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Experimental Examples for Identification of Structural Systems Using Degree of Freedom-Based Reduction Method

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Model Validation and Uncertainty Quantification, Volume 3

Abstract

Identification method on various structural system has been introduced in many numerical ways to validate complex structures by FEM using experimentally measured data. The objection of this study is to figure out how to identify a perturbed structure model by comparing with measured data based on original FEM data. Identified structure will improve the accuracy and reality to the numerical model by minimizing those differences between two models. Base-line model (original model) is constructed by FEM and will be compared with perturbed model (real model) by IPM (Inverse Perturbation Method). Measured dynamic responses, which is eigenvalues and eigenvectors, will be applied to satisfy the equilibrium and minimize the difference of dynamic responses between base-line model and perturbed model. In experimental examples, due to lack of number of sensor locations which will be located on the model, condensation method is used to restore full model. The equilibrium equation is expressed in terms of measured (primary) and unmeasured (secondary) degree of freedom. In the present study, influence of selection of sensor location and the convergence are considered and selection of sensor algorithm is applied to identification method. Experimental examples demonstrate that the proposed method improves accuracy of identifying perturbed structure model.

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References

  1. Liu, P.: Identification and damage detection of trusses using modal data. J. Struct. Eng. 121, 599–608 (1995)

    Article  Google Scholar 

  2. Hajela, P., Soeiro, F.J.: Structural damage detection based on static and modal analysis. AIAA J. 28(6), 1110–1115 (1989)

    Article  Google Scholar 

  3. Alvin, K.F., Park, K.C.: Second-order structural identification procedure via state-space-based system identification. AIAA J. 2010, 398621 (2010)

    Google Scholar 

  4. Chen, H., Kurt, M., Lee, Y.S., McFarland, D.M., Bergman, L.A., Vakakis, A.F.: Experimental system identification of the dynamics of a vibro-impact beam with a view towards structural health monitoring and damage detection. Mech. Syst. Signal Process. 46, 91–113 (2014)

    Article  Google Scholar 

  5. Guyan, R.: Reduction of stiffness and mass matrices. AIAA J. 3(2), 380 (1965)

    Article  Google Scholar 

  6. Friswell, M., Garvey, S., Penny, J.: Model reduction using dynamic and iterated IRS techniques. J. Sound Vib. 186(2), 311–323 (1995)

    Article  MATH  Google Scholar 

  7. Kim, H., Cho, M.: Two-level scheme for selection of primary degree of freedom and semi-analytic sensitivity based on the reduced system. Comput. Methods Appl. Mech. Eng. 195, 4244–4268 (2006)

    Article  MATH  Google Scholar 

  8. Kim, K., Choi, Y.: Energy method for selection of degree of freedom in condensation. AIAA J. 38(7), 1253–1259 (2000)

    Article  Google Scholar 

  9. O’Callahan, J., Avitabile, P., Riemer, R.: System equivalent reduction expansion process. In: Seventh International Modal Analysis Conference, Las Vegas (1989)

    Google Scholar 

  10. Chang, S., Baek, S., Kim, K., Cho, M.: Structural system identification using degree of freedom-based reduction and hierarchical clustering algorithm. J. Sound Vib. 346, 139–152 (2015)

    Article  Google Scholar 

  11. Robertson, A.N., Park, K.C., Alvin, K.F.: Extraction of impulse response data via wavelet transform for structural system identification. J. Vib. Acoust. 120(1), 252–260 (1998)

    Article  Google Scholar 

  12. Weng, S., Xia, Y., Zhou, X.Q., Xu, Y.L., Zhu, H.P.: Inverse substructure method for model updating structures. J. Sound Vib. 331, 5449–5468 (2012)

    Article  Google Scholar 

  13. Alvin, K.F., Park, K.C.: Extraction of substructural flexibility from global frequencies and mode shapes. AIAA J. 37, 1444–1451 (1999)

    Article  Google Scholar 

  14. Kim, K.O., Anderson, W.J., Sandstorm, R.E.: Nonlinear inverse perturbation method in dynamic analysis. AIAA J. 21, 1310–1316 (1982)

    MathSciNet  Google Scholar 

  15. Hoff, C.J., Bernitsas, M.M., Sandatorm, R.E., Anderson, W.J.: Inverse perturbation method for structural redesign with frequency and mode shape constraints. AIAA J. 22, 1304–1309 (1983)

    MATH  Google Scholar 

  16. Park, Y.C., Choi, Y.J., Cho, J.Y., Kim, K.O.: Inverse perturbation method and sensor location for structural damage detection. Int. Counc. Aeronaut. Sci. 4, 31–38 (2003)

    Google Scholar 

  17. Kammer, D.C., Tinker, M.L.: Optimal placement of triaxial accelerometers for modal vibration tests. Mech. Syst. Signal Process. 18, 29–41 (2004)

    Article  Google Scholar 

Download references

Acknowledgement

This work was supported by a grant from the National Research Foundation of Korea (NRF) funded by the Korea government (MSIP) (No. 2012R1A3A2048841).

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Correspondence to Maenghyo Cho .

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Sung, H., Chang, S., Cho, M. (2017). Experimental Examples for Identification of Structural Systems Using Degree of Freedom-Based Reduction Method. In: Barthorpe, R., Platz, R., Lopez, I., Moaveni, B., Papadimitriou, C. (eds) Model Validation and Uncertainty Quantification, Volume 3. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-54858-6_39

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  • DOI: https://doi.org/10.1007/978-3-319-54858-6_39

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  • Publisher Name: Springer, Cham

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  • Online ISBN: 978-3-319-54858-6

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