Abstract
Many mechanical systems have the characteristics of multiple failure modes and complex failure mechanisms. On the basis of stress-strength interference (SSI) model, this paper takes the mechanical system with common cause failure (CCF) as the research object. The relationship between the stress distribution and the strength distribution is studied, and the failures of components are independent of each other under the deterministic stress. Then, the concept of conditional reliability is introduced to build the system reliability models under the action of one-stress and multi-stress for both series and parallel systems. Finally, the corresponding properties of the proposed methods are discussed to show their advantages.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
VAURIO J K. Extensions of the uncertainty quantification of common cause failure rates [J]. Reliability Engineering and System Safety, 2002, 78(1): 63–69.
MO Y C, XING L D. An enhanced decision diagram-based method for common-cause failure analysis [J]. Journal of Risk and Reliability, 2013, 227(5): 557–566.
MI J H, LI Y F, PENG W W, et al. Fault tree analysis of feeding control system for computer numerical control heavy-duty horizontal lathes with multiple common cause failure groups [J]. Journal of Shanghai Jiao Tong University (Science), 2016, 21(4): 504–508.
BILIKAM J E. Some stochastic stress-strength processes [J]. IEEE Transactions on Reliability, 1985, 34(3): 269–274.
AN Z W, HUANG H Z, LIU Y. A discrete stress-strength interference model based on universal generating function [J]. Reliability Engineering and System Safety, 2008, 93(10): 1485–1490.
HUANG H Z, AN Z W. A discrete stress-strength interference model with stress dependent strength [J]. IEEE Transactions on Reliability, 2009, 58(1): 118–122.
LIU B, AN Z W, KOU H X. Wind turbine gearbox reliability analysis based on the system level stress-strength model [J]. Journal of Shanghai Jiao Tong University (Science), 2016, 21(4): 484–488.
RAUSAND M, HØYLAND A. System reliability theory: Models, statistical methods, and applications [M]. Hoboken, USA: John Wiley & Sons, 2004.
Author information
Authors and Affiliations
Corresponding author
Additional information
Foundation item: the National Natural Science Foundation of China (Nos. 71771186 and 71471147), the 111 Project (No. B13044), and the Basic Research Foundation of Northwestern Polytechnical University (No. 3102014JCS05013)
Rights and permissions
About this article
Cite this article
Zhang, S., Lü, R., Si, S. et al. Reliability Analysis of Systems with Common Cause Failure Based on Stress-Strength Interference Model. J. Shanghai Jiaotong Univ. (Sci.) 23, 707–710 (2018). https://doi.org/10.1007/s12204-018-1968-z
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12204-018-1968-z