Derivation of Reliability Index Vector Formula for Series System and Its Application

• Published in: China ocean engineering Vol. 27; no. 2; pp. 159 - 168
• Main Authors: Kang, Hai-gui, Zhang, Jing, Sun, Ying-wei, Guo, Wei
• Format: Journal Article
• Language: English
• Published: Heidelberg Chinese Ocean Engineering Society 01.04.2013; State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China
• Subjects: Coastal Sciences; Derivation; Engineering; Equivalence; Failure modes; Fluid- and Aerodynamics; Marine; Marine & Freshwater Sciences; Mathematical analysis; Mathematical models; Numerical and Computational Physics; Oceanography; Offshore Engineering; Offshore structures; Series (mathematics); Simulation; Vectors (mathematics); 串联系统; 公式; 可靠性指数; 可靠性指标; 可靠性计算; 应用; 故障模式; 矢量; equivalent failure mode; series system; reliability index vector; correlation coefficient
• ISSN: 0890-5487; 2191-8945
• DOI: 10.1007/s13344-013-0014-z

In this study, a reliability index vector formula is proposed for series system with two failure modes in term of the concept of reliability index vector and equivalent failure modes. Firstly, the reliability index vector is introduced to determine the correlation coefficient between two failure modes, and then, the reliability index vector of a series system can be obtained. Several numerical cases and an analysis on offshore platform are performed, and the results show that this scheme provided here has better computational accuracy, and its calculation process is simpler for the series systems reliability calculations compared with the other methods. Also this scheme is more convenient for the engineering applications.