dualistic contrast is achieved. An application on the emergency diesel generator in the nuclear power plant is given to illustrate the proposed method. 展开更多
关键词 反应堆 安全事故 维修方法 核技术
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Fault Tree Analysis of Feeding Control System for Computer Numerical Control Heavy-Duty Horizontal Lathes with Multiple Common Cause Failure Groups 被引量:2
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作者 米金华 李彦锋 +2 位作者 彭卫文 杨圆鉴 黄洪钟 《Journal of Shanghai Jiaotong university(Science)》 EI 2016年第4期504-508,共5页
The lathes are basic machine tools for manufacturing cylindrical parts. In recent years, the DLseries computer numerical control(CNC) heavy-duty horizontal lathes(HDHLs) have been widely used in the transportation, en... The lathes are basic machine tools for manufacturing cylindrical parts. In recent years, the DLseries computer numerical control(CNC) heavy-duty horizontal lathes(HDHLs) have been widely used in the transportation, energy and aviation industries. High availability of the CNC heavy-duty lathes is demanded to guarantee the efficiency and benefit of these manufacturing industries. As one of the key subsystems of the HDHLs, the feeding control system is studied in this paper on reliability modeling and reliability analysis. The fault tree analysis(FTA) method is used for reliability modelling of the feeding control system. Considering the multiple common cause failure groups(CCFGs) existing in the system, a modified beta factor parametric model is introduced to model the common cause failure(CCF) in system. The reliability of feeding control system is then obtained and the effect of CCF on the reliability of the whole system is studied as well. 展开更多
关键词 fault tree analysis (FTA) feeding control system heavy-duty horizontal lathes (HDHLs) common cause failure groups (CCFGs) modified beta factor model
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Reliability Analysis of Electrical System of CNC Machine Tool Based on Dynamic Fault Tree Analysis Method 被引量:2
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作者 晏晶 尹珩苏 +2 位作者 周杰 李彦锋 黄洪钟 《Journal of Donghua University(English Edition)》 EI CAS 2015年第6期1042-1046,共5页
The electrical system of CNC machine tool is very complex which involves many uncertain factors and dynamic stochastic characteristics when failure occurs.Therefore,the traditional system reliability analysis method,f... The electrical system of CNC machine tool is very complex which involves many uncertain factors and dynamic stochastic characteristics when failure occurs.Therefore,the traditional system reliability analysis method,fault tree analysis(FTA)method,based on static logic and static failure mechanism is no longer applicable for dynamic systems reliability analysis.Dynamic fault tree(DFT)analysis method can solve this problem effectively.In this method,DFT first should be pretreated to get a simplified fault tree(FT);then the FT was modularized to get the independent static subtrees and dynamic subtrees.Binary decision diagram(BDD)analysis method was used to analyze static subtrees,while an approximation algorithm was used to deal with dynamic subtrees.When the scale of each subtree is smaller than the system scale,the analysis efficiency can be improved significantly.At last,the usefulness of this DFT analysis method was proved by applying it to analyzing the reliability of electrical system. 展开更多
关键词 RELIABILITY dynamic fault tree MODULARIZATION binary decision diagram approximation algorithm CNC machine tool
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