Failure correlation reliability analysis of solid rocket motor grain based on polynomial chaos expansion
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DOI 10.1007/s12206-020-0710-6
Journal of Mechanical Science and Technology 34 (8) 2020 Original Article DOI 10.1007/s12206-020-0710-6 Keywords: · Solid rocket motor grain · Reliability analysis · Polynomial chaos expansion · Copula function
Failure correlation reliability analysis of solid rocket motor grain based on polynomial chaos expansion Yangtian Li1,2, Haibin Li2 and Guangmei Wei2 1
Correspondence to: Haibin Li [email protected]
Citation: Li, Y., Li, H., Wei, G. (2020). Failure correlation reliability analysis of solid rocket motor grain based on polynomial chaos expansion. Journal of Mechanical Science and Technology 34 (8) (2020) ?~?. http://doi.org/10.1007/s12206-020-0710-6
College of Statistics and Mathematics, Inner Mongolia University of Finance and Economics, Hohhot, 2 Inner Mongolia 010070, China, College of Science, Inner Mongolia University of Technology, Hohhot, Inner Mongolia 010051, China
Abstract
Polynomial chaos expansion (PCE) method has better fitting capacity and rate of convergence than other traditional reliability analysis methods. This paper presents the failure correlation reliability analysis based on PCE for improving calculation precision and reducing computational cost. An example of solid rocket motor grain solidification and cooling is analyzed, and the failure correlation reliability between inner surface crack and insulation layer debonding is studied. Results show that an accurate failure correlation reliability analysis result can be obtained by proposed method, and the precision and efficiency of the proposed method are verified by comparing it with traditional methods.
Received August 18th, 2019 Revised
February 28th, 2020
Accepted May 16th, 2020
1. Introduction
† Recommended by Editor Chongdu Cho
Correlation failure generally consists of three failure modes: common cause, dependent, and common mode. Among them, the common cause failure is the major research topic in failure correlation [1, 2]. Li et al. [3] studied the influence of copula function to the reliability of the structural system [4]. Zhou et al. [5] introduced copula function into structure system reliability analysis and discussed the idea and methods to realize reliability modeling of symmetric structure system using copula function. He et al. [6] proposed a copula method to estimate the importance indices for the nested hybrid structural systems. However, structural reliability is seldom computed based on metamodel method with large cost and low calculation precision during traditional failure correlation reliability analysis. This paper presents a failure correlation reliability analysis based on polynomial chaos expansion (PCE) metamodel. During solidification and cooling of a solid rocket motor (SRM) casted adherently, the deformations caused by temperature load differ because the linear expansion coefficients of grain and case have a large discrepancy [7]. The debonding defect [8] will occur as a result of the stress and strain on the interface between grain and insulation layer. The chamfer
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