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Spectral Element Method for Cable Harnessed Structure

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Topics in Modal Analysis, Volume 7

Abstract

This paper presents a predictive model of a cable-harnessed structure through using the Spectral Element Method (SEM) and this is compared to a finite element approach. SEM is an element-based method that combines the generality of the finite element method with the accuracy of spectral techniques. The exact dynamic stiffness matrices are used as the element matrices in the Finite Element Method (FEM). Thus it is possible to generate the meshes on geometric domains of concern. The spectral element can be assembled in the same terminology of the FEM. After assembly and application of the boundary conditions, the global matrix can be solved for response of model, repeatedly at all discrete frequencies because the dynamic stiffness matrices are computed at each frequency. Here we model a cable-harnessed structure as a double beam system. The presented SEM model can define location and number of connections very conveniently. Comparison is conducted between the FEM and SEM for several cases. The results show that the proposed SEM approach can be used as the exact solution of cable harnessed structures.

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References

  1. Inman DJ (2008) Engineering vibration 4th edition Pearson Prentice Hall, Upper Saddle River

    Google Scholar 

  2. Seelig JM, Hoppmann WH II (1964) Normal mode vibrations of systems of elastically connected parallel bars J Acoust Soc Am 36(1):93–99

    Google Scholar 

  3. Rao SS (1974) Natural vibrations of systems of elastically connected Timoshenko beams J Acoust Soc Am 55(6):1232–1237

    Google Scholar 

  4. Gürgöze M (1996) On the eigenfrequencies of a cantilever beam with attached tip mass and a spring-mass system J Sound Vib 190(2):149–162

    Google Scholar 

  5. Gürgöze M (1998) On the alternative formulations of the frequency equation of a Bernoulli-Euler beam to which several spring-mass systems are attached in-span J Sound Vib 217(3):585–595

    Google Scholar 

  6. Vu HV, Ordonez AM Karnopp BH (2000) Vibration of a double-beam system J Sound Vib 229(4):807–822

    Google Scholar 

  7. Wu JS Chou HM (1998) Free vibration analysis of a cantilever beam carrying any number of elastically mounted point masses with the analytical-and-numerical-combined method. J Sound Vib 213(2):317–332

    Google Scholar 

  8. Doyle JF (1997) Wave propagation in structures: spectral analysis using fast discrete Fourier transforms Springer, New York

    Google Scholar 

  9. Lee U (2009) Spectral element method in structural dynamics Wiley, Singapore/Hoboken

    Google Scholar 

  10. Banerjee JR (2003) Dynamic stiffness formulation and its application for a combined beam and a two degree-of-freedom system J Vib Acoust 125(3):351–358

    Google Scholar 

  11. Chen DW (2006) The exact solution for free vibration of uniform beams carrying multiple two-degree-of-freedom spring–mass systems J Sound Vib 295(1–2):342–361

    Google Scholar 

  12. Li J Hua H (2007) Spectral finite element analysis of elastically connected double-beam systems Finite Elem Anal Des 43(15):1155–1168

    Google Scholar 

  13. Li J Hua H (2008) Dynamic stiffness vibration analysis of an elastically connected three-beam system Appl Acoust 69(7):591–600

    Google Scholar 

  14. Jiao S, Li J, Hua H Shen R (2008) A spectral finite element model for vibration analysis of a beam based on general higher-order theory Shock Vib 15(2):179–192

    Google Scholar 

  15. Burden RL Faires JD (2005) Numerical analysis Thomson Brooks/Cole, Belmont

    Google Scholar 

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Correspondence to Daniel J. Inman .

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© 2014 The Society for Experimental Mechanics

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Choi, J., Inman, D.J. (2014). Spectral Element Method for Cable Harnessed Structure. In: Allemang, R., De Clerck, J., Niezrecki, C., Wicks, A. (eds) Topics in Modal Analysis, Volume 7. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6585-0_35

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  • DOI: https://doi.org/10.1007/978-1-4614-6585-0_35

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-6584-3

  • Online ISBN: 978-1-4614-6585-0

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