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Shock and Vibration
Volume 2017 (2017), Article ID 3809415, 13 pages
https://doi.org/10.1155/2017/3809415
Research Article

Dynamic Analysis of an Infinitely Long Beam Resting on a Kelvin Foundation under Moving Random Loads

1State Key Laboratory of Structural Analysis for Industrial Equipment, Faculty of Vehicle Engineering and Mechanics, Dalian University of Technology, Dalian 116023, China
2School of Engineering, University of Liverpool, The Quadrangle, Liverpool L69 3GH, UK

Correspondence should be addressed to Y. Zhao; nc.ude.tuld@oahzy

Received 27 December 2016; Accepted 27 February 2017; Published 16 March 2017

Academic Editor: Laurent Mevel

Copyright © 2017 Y. Zhao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. L. Frýba, Vibration of Solids and Structures Under Moving Loads, Telford, London, UK, 1999.
  2. Y. B. Yang, J. D. Yau, and Y. S. Wu, Vehicle-Bridge Interaction Dynamics—With Applications to High-Speed Railways, World Scientific, Singapore, 2004. View at Publisher · View at Google Scholar
  3. M. Majka and M. Hartnett, “Dynamic response of bridges to moving trains: a study on effects of random track irregularities and bridge skewness,” Computers and Structures, vol. 87, no. 19-20, pp. 1233–1252, 2009. View at Publisher · View at Google Scholar · View at Scopus
  4. N. D. Beskou and D. D. Theodorakopoulos, “Dynamic effects of moving loads on road pavements: a review,” Soil Dynamics and Earthquake Engineering, vol. 31, no. 4, pp. 547–567, 2011. View at Publisher · View at Google Scholar · View at Scopus
  5. C. I. Bajer and B. Dyniewicz, Numerical Analysis of Vibrations of Structures under Moving Inertial Load, Springer Science & Business Media, Berlin, Germany, 2012.
  6. H. Ouyang, “Moving-load dynamic problems: a tutorial (with a brief overview),” Mechanical Systems and Signal Processing, vol. 25, no. 6, pp. 2039–2060, 2011. View at Publisher · View at Google Scholar · View at Scopus
  7. A. Der Kiureghian and J. Crempien, “An evolutionary model for earthquake ground motion,” Structural Safety, vol. 6, no. 2, pp. 235–246, 1989. View at Publisher · View at Google Scholar · View at Scopus
  8. J. P. Conte and B.-F. Peng, “An explicit closed-form solution for linear systems subjected to nonstationary random excitation,” Probabilistic Engineering Mechanics, vol. 11, no. 1, pp. 37–50, 1996. View at Publisher · View at Google Scholar · View at Scopus
  9. J. D. Achenbach and C. T. Sun, “Moving load on a flexibly supported Timoshenko beam,” International Journal of Solids and Structures, vol. 1, no. 4, pp. 353–370, 1965. View at Publisher · View at Google Scholar · View at Scopus
  10. C. J. C. Jones, X. Sheng, and M. Petyt, “Simulations of ground vibration from a moving harmonic load on a railway track,” Journal of Sound and Vibration, vol. 231, no. 3, pp. 739–751, 2000. View at Publisher · View at Google Scholar · View at Scopus
  11. Y.-H. Lin and M. W. Trethewey, “Finite element analysis of elastic beams subjected to moving dynamic loads,” Journal of Sound and Vibration, vol. 136, no. 2, pp. 323–342, 1990. View at Publisher · View at Google Scholar · View at Scopus
  12. Y.-H. Chen, Y.-H. Huang, and C.-T. Shih, “Response of an infinite tomoshenko beam on a viscoelastic foundation to a harmonic moving load,” Journal of Sound and Vibration, vol. 241, no. 5, pp. 809–824, 2001. View at Publisher · View at Google Scholar · View at Scopus
  13. H. A. Dieterman and A. Metrikine, “The Equivalent stiffness of a half-space interacting with a beam. Critical velocities of a moving load along the beam,” European Journal of Mechanics—A/Solids, vol. 15, no. 1, pp. 67–90, 1996. View at Google Scholar · View at Scopus
  14. H. A. Dieterman and A. V. Metrikine, “Steady-state displacements of a beam on an elastic half-space due to a uniformly moving constant load,” European Journal of Mechanics, A/Solids, vol. 16, no. 2, pp. 295–306, 1997. View at Google Scholar · View at Scopus
  15. A. S. J. Suiker, R. De Borst, and C. Esveld, “Critical behaviour of a Timoshenko beam-half plane system under a moving load,” Archive of Applied Mechanics, vol. 68, no. 3-4, pp. 158–168, 1998. View at Publisher · View at Google Scholar · View at Scopus
  16. T. Yoshimura, J. Hino, and N. Anantharayana, “Vibration analysis of a non-linear beam subjected to moving loads by using the galerkin method,” Journal of Sound and Vibration, vol. 104, no. 2, pp. 179–186, 1986. View at Publisher · View at Google Scholar · View at Scopus
  17. J. Hino, T. Yoshimura, and N. Ananthanarayana, “Vibration analysis of non-linear beams subjected to a moving load using the finite element method,” Journal of Sound and Vibration, vol. 100, no. 4, pp. 477–491, 1985. View at Publisher · View at Google Scholar · View at Scopus
  18. M. Şimşek, “Non-linear vibration analysis of a functionally graded Timoshenko beam under action of a moving harmonic load,” Composite Structures, vol. 92, no. 10, pp. 2532–2546, 2010. View at Publisher · View at Google Scholar · View at Scopus
  19. P. Castro Jorge, F. M. F. Simões, and A. Pinto Da Costa, “Dynamics of beams on non-uniform nonlinear foundations subjected to moving loads,” Computers and Structures, vol. 148, pp. 26–34, 2015. View at Publisher · View at Google Scholar · View at Scopus
  20. D. Bryja and P. Śniady, “Random vibration of a suspension bridge due to highway traffic,” Journal of Sound and Vibration, vol. 125, no. 2, pp. 379–387, 1988. View at Publisher · View at Google Scholar · View at Scopus
  21. P. Śniady, “Vibration of a beam due to a random stream of moving forces with random velocity,” Journal of Sound and Vibration, vol. 97, no. 1, pp. 23–33, 1984. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  22. P. K. Chatterjee, T. K. Datta, and C. S. Surana, “Vibration of suspension bridges under vehicular movement,” Journal of Structural Engineering, vol. 120, no. 3, pp. 681–703, 1994. View at Publisher · View at Google Scholar · View at Scopus
  23. H. S. Zibdeh, “Stochastic vibration of an elastic beam due to random moving loads and deterministic axial forces,” Engineering Structures, vol. 17, no. 7, pp. 530–535, 1995. View at Publisher · View at Google Scholar · View at Scopus
  24. D. Huang and T.-L. Wang, “Vibration of highway steel bridges with longitudinal grades,” Computers & Structures, vol. 69, no. 2, pp. 235–245, 1998. View at Publisher · View at Google Scholar · View at Scopus
  25. G. Lombaert, G. Degrande, and D. Clouteau, “Numerical modelling of free field traffic-induced vibrations,” Soil Dynamics and Earthquake Engineering, vol. 19, no. 7, pp. 473–488, 2000. View at Publisher · View at Google Scholar · View at Scopus
  26. C. W. Kim, M. Kawatani, and K. B. Kim, “Three-dimensional dynamic analysis for bridge-vehicle interaction with roadway roughness,” Computers and Structures, vol. 83, no. 19-20, pp. 1627–1645, 2005. View at Publisher · View at Google Scholar · View at Scopus
  27. T.-P. Chang and Y.-N. Liu, “Dynamic finite element analysis of a nonlinear beam subjected to a moving load,” International Journal of Solids and Structures, vol. 33, no. 12, pp. 1673–1688, 1996. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  28. G. Stefanou, “The stochastic finite element method: past, present and future,” Computer Methods in Applied Mechanics and Engineering, vol. 198, no. 9–12, pp. 1031–1051, 2009. View at Publisher · View at Google Scholar · View at Scopus
  29. G. Muscolino and T. Alderucci, “Closed-form solutions for the evolutionary frequency response function of linear systems subjected to separable or non-separable non-stationary stochastic excitations,” Probabilistic Engineering Mechanics, vol. 40, pp. 75–89, 2015. View at Publisher · View at Google Scholar · View at Scopus
  30. R. F. Harrison and J. K. Hammond, “Evolutionary (frequency/time) spectral analysis of the response of vehicles moving on rough ground by using ‘covariance equivalent’ modelling,” Journal of Sound and Vibration, vol. 107, no. 1, pp. 29–38, 1986. View at Publisher · View at Google Scholar · View at Scopus
  31. F. Lu, D. Kennedy, F. W. Williams, and J. H. Lin, “Non-stationary random vibration of FE structures subjected to moving loads,” Shock and Vibration, vol. 16, no. 3, pp. 291–305, 2009. View at Publisher · View at Google Scholar · View at Scopus
  32. J. H. Lin, Y. Zhao, and Y. H. Zhang, “Accurate and highly efficient algorithms for structural stationary/non-stationary random responses,” Computer Methods in Applied Mechanics and Engineering, vol. 191, no. 1-2, pp. 103–111, 2001. View at Publisher · View at Google Scholar · View at Scopus
  33. J. H. Lin, Y. H. Zhang, and Y. Zhao, “Seismic random response analysis,” in Bridge Engineering Handbook, pp. 133–162, 2014. View at Google Scholar
  34. W. S. Zhang and Y. L. Xu, “Dynamic characteristics and seismic response of adjacent buildings linked by discrete dampers,” Earthquake Engineering and Structural Dynamics, vol. 28, no. 10, pp. 1163–1185, 1999. View at Publisher · View at Google Scholar · View at Scopus
  35. T. Bierer and C. Bode, “A semi-analytical model in time domain for moving loads,” Soil Dynamics and Earthquake Engineering, vol. 27, no. 12, pp. 1073–1081, 2007. View at Publisher · View at Google Scholar · View at Scopus
  36. U. Lee, S. Kim, and J. Cho, “Dynamic analysis of the linear discrete dynamic systems subjected to the initial conditions by using an FFT-based spectral analysis method,” Journal of Sound and Vibration, vol. 288, no. 1-2, pp. 293–306, 2005. View at Publisher · View at Google Scholar · View at Scopus
  37. A. S. Veletsos and C. E. Ventura, “Dynamic analysis of structures by the DFT method,” Journal of Structural Engineering, vol. 111, no. 12, pp. 2625–2642, 1985. View at Publisher · View at Google Scholar · View at Scopus
  38. L. Sun, “A closed-form solution of beam on viscoelastic subgrade subjected to moving loads,” Computers and Structures, vol. 80, no. 1, pp. 1–8, 2002. View at Publisher · View at Google Scholar · View at Scopus