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An improved model updating method of reduced-models for finite element model

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Abstract

Most of exiting model updating methods based on the substructure matrices did not consider the effect of model reduction process on model updating which led to the updating results could not become more and more accurate with the improvement of the model reduction precision and the convergence rate was greatly reduced. In order to solve this problem, this paper analyses the basic reason about this problem, and proposes an improved model updating method of reduced-models, named as improved reduced cross-model cross-mode (IRCMCM) method. The proposed method eliminates the disadvantageous effect by adding a correction term to the model updating formula and employing an iterative process. The results obtained by the referenced method and IRCMCM method are compared by numerical examples of satellite’s plates, which indicate the model updating results are more accurate by using the proposed method, and the model updating precision becomes better with the precision of the model reduction upgraded and the convergence rate is improved to a large extent at the same time.

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References

  1. Bathe K J. Finite element procedures in engineering analysis [M]. New Jersey: Prentice-Hall, 1982.

    Google Scholar 

  2. Mottershead J E, Friswell M I. Model updating in structural dynamics: A survey [J]. Journal of Sound and Vibration, 1993, 167(2): 347–375.

    Article  MATH  Google Scholar 

  3. Friswell M I, Mottershead J E. Finite element model updating in structural dynamics [M]. Dordrecht: Kluwer Academic Publisher, 1995.

    Google Scholar 

  4. Ahmadian H, Mottershead J E, James S, et al. Modeling and updating of large surface-to-surface joints in the AWE-MACE structure [J]. Mechanical Systems and Signal Processing, 2006, 20(4): 868–880.

    Article  Google Scholar 

  5. Link M, Friswell M I. Working group 1: Generation of validated structural dynamic models-results of a benchmark study utilising the GARTEUR SM-AG19 test-bed [J]. Mechanical Systems and Signal Processing, 2003, 17(1): 9–20.

    Article  Google Scholar 

  6. Mottershead J E, Mares C, Friswell M I, et al. Selection and updating of parameters for an aluminum space-frame model [J]. Mechanical Systems and Signal Processing, 2000, 14(6): 923–944.

    Article  Google Scholar 

  7. Hu S-L J, Li H J, Wang S Q. Cross-model crossmode method for model updating [J]. Mechanical Systems and Signal Processing, 2007, 21(4): 1690–1703.

    Article  Google Scholar 

  8. Guyan R J. Reduction of stiffness and mass matrices [J]. AIAA Journal, 1965, 3(2): 380–381.

    Article  Google Scholar 

  9. O’Callahan J. A procedure for improved reduced system (IRS) model [C]// Proc 7th International Modal Analysis Conference. Schenectady, NY: Union College, 1989: 17–21.

    Google Scholar 

  10. Zhang D W, Li S. Succession-level approximate reduction (SAR) technique for structural dynamic model [C]// Proc 13th International Modal Analysis Conference. Schenectady: Union College, 1995: 435–441.

    Google Scholar 

  11. Berman A, Nagy E J. Improvement of a large analytical model using test data [J]. AIAA Journal, 1983, 21(8): 1168–1173.

    Article  Google Scholar 

  12. O’Callahan J, Avtabile P, Lieu I W, et al. An efficient method of determining rotational degrees of freedom from analytical and experimental model data [C]// Proc 4th International Modal Analysis Conference. Los Angeles: IEEE Press, 1986: 50–58.

    Google Scholar 

  13. Li H J, Zhang M, Hu S-L J. Refinement of reducedmodels for dynamic systems [J]. Progress in Natural Science, 2008, 18(8): 993–997.

    Article  Google Scholar 

  14. Zhu H P, Hao X Z. Comparison of analytical approaches to structural model updating using model test data [C]// Proc 10th Biennial ASCE Aerospace Division International Conference on Engineering. Houston: Earth and Space, 2006: 5–8.

    Google Scholar 

  15. Tinker M L. Hybrid residual flexibility mass-additive method for structural dynamic testing [M]. Alabama: Marshall Space Flight Center, 2003.

    Google Scholar 

Download references

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Correspondence to Jia-zhen Hong  (洪嘉振).

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Foundation item: the National Natural Science Foundation of China (No. 10772113)

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Li, Wm., Hong, Jz. An improved model updating method of reduced-models for finite element model. J. Shanghai Jiaotong Univ. (Sci.) 15, 377–384 (2010). https://doi.org/10.1007/s12204-010-1020-4

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  • DOI: https://doi.org/10.1007/s12204-010-1020-4

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