可修复的k/n表决系统的可靠性分析

doi:10.3969/j.issn.1001-2400.2014.05.030

J4 ›› 2014, Vol. 41 ›› Issue (5): 180-184+206.doi: 10.3969/j.issn.1001-2400.2014.05.030

可修复的k/n表决系统的可靠性分析

方永锋^1,2;陈建军²;曹鸿钧²

(1. 毕节学院机械工程学院，贵州毕节 551700；
2. 西安电子科技大学电子装备结构设计教育部重点实验室，陕西西安 710071)

收稿日期:2013-05-16 出版日期:2014-10-20 发布日期:2014-11-27
通讯作者: 方永锋
作者简介:方永锋(1975-) ，男，副教授，博士， E-mail: fangyf_9707@126.com．
基金资助:
国家自然科学基金资助项目(50905134)；中央高校基本科研基金资助项目(JY10000904012)

Analysis of dynamic reliability of the repairable k-out-of-n system under several times random shocks

FANG Yongfeng^1,2;CHEN Jianjun²;CAO Hongjun²

(1. School of Mechanical Engineering, Bijie University, Bijie 551700, China;
2. Ministry of Education Key Lab. of Electronic Equipment Structure, Xidian Univ., Xi'an 710071, China)

Received:2013-05-16 Online:2014-10-20 Published:2014-11-27
Contact: FANG Yongfeng

摘要/Abstract

摘要：

根据强度-应力干涉理论，给出了k/n表决系统的单元在多次随机作用下且单元抗力退化情况下的动态可靠性指标计算模型，由可靠性指标求得单元的动态失效概率．根据单元的动态失效概率，给出了在多次随机外部作用下，单元失效数目变化的概率，再由可修复k/n系统所具有的马尔可夫性质，给出了在多次随机外部作用下的可修复k/n系统的转移概率，由转移概率获得概率密度矩阵，通过求解微分方程组计算出系统的动态可靠度．最后通过算例说明该方法方便易行，计算结果符合工程实际．

关键词: 随机作用, 可修复, k/n系统, 动态, 可靠性

Abstract:

The model of unit dynamic reliability of the reparable k-out-of-n system is given under several times random shocks with the strength of unit degradation according to the strength-stress theory and the unit failure probability can be observed by using the dynamic reliability. The unit failure number can be obtained under several times random shocks according to the unit failure probability. The conversion probability of the reparable k-out-of-n system is given by its Markov property under several random shocks. The probability density matrix is observed by the conversion probability, and then the dynamic reliability of the reparable k-out-of-n system is obtained by solving the differential equation systems. Finally, it is illustrated that the method is prachcable and convenient. The calculated result conforms to the engineering practice.

Key words: random shock, reparable, k-out-of-n system, dynamic, reliability

方永锋;陈建军;曹鸿钧. 可修复的k/n表决系统的可靠性分析[J]. J4, 2014, 41(5): 180-184+206.

FANG Yongfeng;CHEN Jianjun;CAO Hongjun. Analysis of dynamic reliability of the repairable k-out-of-n system under several times random shocks[J]. J4, 2014, 41(5): 180-184+206.

参考文献

［1］张义民. 任意分布参数的机械零件的可靠性灵敏度设计［J］. 机械工程学报, 2004, 40(8): 100-105.
Zhang Yimin. Reliability Sensitivity Design for Mechanical Elements with Arbitrary Distribution Parameters［J］. Chinese Journal of Mechanical Engineering, 2004, 40(8): 100-105.
［2］ Roy D, Dasgupta T. A Discretizing Approach for Evaluating Reliability of Complex Systems under Stress-strength Model［J］. IEEE Transactions on Reliability, 2001, 50(2): 145-150.
［3］ Yao Chengyu, Zhao Jingyi. Reliability-based Design and Analysis on Hydraulic System for Synthetic Rubber Press［J］. Chinese Journal of Mechanical Engineering, 2005, 18(2): 159-162.
［4］ Sun Youchao, Shi Jun. Reliability Assessment of Entropy Method for System Consisted of Identical Exponential Units［J］. Chinese Journal of Mechanical Engineering, 2004, 17(4): 502-506.
［5］ Krishnan R, Somasundaram S. Reliability Analysis of Repairable Consecutive-k-out-of-n: G Systems with Sensor and Repairmen［J］. International Journal of Quality ＆ Reliability Management, 2011, 28(8): 894-908.
［6］ Utkin L V. Reliability Models of m-out of-n System under Incomplete Information［J］. Computer and Operation Research. 2004, 31(10): 1681-1702.
［7］ Xie Liyang, Zhou Jinyu, Hao Changzhong. System-level Load-strength Interference Based Reliability Modeling of k-out-of-n System［J］.Reliability Engineering and System Safety, 2004, 84(3): 311-317.
［8］王正, 康锐, 谢里阳. 以载荷作用次数为寿命指标的失效相关系统可靠性建模［J］. 机械工程学报, 2010, 46(6): 188-194.
Wang Zheng, Kang Rui, Xie Liyang. Reliability Modeling of Systems with Depaendent Failure When the Life Measured by the Number Of Loading［J］. Journal of Mechanical Engineering, 2010, 46(6): 188-194.
［9］方永锋, 陈建军, 阎彬, 等. 结构动态非概率可靠性预测模型［J］. 西安电子科技大学学报, 2012, 39(6): 170-175.
Fang Yongfeng, Chen Jianjun, Yan Bin, et al. Model for Prediction of Structural Dynamic Non-probabilistic Reliability［J］. Journal of Xidian University, 2012, 39(6): 170-175.
［10］ Lewis E E. A Load-capacity Interference Model for Common-mode Failures in 1-out-of-2: G Systems［J］. IEEE Transactions on Reliability, 2001, 50(1): 47-51.
［11］聂涛, 盛文. K/N系统可修复备件两级供应保障优化研究［J］. 系统工程与电子技术, 2010, 32(7): 1452-1457.
Nie Tao, Sheng Wen. Research on Two Echelon Supply Support Optimizing for Repairable Spare Parts of K/N System［J］. Systems Engineering and Electronics, 2010, 32(7): 1452-1457.
［12］ Xu Houbao, Guo Weihui, Yu Jingyuan, et al. Asymptotic Stability of k-out-of n: G Redundant System［J］. Acta Analysis Fanctionalis Applicata, 2004, 6(3): 209-219.
［13］杨莹, 李俊民, 陈国培. 一类广义混杂系统的随机稳定性及稳定化［J］. 西安电子科技大学学报, 2010, 37(5): 866-871.
Yang Ying, Li Junmin, Chen Guopei. Stochastic Stability and Stabilization for a Class of Singular Hybrid Systems［J］. Journal of Xidian University, 2010, 37(5): 866-871.
［14］ Schaff J R, Davidson B D. Life Prediction Methodology for Composite Structures［J］. Journal of Composite Materials, 1997, 31(2): 127-157.

[1]	赵辉,冯南之,王泉,万波,王静. 面向边缘计算平台的半线上任务动态调度方法[J]. 西安电子科技大学学报, 2021, 48(6): 8-15.
[2]	张佳琦,陶海红,张修社,韩春雷. 一种利用量测空间聚类的多帧检测前跟踪算法[J]. 西安电子科技大学学报, 2021, 48(5): 231-238.
[3]	张飞,马时平,张立朝,何林远,仇祝令,韩永赛. 空间可靠性和相关滤波器联合学习的跟踪算法[J]. 西安电子科技大学学报, 2021, 48(5): 167-177.
[4]	刘宏,徐乐,田彤. 用于X射线探测的多通道电荷读出芯片[J]. 西安电子科技大学学报, 2021, 48(4): 97-102.
[5]	聂世强,郑旭达,刘钊华,伍卫国,董小社,张兴军. 非MDS码存储系统的通用可靠性模型[J]. 西安电子科技大学学报, 2021, 48(4): 113-119.
[6]	梅淑琳,贾海蓉,王晓刚,武奕峰. 动态特征联合新掩模优化神经网络语音增强[J]. 西安电子科技大学学报, 2021, 48(3): 91-98.
[7]	李涵,张晨,黄荷姣,郭宇. 一种支持前向安全更新和验证的加密搜索算法[J]. 西安电子科技大学学报, 2020, 47(5): 48-56.
[8]	司成祥,高峰,祝烈煌,巩国鹏,张璨,陈卓,李锐光. 一种支持动态标签的区块链数据隐蔽传输机制[J]. 西安电子科技大学学报, 2020, 47(5): 94-102.
[9]	卢万杰,蓝朝桢,吕亮,施群山,徐青. 一种空间目标轨道状态动态推理方法[J]. 西安电子科技大学学报, 2020, 47(3): 72-79.
[10]	贾鼎成,王磊磊,高薇. 三维集成电路中内存的经时击穿分析与检测[J]. 西安电子科技大学学报, 2019, 46(4): 182-189.
[11]	陈矗. RFCcertDT:SSL/TLS中证书验证的测试工具[J]. 西安电子科技大学学报, 2019, 46(3): 20-25.
[12]	王祥旭,车书玲,纪玉晖. 一种有效的局部可修复码的构造方法[J]. 西安电子科技大学学报, 2019, 46(3): 26-31.
[13]	毕城,王玲琳,刘永信. 参数自适应动态贝叶斯舰船态势估计算法[J]. 西安电子科技大学学报, 2019, 46(2): 158-163.
[14]	段钊, 刘锟龙. 采用CPAChecker的动态程序验证[J]. 西安电子科技大学学报, 2019, 46(1): 33-38.
[15]	齐小刚, 马久龙, 刘立芳. 保证高可靠度和低传输开销的DTN拓扑控制[J]. 西安电子科技大学学报, 2018, 45(5): 7-12.

可修复的k/n表决系统的可靠性分析

Analysis of dynamic reliability of the repairable k-out-of-n system under several times random shocks

PDF (PC)

赞

可视化

被引次数

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

Metrics

本文评价

推荐阅读 0