Reliability Analysis on Structral Systems with

Load Dependency

ZHOU Jinyu¹  XIE Liyang²  QIAN Wenxue²

(1. School of Mechanical Engineering, Jiangsu Teacher’s University of Technology, Changzhou 213001;
2. School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110004)

Abstract: In the light of components failure dependency in structural systems, effects of the common load and components strengths stochastic characteristics upon components failure dependency are described. And the mechanism of the common load giving rise to elements failure dependency whereas strengths of components are independent is studied. For parallel, series and r-out-of-n systems made up of identically distributed components with total load dependency, a feasible approach to system reliability estimation considering failure dependency due to the common environment load is developed. By means of orthonormalization of variables, the calculation can be simplified when the covariance matrix of safety margin variables is figured out, which can give more valuable information to reliability design and optimization.

Key words: Reliability  Structural system  Load dependency  Common cause failure  Correlative coefficient

CLC No: TH122 TB114.3

国家自然科学基金(50275025)和江苏技术师范学院基础及应用基础研究基金资助项目. Received 20070519, received in revised form 20071229

References

[1] XIE Liyang, ZHOU Jinyu, LI Cuiling. Common cause failure analysis and discretely modeling for system probability prediction[J]. Chinese Journal of Mechanical Engineering, 2006, 42(1): 62-68.
[2] ZHOU Jinyu, XIE Liyang, WANG Xuemin. Analysis for dependency of common cause failure and probability prediction in redundant structral systems[J]. Chinese Journal of Mechanical Engineering, 2005, 41(5): 44-48.
[3] XIE L Y, ZHOU J Y. 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.
[4] ZHOU J Y, XIE L Y. Analysis for fractional-class common cause failure and reliability in multi-state systems[J]. The 11th international conference on industrial engineering and engineering management, 2005,4: 896-900.
[5] ZHANG Yimin, WANG Shun, LIU Qiaoling, et al. Reliability analysis of multi-degree-of-freedom nonlinear random structure vibration systems with correlation failure modes[J]. Science in China (Series E), 2003, 33(9): 804-812.
[6] VAURIO J K. Common cause failure models, data, quantification[J]. IEEE Trans. on Reliability, 1999, 48: 213-214.
[7] MOSLEH A. Common cause failure: an analysis methodology and examples[J]. Reliability Engineering and System Safety, 1991, 34: 249-292.
[8] LEVITIN G. Incorporating common-cause failure into non-repairable multi-state series-parallel system[J]. IEEE Trans. on Reliability, 2001, 50(4): 380-388.
[9] ATWOOD C L. The binomial failure rate common cause model[J]∙ Techno. Metrics, 1986, 28(2): 139-148.
[10] GUPTA R C. Reliability of a k-our-of-n syetem of components sharing a common environment[J]. Applied Mathematics Letters, 2002, 15: 837-844.
[11] HUGHES R P. A new approach to common cause failure[J]. Reliability Engineering, 1987,17: 211-236.
[12] SALEM A M. Reliability of systems subject to common- cause hazards[J]. Nuclear Engineering and Design, 2004, 227: 349-354.
[13] CHARLESWORTH W W, RAO S S. Reliability analysis of continuous mechanical systems using mutistate fault trees[J]. Reliability Engineering and System Safety, 1992, 37: 195-206.
[14] LEVITIN G. A new approach to solving problems of multi-state system reliability optimization[J]. Quality and Reliability Engineering International, 2001, 17(2): 93-104.