Skip to main content
SpringerLink
Log in

A proposed unbalance parameters identification method with mixed uncertainty

  • Technical notes
  • Published:
Archive of Applied Mechanics Aims and scope Submit manuscript

Abstract

This paper deals with the effects of the interval and probability uncertain parameters imposed on the process of unbalance parameters identification from our previous paper (Mao et al. in: Shock Vib 2016:1–9, 2016) in Shock and Vibration. After employing uncertain parameters, we proposed the unbalance parameters identification method, and compared the results with those of previous studies.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3

Data availability

The authors confirm that the data supporting the conclusion of the article are shown in the relevant figures and tables in the article.

References

  1. Mao, W.G., Liu, G.P., Li, J.H., Liu, J.: An identification method for the unbalance parameters of a rotor-bearing system. Shock Vib. 2016, 1–9 (2016)

    Article  Google Scholar 

  2. Wang, W.X., Xue, H., Kong, T.T.Z.: An efficient hybrid reliability analysis method for structures involving random and interval variables. Struct. Multidiscip. Optim. 62, 159–173 (2020)

  3. Zhang, E., Antoni, J., Feissel, P.: Bayesian force reconstruction with an uncertain model. J. Sound Vib. 33, 798–814 (2012)

    Article  Google Scholar 

  4. Zhang, W., Liu, J., Cho, C., Han, X.: A hybrid parameter identification method based on Bayesian approach and interval analysis for uncertain structures. Mech. Syst. Signal Process. 60–61, 853–865 (2015)

    Article  Google Scholar 

  5. Wang, L., Liu, Y.R., Liu, Y.S.: An inverse method for distributed dynamic load identification of structures with interval uncertainties. Adv. Eng. Softw. 131, 77–89 (2019)

    Article  Google Scholar 

  6. Xu, M.H., Huang, J.H., Wang, C., Li, Y.L.: Fuzzy identification of dynamic loads in presence of structural epistemic uncertainties. Comput. Methods Appl. Mech. Eng. 360, 1–14 (2020)

  7. He, L.L., Lu, Z.Z., Feng, K.X.: A novel estimation method for failure—probability-based-sensitivity by conditional probability theorem. Struct. Multidiscip. Optim. 61, 1589–1602 (2020)

  8. Liu, J., Sun, X.S., Han, X., Jiang, C., Yu, D.J.: Dynamic load identification for stochastic structures based on Gegenbauer polynomial approximation and regularization method. Mech. Syst. Signal Process. 56–57, 35–54 (2015)

    Article  Google Scholar 

  9. Cao, L.X., Liu, J., Xie, L., Jiang, C., Bi, R.G.: Non-probabilistic polygonal convex set model for structural uncertainty quantification. Appl. Math. Model. 89(1), 504–518 (2021)

    Article  MathSciNet  Google Scholar 

  10. You, L.F., Zhang, J.G., Du, X.S., Wu, J.: A new structural reliability analysis method in presence of mixed uncertainty variables. Chin. J. Aeronaut. 33(06), 1673–1682 (2020)

  11. Wang, L., Liu, Y.R.: A novel method of distributed dynamic load identification for aircraft structure considering multi-source uncertainties. Struct. Multidiscip. Optim. 61, 1929–1952 (2020)

  12. Wang, J.Q., Lu, Z.Z.: Probabilistic safety model and its efficient solution for structure with random and interval mixed uncertainties. Mech. Mach. Theory 147, 1–21 (2020)

    Google Scholar 

  13. Liu, J., Li, K.: Sparse identification of time-space coupled distributed dynamic load. Mech. Syst. Signal Process. 148, 1–19 (2021)

    Google Scholar 

  14. Wang, C., Qiu, Z.P., He, Y.Y.: Fuzzy interval perturbation method for uncertain heat conduction problem with interval and fuzzy parameters. Int. J. Numer. Methods Eng. 104, 330–346 (2015)

    Article  MathSciNet  Google Scholar 

  15. Chen, S.H.: Matrix Perturbation Theory in Structural Dynamic Design. Science Press, Beijing (2007)

    Google Scholar 

  16. Sun, X.S., Liu, J., Ding, F., Wang, X.Y.: Identification method of dynamic loads for stochastic structures based on matrix perturbation theory. J. Mech. Eng. 50(13), 148–156 (2014)

    Article  Google Scholar 

  17. Liu, J., Han, X., Jiang, C., Ning, H.M., Bai, Y.C.: Dynamic load identification for uncertain structures based on interval analysis and regularization method. Int. J. Comput. Methods 8(4), 667–683 (2011)

    Article  MathSciNet  Google Scholar 

  18. Shinozuka, M., Wen, Y.: Monte Carlo solution of nonlinear vibrations. AIAA J. 10(1), 37–40 (1972)

    Article  Google Scholar 

Download references

Acknowledgements

The work has been Project supported by National Natural Science Foundation of China (Grant No. 51775180) and Hunan Provincial Natural Science Foundation of China (Grant Nos. 2019JJ60036, 2019JJ60040).

Author information

Authors and Affiliations

  1. Hunan Province Cooperative Innovation Center for Wind Power Equipment and Energy Conversion, College of Mechanical Engineering, Hunan Institute of Engineering, Xiangtan, 411104, People’s Republic of China

    Wengui Mao, Nannan Zhang, Jianhua Li & Caiming Fu

Authors
  1. Wengui Mao
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Nannan Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Jianhua Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Caiming Fu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Wengui Mao.

Ethics declarations

Conflict of interest

The authors declared that they have no conflict of interest to this work. We declare that we do not have any commercial or associative interest that represents a conflict of interest in connection with the work submitted.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Mao, W., Zhang, N., Li, J. et al. A proposed unbalance parameters identification method with mixed uncertainty. Arch Appl Mech 91, 1879–1885 (2021). https://doi.org/10.1007/s00419-021-01898-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00419-021-01898-1

Keywords

Search

Navigation