Structural Engineering and Mechanics

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Finite element dynamic analysis of laminated composite beams under moving loads

  • Kahya, Volkan (Department of Civil Engineering, Karadeniz Technical University)
  • Received : 2011.09.17
  • Accepted : 2012.05.01
  • Published : 2012.06.10
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Abstract

This study presents dynamic analysis of laminated beams traversed by moving loads using a multilayered beam element based on the first-order shear deformation theory. The present element consists of N layers with different thickness and material property, and has (3N + 7) degrees of freedom corresponding three axial, four transversal, and 3N rotational displacements. Delamination and interfacial slip are not allowed. Comparisons with analytical and/or numerical results available in literature for some illustrative examples are made. Numerical results for natural frequencies, deflections and stresses of laminated beams are given to explain the effect of load speed, lamina layup, and boundary conditions.

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References

  1. Abu-Hilal, M. and Mohsen, M. (2000), "Vibration of beams with general boundary conditions due to moving harmonic load", J. Sound Vib., 232, 703-717. https://doi.org/10.1006/jsvi.1999.2771
  2. Au, T.K., Cheng, Y.S. and Cheung, Y.K. (2000), "Vibration analysis of bridges under moving vehicles and trains: an overview", Progr. Struct. Eng. Mater., 13, 299-304.
  3. Bassiouni, A.S., Gad-Elrab, R.M. and Elmahdy, T.H. (1999), "Dynamic analysis for laminated composite beams", Compos. Struct., 44, 81-87. https://doi.org/10.1016/S0263-8223(98)00057-9
  4. Cantero, D., O'Brien, E.J. and González, A. (2010), "Modelling the vehicle in vehicle-infrastructure dynamic interaction studies", Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics, 224, 243-248.
  5. Chen, W.Q., Lv, C.F. and Bian, Z.G. (2003), "Elasticity solution for free vibration of laminated beams", Compos. Struct., 62, 75-82. https://doi.org/10.1016/S0263-8223(03)00086-2
  6. Chonan, S. (1975), "The elastically supported Timoshenko beam subjected to an axial force and a moving load", Int. J. Mech. Sci., 17, 573-581. https://doi.org/10.1016/0020-7403(75)90022-3
  7. Fryba, L. (1999), Vibration of Solids and Structures under Moving Loads, 3rd Editions, Thomas Telford Ltd., Prague.
  8. Ghafoori, E. and Asghari, M. (2010), "Dynamic analysis of laminated composite plates traversed by a moving mass based on a first-order theory", Compos. Struct., 92, 1865-1876. https://doi.org/10.1016/j.compstruct.2010.01.011
  9. Hino, J., Yoshimura, T., Konishi, K. and Ananthanarayana, N. (1984), "A finite element method prediction of the vibration of a bridge subjected to a moving vehicle load", J. Sound Vib., 96, 45-53. https://doi.org/10.1016/0022-460X(84)90593-5
  10. Kadivar, M.H. and Mohebpour, S.R. (1998), "Finite element dynamic analysis of unsymmetric composite laminated beams with shear effect and rotary inertia under the action of moving loads", Finite Elem. Anal. Des., 29, 259-273. https://doi.org/10.1016/S0168-874X(98)00024-9
  11. Kahya, V. (2012), "Dynamic analysis of laminated composite beams under moving loads using finite element method", Nucl. Eng. Des., 243, 41-48. https://doi.org/10.1016/j.nucengdes.2011.12.015
  12. Kahya, V. and Mosallam, A.S. (2011), "Dynamic analysis of composite sandwich beams under moving mass", KSU J. Eng. Sci., 14, 18-25.
  13. Kavipurapu, P.K. (2005), "Forced vibration and hygrothermal analysis of composite laminated beams under the action of moving loads", M.Sc. Thesis, Morgantown, West Virginia University.
  14. Kiral, B.G., Kiral, Z. and Baba, B.O. (2004), "Dynamic behavior of laminated composite beams subjected to a moving load", J. Appl. Sci., 4, 271-276. https://doi.org/10.3923/jas.2004.271.276
  15. Kocaturk, T. and im ek, M. (2006), "Dynamic analysis of eccentrically prestressed viscoelastic Timoshenko beams under a moving harmonic load", Comput. Struct., 84, 2113-2127. https://doi.org/10.1016/j.compstruc.2006.08.062
  16. Lee, S.Y., Yhim, S.S. (2004), "Dynamic analysis of composite plates subjected to multi-moving loads based on a third order theory", Int. J. Solids Struct., 41, 4457-4472. https://doi.org/10.1016/j.ijsolstr.2004.03.021
  17. Malekzadeh, P., Fiouz, A.R. and Razi, H. (2009), "Three-dimensional dynamic analysis of laminated composite plates subjected to moving load", Compos. Struct., 90, 105-114. https://doi.org/10.1016/j.compstruct.2009.02.008
  18. Mohebpour, S.R., Fiouz, A.R. and Ahmadzadeh, A.A. (2011), "Dynamic investigation of laminated composite beams with shear and rotary inertia effect subjected to the moving oscillators using FEM", Compos. Struct., 93, 1118-1126. https://doi.org/10.1016/j.compstruct.2010.09.011
  19. Mohebpour, S.R., Malekzadeh, P. and Ahmadzadeh, A.A. (2011), "Dynamic analysis of laminated composite plates subjected to a moving oscillator by FEM", Compos. Struct., 93, 1574-1583. https://doi.org/10.1016/j.compstruct.2011.01.003
  20. Reddy, J.N. (1997), Mechanics of Laminated Composite Plates: Theory and Analysis, CRC Press, New York.
  21. Simsek, M. and Kocaturk, T. (2009), "Nonlinear dynamic analysis of an eccentrically prestressed damped beam under a concentrated moving harmonic load", J. Sound Vib., 320, 235-253. https://doi.org/10.1016/j.jsv.2008.07.012
  22. Yang, Y.B., Yau, J.D. and Wu, J.S. (2004), Vehicle-Bridge Interaction Dynamics with Applications to High-Speed Railways, World Scientific Publishing, Singapore.
  23. Yuan, F.G. and Miller, R.E. (1989), "A new finite element for laminated composite beams", Comput. Struct., 31, 737-745. https://doi.org/10.1016/0045-7949(89)90207-1
  24. Yuan, F.G. and Miller, R.E. (1990), "A higher-order finite element for laminated beams", Comput. Struct, 14, 125-150. https://doi.org/10.1016/0263-8223(90)90027-C
  25. Zibdeh, H.S. and Abu-Hilal, M. (2003), "Stochastic vibration of laminated composite coated beam traversed by a random moving load", Eng. Struct., 25, 397-404. https://doi.org/10.1016/S0141-0296(02)00181-5
  26. Zienkiewicz, O.C. and Taylor, R.L. (2000), The Finite Element Method: The Basis, Vol. 1, 5th Editions, Butterworth-Heinemann, Oxford.

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