Skip to main content
Log in

Failure correlation reliability analysis of solid rocket motor grain based on polynomial chaos expansion

  • Original Article
  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. J. Tang, P. He and D. Song, Reliability calculation of failure correlation components based on copula function, Journal of Mechanical Strength, 32(5) (2010) 740–744.

    Google Scholar 

  2. Y. Sun, Z. Zhang, Q. Zhang, X. Qin and L. Luo, Multiple failure mode reliability modeling and analysis in failure crack propagation based on time-varying copula, Journal of Mechanical Science and Technology, 32(10) (2018) 4637–4648.

    Article  Google Scholar 

  3. L. Yang, K. He and Y. Guo, Reliability analysis of a nonlinear rotor/stator contact system in the presence of aleatory and epistemic uncertainty, Journal of Mechanical Science and Technology, 32(9) (2018) 4089–4101.

    Article  Google Scholar 

  4. D. Li et al., Reliability analysis of parallel structure systems based on copula functions, Engineering Mechanics, 31(8) (2014) 32–40.

    Article  Google Scholar 

  5. J. Zhou et al., Reliability model of copula for symmetrical structural systems, Acta Armamentarii, 32(2) (2011) 204–209.

    Google Scholar 

  6. L. He, Z. Lu and X. Li, Failure-mode importance measures in structural system with multiple failure modes and its estimation using copula, Reliability Engineering & System Safety, 174 (2018) 53–59.

    Article  Google Scholar 

  7. X. Xu and S. Yu, Transient response analysis of propellant grain during solidification and cooling, Journal of Solid Rocket Technology, 3 (2004) 180–183.

    Google Scholar 

  8. J. Yue et al., Viscoelastic analysis of grain considering contact effect of artificial debonding layer, Journal of Solid Rocket Technology, 36(3) (2013) 338–341, 352.

    Google Scholar 

  9. R. B. Nelsen, An Introduction to Copulas, Springer, New York, USA (2006).

    MATH  Google Scholar 

  10. H. Wenqin, J. Zhou and F. Zhu, Failure probability calculation of failure correlation structure system based on copula, Machinery Design and Manufacture, 2 (2011) 183–185.

    Google Scholar 

  11. J. Wei et al., Copula-function-based analysis model and dynamic reliability of a gear transmission system considering failure correlations, Fatigue & Fracture of Engineering Materials & Structures, 42(1) (2019) 114–128.

    Article  Google Scholar 

  12. J. Tang, P. He and Q. Wang, Copulas model for reliability calculation involving failure correlation, 2009 International Conference on Computational Intelligence and Software Engineering, Wuhan (2009) 1–4.

  13. H. Linxiong, L. Huacong, P. Kai and X. Hongliang, A novel kriging based active learning method for structural reliability analysis, Journal of Mechanical Science and Technology, 34(4) (2020) 1545–1556.

    Article  Google Scholar 

  14. R. G. Ghanem and P. D. Spanos, Stochastic finite element method: Response statistics, Stochastic Finite Elements: A Spectral Approach, Springer, New York (1991) 101–119.

    Chapter  Google Scholar 

  15. O. Garcia-Cabrejo and A. J. Valocchi, Global sensitivity analysis for multivariate output using polynomial chaos expansion, Reliability Engineering & System Safety, 126 (2014) 25–36.

    Article  Google Scholar 

  16. H. Wang, Z. Yan, M. Shahidehpour, X. Xu and Q. Zhou, Quantitative evaluations of uncertainties in multivariate operations of microgrids, IEEE Transactions on Smart Grid, 11(4) (2020) 2892–2903.

    Article  Google Scholar 

  17. S. Bucas et al., Stress-strength interference method applied for the fatigue design of tower cranes, Procedia Engineering, 66 (2013) 500–507.

    Article  Google Scholar 

  18. W. Beihai, Study on the shape of master elongation curve of hydroxyl-terminated polybutadiene propellants, Journal of Solid Rocket Technology, 3 (1997) 36–42.

    Google Scholar 

  19. H. Zhao et al., Effective robust design of high lift NLF airfoil under multi-parameter uncertainty, Aerospace Science and Technology, 68 (2017) 530–542.

    Article  Google Scholar 

Download references

Acknowledgments

This work is supported by the National Natural Science Foundation of China under Grant No. 11962021, No. 11262014.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Haibin Li.

Additional information

Recommended by Editor Chongdu Cho

Haibin Li received his M.S. and Ph.D. in Inner Mongolia University of Technology and Dalian University of Technology, respectively. Currently he is a Professor in the Mechanical Department at Inner Mongolia University of Technology. He has published more than 30 research papers, and done research in the area of theory and application of computational solid mechanics, artificial neural network analytical method, design of press sensor and path planning for multiple mobile robots.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Li, Y., Li, H. & Wei, G. Failure correlation reliability analysis of solid rocket motor grain based on polynomial chaos expansion. J Mech Sci Technol 34, 3189–3195 (2020). https://doi.org/10.1007/s12206-020-0710-6

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-020-0710-6

Keywords

Navigation