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Identification of Multi-Point Dynamic Load Positions Based on Filter Coefficient Method

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Abstract

Background

Dynamic load identification plays an important role in practical engineering. In this paper, a novel fast algorithm is investigated to identify the multi-point dynamic load positions in frequency domain.

Methods

For any given frequency, the amplitude of each load spectrum is relatively constant. By solving the kinetic equation set with the elimination method, the relationship of the true dynamic load positions can be expressed as the form of filter coefficients, then many dynamic load position combinations can be found that they do not satisfy the relationship so they can be excluded from the possible true position combinations. Compared to the traditional method, the novel algorithm only needs to sort out the true positions from a few dynamic load position combinations by the minimum determination coefficient method, which reduces the number of matrix inversion operations and improves the speed of the identification of load positions.

Conclusions

Through a numerical simulation and an identification test on the simply supported beam structure, the high accuracy and effectiveness of the novel algorithm are successfully demonstrated, while the rapidity of the novel algorithm is shown by comparing the computation time of the novel algorithm with that of the traditional method.

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References

  1. Bartlett WG, Flannelly FD (1979) Modal verification of force determination for measuring vibratory loads. J Am Helicopt Soc 24(2):10–18

    Article  Google Scholar 

  2. Hillary B, Ewins DJ (1984) The use of strain gauges in force determination and frequency response function measurements. In: Proceedings of the 2nd international modal analysis conference, pp 627–634

  3. Starkey JM, Merrill GL (1989) On the ill-condition nature of indirect force measurement techniques. Int J Anal Exp Modal Anal 4(3):103–108

    Google Scholar 

  4. Hansen M, Starkey JM (1990) On predicting and improving the condition of Modal-Model-based indirect force measurement methods. In: Proceedings of the 8th IMAC, pp 115–120

  5. Yu L, Chan THT (2003) Moving force identification based on the frequency-time domain method. J Sound Vib 261:329–349

    Article  Google Scholar 

  6. Liu Y, Shepard WS (2005) Dynamic force identification based on enhanced least squares and total least-squares schemes in the frequency domain. J Sound Vib 282(1–2):37–60

    Article  Google Scholar 

  7. Desanghere G, Snoeys R (1985) Indirect identification of excitation forces by modal coordinate transformation. In: Proceedings of the 3rd IMAC, pp 685–690

  8. Chan THT, Law SS, Yung TH (2000) Moving force identification using an existing prestressed concrete bridge. Eng Struct 22:1261–1270

    Article  Google Scholar 

  9. Law SS, Bu JQ, Zhu XQ et al (2007) Moving load identification on a simply supported orthotropic plate. Int J Mech Sci 49:1262–1275

    Article  Google Scholar 

  10. Choi HG, Thite AN, Thompson DJ (2007) Comparison of methods for parameter selection in Tikhonov regularization with application to inverse force determination. J Sound Vib 304:894–917

    Article  Google Scholar 

  11. Hansen PC (1990) Truncated SVD solutions to discrete ill-posed problems with ill-determined numerical rank. SIAM J Sci Stat Comput 11:503–518

    Article  MATH  Google Scholar 

  12. Hansen PC, Sekii T, Shibahashi H (1992) The modified truncated SVD method for regularization in general form. SIAM J Sci Stat Comput 13:1142–1150

    Article  MathSciNet  MATH  Google Scholar 

  13. Ekstrom MP, Rhoads RL (1974) On the application of eigenvector expansions to numerical deconvolution. J Comput Phys 14:319–340

    Article  MATH  Google Scholar 

  14. Hanke M, Hansen PC (1993) Regularization methods for large-scale problems. Surv Math Ind 3:253–315

    MathSciNet  MATH  Google Scholar 

  15. Liu J, Sun XS, Han X et al (2014) A novel computational inverse technique for load identification using the shape function method of moving least square fitting. Comput Struct 144:127–137

    Article  Google Scholar 

  16. Liu J, Meng XH, Jiang C et al (2016) Time-domain Galerkin method for dynamic load identification. Int J Numer Meth Eng 105(8):620–640

    Article  MathSciNet  Google Scholar 

  17. Gaul L, Hurlebaus S (1998) Identification of the impact location on a plate using wavelets. Mech Syst Signal Process 12(6):783–795

    Article  Google Scholar 

  18. El-Bakari A, Khamlichi A (2014) Assessing impact force localization by using a particle swarm optimization algorithm. J Sound Vib 333:1554–1561

    Article  Google Scholar 

  19. Li QF, Lu QH (2016) Impact localization and identification under a constrained optimization scheme. J Sound Vib 366:133–148

    Article  Google Scholar 

  20. Ginsberg Daniel, Fritzen Claus-Peter (2016) Impact identification and localization using a sample-force-dictionary—general theory and its applications to beam structures. Struct Monit Maintenance 3:195–214

    Article  Google Scholar 

  21. Zhu DCh, Zhang F, Jiang JH (2012) Identification technology of dynamic load location. J Vib Shock 31(1):20–23

    Google Scholar 

  22. Zhu DCh, Zhang F, Jiang JH et al (2013) Time-domain identification technology for dynamic load locations. J Vib Shock 32(17):74–78

    Google Scholar 

Download references

Acknowledgements

This work was supported by A Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions and National Natural Science Foundation of China, no. 51775270. The authors would also like to acknowledge the anonymous reviewers for their insightful comments and suggestions on an earlier draft of this paper.

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Authors and Affiliations

  1. State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing, China

    Jing Zhang, Fang Zhang & Jinhui Jiang

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  1. Jing Zhang
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  2. Fang Zhang
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  3. Jinhui Jiang
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Correspondence to Fang Zhang.

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Zhang, J., Zhang, F. & Jiang, J. Identification of Multi-Point Dynamic Load Positions Based on Filter Coefficient Method. J. Vib. Eng. Technol. 9, 563–573 (2021). https://doi.org/10.1007/s42417-020-00248-9

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  • DOI: https://doi.org/10.1007/s42417-020-00248-9

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