A new reliability analysis method for load-sharing k-out-of-n: F system based on load-strength model

Abstract The traditional reliability analysis method for the load-sharing system is mainly based on the component failure rate and assumed lifetime distribution. However, the relationship between the component failure rate and component load is difficult to determine since the time-varying failure rates and corresponding load samples have to be measured. Therefore, we propose a new reliability analysis method for the load-sharing k-out-of-n: F system based on the load-strength model, which also considers the correlation between the load and strength. The main idea of the proposed method lies in the distribution variation of the component load which can directly reflect the load-sharing effect since the load is the basic variable in the load-strength model. The results of a numerical case show that the load-sharing effect and the correlation between the load and strength have significant influences on the system reliability. Furthermore, a practical case is given to demonstrate the availability of the proposed method compared with the traditional method.

[1]  Narayanaswamy Balakrishnan,et al.  Accelerated Degradation Analysis for the Quality of a System Based on the Gamma Process , 2015, IEEE Transactions on Reliability.

[2]  Andrew J. Patton.  Modelling Asymmetric Exchange Rate Dependence , 2006 .

[3]  Jie Zhang,et al.  Reliability Evaluation of a Load-sharing Parallel System with Failure Dependence , 2016, Commun. Stat. Simul. Comput..

[4]  Han Ping Hong,et al.  ASSESSMENT OF RELIABILITY OF AGING REINFORCED CONCRETE STRUCTURES , 2000 .

[5]  Yaonan Kong,et al.  A Cumulative-Exposure-Based Algorithm for Failure Data From a Load-Sharing System , 2016, IEEE Transactions on Reliability.

[6]  M. Vázquez,et al.  Photovoltaic module reliability model based on field degradation studies , 2008 .

[7]  Wei Huang,et al.  A generalized SSI reliability model considering stochastic loading and strength aging degradation , 2004, IEEE Transactions on Reliability.

[8]  Qiang Xu,et al.  Lifetime Reliability for Load-Sharing Redundant Systems With Arbitrary Failure Distributions , 2010, IEEE Transactions on Reliability.

[9]  Lesley Walls,et al.  A Load Sharing System Reliability Model With Managed Component Degradation , 2014, IEEE Transactions on Reliability.

[10]  Carlos Algora,et al.  III‐V concentrator solar cell reliability prediction based on quantitative LED reliability data , 2007 .

[11]  Loon Ching Tang,et al.  Accelerated Degradation Test Planning Using the Inverse Gaussian Process , 2014, IEEE Transactions on Reliability.

[12]  Kaung-Hwa Chen,et al.  A multivariant exponential shared-load model , 1993 .

[13]  C. Atwood.  The binomial failure rate common cause model , 1986 .

[14]  Way Kuo,et al.  Reliability modeling and preventive maintenance of load-sharing systemswith degrading components , 2016 .

[15]  Suk Joo Bae,et al.  Degradation models and implied lifetime distributions , 2007, Reliab. Eng. Syst. Saf..

[16]  E. M. Scheuer,et al.  Reliability of an m-out of-n system when component failure induces higher failure rates in survivors , 1988 .

[17]  Masanobu Shinozuka,et al.  The Analysis of Structural Safety , 1964 .

[18]  Bruce R. Ellingwood,et al.  Reliability-Based Service-Life Assessment of Aging Concrete Structures , 1993 .

[19]  R. Nelsen.  An Introduction to Copulas (Springer Series in Statistics) , 2006 .

[20]  Haijian Xue,et al.  Accelerated Degradation Tests Modeling Based on the Nonlinear Wiener Process with Random Effects , 2014 .

[21]  Dingguo Hua,et al.  Reliability estimation of load sharing capacity-c-out-of-n pairs:G Balanced system , 2015, 2015 Prognostics and System Health Management Conference (PHM).

[22]  Yu Zhao,et al.  Hybrid preventive maintenance of competing failures under random environment , 2018, Reliab. Eng. Syst. Saf..

[23]  E. Peña,et al.  Estimating Load-Sharing Properties in a Dynamic Reliability System , 2005, Journal of the American Statistical Association.

[24]  L. Lamberson,et al.  Modeling a shared-load k-out-of-n:G system , 1991 .

[25]  Chanseok Park,et al.  Parameter estimation for the reliability of load-sharing systems , 2010 .

[26]  Thierry Roncalli,et al.  Which Copula is the Right One? , 2000 .

[27]  Nalini Ravishanker,et al.  Reliability modelling incorporating load share and frailty , 2018 .

[28]  Shengkui Zeng,et al.  Reliability Analysis of Load-Sharing Systems Subject to Dependent Degradation Processes and Random Shocks , 2017, IEEE Access.

[29]  Huamin Liu.  Reliability of a load-sharing k-out-of-n:G system: non-iid components with arbitrary distributions , 1998 .

[30]  Pham Hoang,et al.  Tampered Failure Rate Load-Sharing Systems: Status and Perspectives , 2008 .

[31]  Yu Zhao,et al.  A Stress-Strength Time-Varying Correlation Interference Model for Structural Reliability Analysis Using Copulas , 2017, IEEE Transactions on Reliability.

[32]  Quanwang Li,et al.  Time-dependent reliability of aging structures in the presence of non-stationary loads and degradation , 2015 .

[33]  M. Zuo,et al.  Optimal Reliability Modeling: Principles and Applications , 2002 .

[34]  Shengkui Zeng,et al.  Reliability Analysis of Load-Sharing K-out-of-N System Considering Component Degradation , 2015 .