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Dynamic analysis of composite beam subjected to harmonic moving load based on the third-order shear deformation theory

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Abstract

The response of an infinite Timoshenko beam subjected to a harmonic moving load based on the thirdorder shear deformation theory (TSDT) is studied. The beam is made of laminated composite, and located on a Pasternak viscoelastic foundation. By using the principle of total minimum potential energy, the governing partial differential equations of motion are obtained. The solution is directed to compute the deflection and bending moment distribution along the length of the beam. Also, the effects of two types of composite materials, stiffness and shear layer viscosity coefficients of foundation, velocity and frequency of the moving load over the beam response are studied. In order to demonstrate the accuracy of the present method, the results TSDT are compared with the previously obtained results based on first-order shear deformation theory, with which good agreements are observed.

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References

  1. Fryba L. Vibration of Solids and Structures Under Moving Loads. London: Thomas Telford, 1999

    Book  Google Scholar 

  2. Heteny M. Beam on Elastic Foundation. New York: The University of Michigan Press, 1971

    Google Scholar 

  3. Achenbach J D, Sun C T. Moving load on a flexibly supported Timoshenko beam. International Journal of Solids and Structures, 1965, 1(4): 353–370

    Article  Google Scholar 

  4. Torchanis A M, Chelliah R, Bielak J. Unified approach for beams on elastic foundations under moving loads. Journal of Geotechnical Engineering, 1987, 113(8): 879–895

    Article  Google Scholar 

  5. Kargarnovin M H, Younesian D. Dynamics of Timoshenko beams on Pasternak foundation under moving load. Mechanics Research Communications, 2004, 31(6): 713–723

    Article  MATH  Google Scholar 

  6. Kargarnovin M H, Younesian D, Thompson D J, Jones C J C. Response of beams on nonlinear viscoelastic foundations to harmonic moving loads. Computers & Structures, 2005, 83(23–24): 1865–1877

    Article  Google Scholar 

  7. Rezvani M J, Karami K M. Dynamic analysis of a composite beam subjected to a moving load. Journal of Mechanical Engineering Science, 2009, 223: 1543–1554

    Google Scholar 

  8. Kant T, Marur S R, Rao G S. Analytical solution to the dynamic analysis of laminated beams using higher order refined theory. Composite Structures, 1997, 40(1): 1–9

    Article  Google Scholar 

  9. Bannerjee J R, Williams F W. Exact dynamic stiffness matrix for composite Timoshenko beams with applications. Journal of Sound and Vibration, 1996, 194(4): 573–585

    Article  Google Scholar 

  10. Teh K K, Huang C C. The effects of fibre orientation on free vibrations of composite beams. Journal of Sound and Vibration, 1980, 69(2): 327–337

    Article  Google Scholar 

  11. Teoh L S, Huang C C. The vibration of beams of fibre reinforced material. Journal of Sound and Vibration, 1977, 51(4): 467–473

    Article  Google Scholar 

  12. Abramovich H, Livshits A. Free vibration of non-symmetric cross-ply laminated composite beams. Journal of Sound and Vibration, 1994, 176(5): 597–612

    Article  MATH  Google Scholar 

  13. Simsek M S, Kocaturk T. Free and forced vibration of a functionally graded beam subjected to a concentrated moving harmonic load. Composite Structures, 2009, 90(4): 465–473

    Article  Google Scholar 

  14. Chen Y H, Huang Y H, Shih C T. Response of an infinite Timoshenko beam on a viscoelastic foundation to a harmonic moving load. Journal of Sound and Vibration, 2001, 241(5): 809–824

    Article  Google Scholar 

  15. Seong M K, Yoon H Ch. Vibration and dynamic buckling of shear beam-columns on elastic foundation under moving harmonic loads. International Journal of Solids and Structures, 2006, 43(3–4): 393–412

    MATH  Google Scholar 

  16. Reddy J N. Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, 2nd ed. Boca Raton: CRC Press, 2004

    MATH  Google Scholar 

  17. Wunsch A D. Complex Complex Variables with Applications. Massachusetts: Reading, 1994

    MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mechanical Engineering, Semnan Branch, Islamic Azad University, Semnan, Iran

    Mohammad Javad Rezvanil

  2. School of Mechanical Engineering, Sharif University of Technology, Tehran, Iran

    Mohammad Hossein Kargarnovin

  3. Railway Engineering Department, Iran University of Science and Technology, Tehran, Iran

    Davood Younesian

Authors
  1. Mohammad Javad Rezvanil
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  2. Mohammad Hossein Kargarnovin
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  3. Davood Younesian
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Correspondence to Mohammad Javad Rezvanil.

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Rezvanil, M.J., Kargarnovin, M.H. & Younesian, D. Dynamic analysis of composite beam subjected to harmonic moving load based on the third-order shear deformation theory. Front. Mech. Eng. 6, 409–418 (2011). https://doi.org/10.1007/s11465-011-0245-8

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  • DOI: https://doi.org/10.1007/s11465-011-0245-8

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