Interaction and multiscale mechanics

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Dynamic analysis of rigid roadway pavement under moving traffic loads with variable velocity

  • Alisjahbana, S.W. (Faculty of Engineering and Informatics, Universitas Bakrie) ;
  • Wangsadinata, W. (PT Wiratman and Associates)
  • Received : 2011.08.10
  • Accepted : 2012.04.04
  • Published : 2012.06.25
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Abstract

The study of rigid roadway pavement under dynamic traffic loads with variable velocity is investigated in this paper. Rigid roadway pavement is modeled as a rectangular damped orthotropic plate supported by elastic Pasternak foundation. The boundary supports of the plate are the steel dowels and tie bars which provide elastic vertical support and rotational restraint. The natural frequencies of the system and the mode shapes are solved using two transcendental equations, obtained from the solution of two auxiliary Levy's type problems, known as the Modified Bolotin Method. The dynamic moving traffic load is expressed as a concentrated load of harmonically varying magnitude, moving straight along the plate with a variable velocity. The dynamic response of the plate is obtained on the basis of orthogonality properties of eigenfunctions. Numerical example results show that the velocity and the angular frequency of the loads affected the maximum dynamic deflection of the rigid roadway pavement. It is also shown that a critical speed of the load exists. If the moving traffic load travels at critical speed, the rectangular plate becomes infinite in amplitude.

Keywords

References

  1. Alisjahbana, S.W. and Wangsadinata, W. (2007), "Dynamic response of damped orthotropic plate on Pasternak foundation to dynamic moving loads", Proceeding of ISEC-4, Melbourne, Australia, September.
  2. Alisjahbana, S.W. and Wangsadinata, W. (2008), "Dynamic response of rigid concrete pavements under dynamic traffic loads", Proceeding of the EASEC-11, Taipei, November.
  3. Beskou, N.D. and Theodorakopoulos, D.D. (2011), "Dynamic effects of moving loads on road pavements", Soil Dyn. Earthq. Eng., 31(4), 547-567. https://doi.org/10.1016/j.soildyn.2010.11.002
  4. Cao, C., Wong, W.G., Zhong, Y. and Cheung, L.W. (2008), "Dynamic response of rigid pavements due to moving vehicle load with acceleration", Proceedings of the Symposium on Pavement Mechanics and Materials at the Inaugural International Conference of Engineering Mechanics Institute, Minneapolis, USA, May.
  5. Gbadeyan, J.A. and Oni, S.T. (1992), "Dynamic response to moving concentrated masses of elastic plates on a non-Winkler elastic foundation", J. Sound. Vib., 154(2), 343-358. https://doi.org/10.1016/0022-460X(92)90585-L
  6. Gong, L. (2008), Dynamic analysis of long-span bridge subjected to traffic loading, Dissertation, University of Ottawa, Canada.
  7. Kang, H. and Zhang, G. (2007), "Special function analysis method of dynamic response of rigid pavement under vehicle load", Proceeding of the International Conference on Transportation Engineering (ICTE 2007), Chengdu, China, July.
  8. Kim, S.M. and Roesset, J.M. (1998), "Moving loads on a plate on elastic foundation", J. Eng. Mech.-ASCE, 124(9), 1010-1016. https://doi.org/10.1061/(ASCE)0733-9399(1998)124:9(1010)
  9. Matsunaga, H. (2000), "Vibration and stability of thick plates on elastic foundations", J. Eng. Mech.-ASCE, 126(1), 27-34. https://doi.org/10.1061/(ASCE)0733-9399(2000)126:1(27)
  10. Michaltsos, G.T. and Raftoyiannis, I.G. (2009), "The influence of different support movements and heights of piers on the dynamic behavior of bridges. Part I: Earthquake acting transversely to the deck", Interact. Multiscale Mech., 2(4), 431-454. https://doi.org/10.12989/imm.2009.2.4.431
  11. Pevzner, P. (2000) "Further modification of Bolotin method in vibration analysis of rectangular plates", AIAA J., 38(9), 1725-1729. https://doi.org/10.2514/2.1159
  12. Saha, K.N. (1997), "Dynamic stability of a rectangular plate on non-homogeneous Winkler foundation", Comput. Struct., 63(6), 1213-1222. https://doi.org/10.1016/S0045-7949(96)00390-2
  13. Sun, L. (2006), "Analytical dynamic displacement response of rigid pavements to moving concentrated and line loads", Int. J. Solids Struct., 43(14-15), 4370-4383. https://doi.org/10.1016/j.ijsolstr.2005.06.105

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