可靠性工程中的重要度分析
發(fā)布時間：2018-08-13 10:57
【摘要】：重要度分析是進行系統(tǒng)可靠性分析的關鍵環(huán)節(jié)之一，用于定量分析系統(tǒng)中組件對系統(tǒng)影響的重要程度。它是融合了靈敏度、風險性、危害度和重要性等多類知識的前沿和熱點研究領域之一，同時也是一種確定系統(tǒng)薄弱環(huán)節(jié)和提高系統(tǒng)可靠度的有力工具，對提高系統(tǒng)可靠性、安全性和進行故障診斷具有積極的意義。當前，對于重要度的分析尚缺乏全面深入的研究，僅僅作為可靠性工程中的一個概念，而沒有獨立全面的研究。這種局限于單一性的重要性研究可能會導致對系統(tǒng)的分析不夠深入。本文嘗試以數(shù)控沖床模具子系統(tǒng)和供油子系統(tǒng)的可靠性分析為研究對象，以重要度分析為主線，結合二元決策圖BDD、多元決策圖MDD、邏輯微分學以及馬爾可夫隨機過程等方法，研究二態(tài)系統(tǒng)和多狀態(tài)系統(tǒng)組件的重要度，以期為進行系統(tǒng)可靠性評定、壽命預測和故障診斷與預防提供新思路和新方法，對豐富和完善現(xiàn)有的可靠性理論和方法起到一定的積極作用。本文主要研究內容如下： (1)提出基于二元決策圖(BDD)的二態(tài)系統(tǒng)重要度分析方法。采用BDD來表示二態(tài)系統(tǒng)的結構函數(shù)，以布爾定律為依據(jù)，推理出BDD的算法規(guī)則，并在此基礎上分析基于BDD的概率路徑搜索以及可靠性的計算方法。利用遞歸原理實現(xiàn)由故障樹(FT)向BDD的轉化，由BDD代替FT來進行二態(tài)系統(tǒng)的組件重要度分析，解決當前FT法所面臨的計算量大、結果不精確以及組合爆炸問題，為重要度的計算提供了一種高效精確的方法。 (2)提出基于多元決策圖(MDD)的多狀態(tài)系統(tǒng)重要度分析方法。對上述所建立的BDD模型進行拓展，，研究能表示多狀態(tài)系統(tǒng)結構函數(shù)的多元決策圖(MDD)，并結合邏輯微分學中的直接邏輯偏導數(shù)(DPLD)，對多狀態(tài)系統(tǒng)的可靠性框圖(RBD)進行模型轉換。將MDD與DPLD理論引入到多狀態(tài)組件重要度分析中，解決傳統(tǒng)上行法和下行法等路集分析法的不足，使模型建立所耗費的時間短、計算直觀簡便。 (3)提出基于性能水平的多狀態(tài)系統(tǒng)可靠性分析方法�？紤]到組件的工作性能需求可能會因季節(jié)氣候或者載荷的變化而不同，提出采用性能水平來分析組件對系統(tǒng)的重要程度。探討組件性能隨機性與馬爾可夫離散隨機過程之間的關系，用一個給定的性能水平對原始系統(tǒng)進行劃分以建立起新的子系統(tǒng)，分析在給定性能水平下的組件重要度。表明在不同的性能水平下組件狀態(tài)的重要性也不同，為系統(tǒng)檢測及維修提供了一個更貼近實際工況的參考依據(jù)。
[Abstract]:Importance analysis is one of the key links in system reliability analysis, which is used to quantitatively analyze the importance of components in the system. It is one of the leading and hot research fields which combines sensitivity, risk, hazard and importance, and it is also a powerful tool to determine the weak links of the system and to improve the reliability of the system. Safety and fault diagnosis have positive significance. At present, the importance of the analysis of the lack of comprehensive and in-depth research, only as a concept of reliability engineering, and no independent comprehensive research. This study of the importance of singularity may lead to a lack of in-depth analysis of the system. This paper attempts to take the reliability analysis of the die subsystem and oil supply subsystem of NC punching machine as the research object, take the importance analysis as the main line, combine the binary decision diagram BDDD, the multivariate decision diagram MDD, the logic differentiator and the Markov stochastic process, etc. The importance of two-state and multi-state system components is studied in order to provide new ideas and methods for system reliability evaluation, life prediction, fault diagnosis and prevention, To enrich and improve the existing reliability theory and methods play a positive role. The main contents of this paper are as follows: (1) A two-state system importance analysis method based on binary decision graph (BDD) is proposed. The structure function of two-state system is represented by BDD. Based on Boolean law, the algorithm rules of BDD are deduced. On this basis, the probabilistic path search based on BDD and the calculation method of reliability are analyzed. The transformation from fault tree (FT) to BDD is realized by recursion principle, and the component importance analysis of two-state system is carried out by BDD instead of FT, which solves the problems of large computation, inaccurate results and combined explosion in the current FT method. It provides an efficient and accurate method for the calculation of importance degree. (2) the importance analysis method of multi-state system based on multivariate decision graph (MDD) is proposed. In this paper, the BDD model is extended to study the multivariate decision graph (MDD), which can express the structural function of the multistate system, and the model transformation of the reliability block diagram (RBD) of the multistate system with the direct logical partial derivative (DPLD), in the logic differentiator. The theory of MDD and DPLD is introduced into the importance analysis of multi-state components to solve the shortcomings of traditional uplink method and downlink method, so that the time spent on modeling is short. (3) A multi-state system reliability analysis method based on performance level is proposed. Considering that the performance requirements of components may vary according to the seasonal climate or load, it is proposed that the performance level be used to analyze the importance of components to the system. The relationship between component performance randomness and Markov discrete stochastic process is discussed. The original system is partitioned with a given performance level to establish a new subsystem, and the component importance at a given performance level is analyzed. It is shown that the importance of component state is different at different performance levels, which provides a reference basis for system detection and maintenance.
【學位授予單位】：江西理工大學
【學位級別】：碩士
【學位授予年份】：2014
【分類號】：TB114.3
本文編號：2180768
[Abstract]:Importance analysis is one of the key links in system reliability analysis, which is used to quantitatively analyze the importance of components in the system. It is one of the leading and hot research fields which combines sensitivity, risk, hazard and importance, and it is also a powerful tool to determine the weak links of the system and to improve the reliability of the system. Safety and fault diagnosis have positive significance. At present, the importance of the analysis of the lack of comprehensive and in-depth research, only as a concept of reliability engineering, and no independent comprehensive research. This study of the importance of singularity may lead to a lack of in-depth analysis of the system. This paper attempts to take the reliability analysis of the die subsystem and oil supply subsystem of NC punching machine as the research object, take the importance analysis as the main line, combine the binary decision diagram BDDD, the multivariate decision diagram MDD, the logic differentiator and the Markov stochastic process, etc. The importance of two-state and multi-state system components is studied in order to provide new ideas and methods for system reliability evaluation, life prediction, fault diagnosis and prevention, To enrich and improve the existing reliability theory and methods play a positive role. The main contents of this paper are as follows: (1) A two-state system importance analysis method based on binary decision graph (BDD) is proposed. The structure function of two-state system is represented by BDD. Based on Boolean law, the algorithm rules of BDD are deduced. On this basis, the probabilistic path search based on BDD and the calculation method of reliability are analyzed. The transformation from fault tree (FT) to BDD is realized by recursion principle, and the component importance analysis of two-state system is carried out by BDD instead of FT, which solves the problems of large computation, inaccurate results and combined explosion in the current FT method. It provides an efficient and accurate method for the calculation of importance degree. (2) the importance analysis method of multi-state system based on multivariate decision graph (MDD) is proposed. In this paper, the BDD model is extended to study the multivariate decision graph (MDD), which can express the structural function of the multistate system, and the model transformation of the reliability block diagram (RBD) of the multistate system with the direct logical partial derivative (DPLD), in the logic differentiator. The theory of MDD and DPLD is introduced into the importance analysis of multi-state components to solve the shortcomings of traditional uplink method and downlink method, so that the time spent on modeling is short. (3) A multi-state system reliability analysis method based on performance level is proposed. Considering that the performance requirements of components may vary according to the seasonal climate or load, it is proposed that the performance level be used to analyze the importance of components to the system. The relationship between component performance randomness and Markov discrete stochastic process is discussed. The original system is partitioned with a given performance level to establish a new subsystem, and the component importance at a given performance level is analyzed. It is shown that the importance of component state is different at different performance levels, which provides a reference basis for system detection and maintenance.
【學位授予單位】：江西理工大學
【學位級別】：碩士
【學位授予年份】：2014
【分類號】：TB114.3
【參考文獻】
相關期刊論文 前9條
1 田宏,陳寶智,吳穹,高永庭;多態(tài)系統(tǒng)可靠性及元素的不確定性重要度[J];東北大學學報;2000年06期
2 畢衛(wèi)星;郭成宇;;提高重要度的兼容性算法——聯(lián)合關鍵重要度[J];大連交通大學學報;2010年05期
3 孫紅梅;高齊圣;樸營國;;關于故障樹分析中幾種典型重要度的研究[J];電子產品可靠性與環(huán)境試驗;2007年02期
4 王海濤;吳宜燦;李亞洲;胡麗琴;FDS團隊;;核電站實時風險管理系統(tǒng)部件重要度計算方法研究[J];核科學與工程;2008年01期
5 姚成玉;張熒驛;陳東寧;王旭峰;;T-S模糊重要度分析方法研究[J];機械工程學報;2011年12期
6 史定華;單元的重要度及其計算[J];科學通報;1984年06期
7 楊林娟;沈士明;;基于粗糙集理論的故障樹重要度分析[J];南京工業(yè)大學學報(自然科學版);2007年01期
8 張英芝;鄭珊;申桂香;鄭銳;谷東偉;牛序磊;;采用重要度和模糊推理的數(shù)控刀架危害性分析[J];吉林大學學報(工學版);2012年05期
9 古瑩奎;邱光琦;儲茜;;多狀態(tài)串并聯(lián)系統(tǒng)工作性能及其狀態(tài)概率分析[J];江西理工大學學報;2013年03期
本文編號：2180768
本文鏈接：http://www.sikaile.net/guanlilunwen/gongchengguanli/2180768.html
