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Natural Frequency Modification Using Frequency-Shift Combined Approximations Algorithm

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Recent Developments in Intelligent Systems and Interactive Applications (IISA 2016)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 541))

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Abstract

This paper proposes an algorithm for determining structural changes for modifying natural frequencies of a structure in a prescribed manner using Frequency Shift Combined Approximations (FSCA) approach. This algorithm is based on the reduced basis method, natural frequency sensitivity analysis and Taylor series expansion. The application of this algorithm to a truck body finite element analysis is described. Natural frequency modification of the finite element model is shown to converge to satisfied results. The proposed algorithm is easy to implement and is suitable for structural dynamic modification and optimization in many engineering applications.

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References

  1. Kirsch, U.: Reanalysis and sensitivity reanalysis by combined approximations. Struct. Multi. Optim. 40, 1–15 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  2. Phansalkar, S.R.: Matrix iterative methods for structural reanalysis. Comput. Struct. 4, 779–800 (1974)

    Article  MathSciNet  Google Scholar 

  3. Kirsch, U.: A unified reanalysis approach for structural analysis, design, and optimization. Struct. Multi. Optim. 2003, 67–85 (2003)

    Article  Google Scholar 

  4. Zuo, W., Yu, Z., Zhao, S., Zhang, W.: A hybrid fox and kirsch’s reduced basis method for structural static reanalysis. Struct. Multi. Optim. 46, 261–272 (2012)

    Article  Google Scholar 

  5. Chen, S.H., Yang, X.W., Lian, H.D.: Comparison of several eigenvalue reanalysis methods for modified structures. Struct. Multi. Optim. 20, 253–259 (2000)

    Article  Google Scholar 

  6. Kirsch, U.: Approximate vibration reanalysis of structures. AIAA J. 41, 504–511 (2003)

    Article  Google Scholar 

  7. Chen, S.H., Yang, X.W.: Extended kirsch combined method for eigenvalue reanalysis. AIAA J. 38, 927–930 (2000)

    Article  Google Scholar 

  8. Zhang, G., Nikolaidis, E., Mourelatos, Z.P.: An efficient re-analysis methodology for probabilistic vibration of large-scale structures. J. Mech. Des. 131, 051007 (2009)

    Article  Google Scholar 

  9. Xu, T., Guo, G., Zhang, H.: Vibration reanalysis using frequency-shift combined approximations. Struct. Multi. Optim. 44, 235–246 (2011)

    Article  Google Scholar 

  10. Fox, R.L., Kappor, M.P.: Rates of change of eigenvalues and eigenvectors. AIAA J. 6, 2426–2429 (1968)

    Article  MATH  Google Scholar 

  11. Zuo, W., Bai, J., Yu, J.: Sensitivity reanalysis of static displacement using taylor series expansion and combined approximate method. Struct. Multi. Optim. 53, 953–959 (2016)

    Article  MathSciNet  Google Scholar 

  12. Zhao, S., Guo, G., Zhang, W., Liu, D.: Efficient procedures of sensitivity analysis for structural vibration systems with repeated frequencies. J. Appl. Math. 2013, 1–7 (2013)

    MATH  Google Scholar 

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Acknowledgements

This work is supported by Project of National Science Foundation of China (NSFC) (Grant No. 11502092), and Plan for Scientific and Technological Development of Jilin Province (Grant Nos. 20140520111JH and 20160520064JH).

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Authors and Affiliations

  1. School of Mechanical Science and Engineering, Jilin University, Changchun, People’s Republic of China

    Xue Liu, Qing Shao, Tao Xu & Guikai Guo

Authors
  1. Xue Liu
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  2. Qing Shao
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  3. Tao Xu
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  4. Guikai Guo
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Corresponding author

Correspondence to Guikai Guo .

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Editors and Affiliations

  1. Department of Computer Science, Universitat Politècnica de Catalunya, Barcelona, Spain

    Fatos Xhafa

  2. SOA University, Bhubaneswar, Odisha, India

    Srikanta Patnaik

  3. School of Information Engineering and Automation, Kunming University of Science and Technology, Kunming, China

    Zhengtao Yu

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Liu, X., Shao, Q., Xu, T., Guo, G. (2017). Natural Frequency Modification Using Frequency-Shift Combined Approximations Algorithm. In: Xhafa, F., Patnaik, S., Yu, Z. (eds) Recent Developments in Intelligent Systems and Interactive Applications. IISA 2016. Advances in Intelligent Systems and Computing, vol 541. Springer, Cham. https://doi.org/10.1007/978-3-319-49568-2_13

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  • DOI: https://doi.org/10.1007/978-3-319-49568-2_13

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-49567-5

  • Online ISBN: 978-3-319-49568-2

  • eBook Packages: EngineeringEngineering (R0)

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