DOI QR코드

DOI QR Code

A consistent FEM-Vlasov model for laminated orthotropic beams subjected to moving load

  • Ozgan, Korhan (Department of Civil Engineering, Karadeniz technical University)
  • Received : 2016.10.19
  • Accepted : 2017.06.25
  • Published : 2017.10.10

Abstract

In the study, dynamic behavior of laminated orthotropic beams on elastic foundation is investigated. Consistent model presented here combines the finite element solution of the system with SAP2000 software and the calculation of soil parameters with MATLAB software using Modified Vlasov Model type elastic foundation. For this purpose, a computing tool is coded in MATLAB which employs Open Application Programming Interface (OAPI) feature of SAP2000 to provide two-way data flow during execution. Firstly, an example is taken from the literature to demonstrate the accuracy of the consistent FEM-Vlasov Model. Subsequently, the effects of boundary conditions, subsoil depth, elasticity modulus of subsoil, slenderness ratio, velocity of moving load and lamination scheme on the behavior of laminated orthotropic beams on elastic foundation are investigated on a new numerical example. It can be concluded that it is really convenient to use OAPI feature of SAP2000 to model this complex behavior of laminated orthotropic beams on elastic foundation under moving load.

Keywords

References

  1. Abu-Hilal, M. and Mohsen, M. (2000), "Vibration of beams with general boundary conditions due to a moving harmonic load", J. Sound Vib., 232(4), 703-717. https://doi.org/10.1006/jsvi.1999.2771
  2. Abu Hilal, M. and Zibdeh, H.S. (2000), "Vibration analysis of beams with general boundary conditions traversed by a moving force", J. Sound Vib., 229(2), 377-388. https://doi.org/10.1006/jsvi.1999.2491
  3. Aydogdu, M. (2005), "Vibration analysis of cross-ply laminated beams with general boundary conditions by Ritz method", Int. J. Mech. Sci., 47(11), 1740-1755. https://doi.org/10.1016/j.ijmecsci.2005.06.010
  4. Aydogdu, M. (2006), "Free vibration analysis of angle-ply laminated beams with general boundary conditions", J. Reinf. Plast. Compos., 25(15), 1571-1583. https://doi.org/10.1177/0731684406066752
  5. Huang, M.H. and Thambiratnam, D.P. (2002), "Dynamic response of plates on elastic foundation to moving loads", J. Eng. Mech., ASCE, 128(9), 1016-1022. https://doi.org/10.1061/(ASCE)0733-9399(2002)128:9(1016)
  6. Humar, J.N.J. (1990), Dynamic of Structures, Prentice-Hall, Inc., Englewood Cliffs, NJ.
  7. Jaiswal, O.R. and Iyengar, R.N. (1993), "Dynamic-response of a beam on elastic-foundation of finite depth under a moving force", Acta Mech., 96(1-4), 67-83. https://doi.org/10.1007/BF01340701
  8. Jones, R.M. (1975), Mechanics of Composite Materials, McGraw-Hill, New York.
  9. 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(3-4), 259-273. https://doi.org/10.1016/S0168-874X(98)00024-9
  10. Kadivar, M.H. and Mohebpour, S.R. (1998), "Forced vibration of unsymmetric laminated composite beams under the action of moving loads", Compos. Sci. Technol., 58(10), 1675-1684. https://doi.org/10.1016/S0266-3538(97)00238-8
  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. (2012), "Finite element dynamic analysis of laminated composite beams under moving loads", Struct. Eng. Mech., 42(5), 729-745. https://doi.org/10.12989/sem.2012.42.5.729
  13. Kim, S.M. (2004), "Buckling and vibration of a plate on elastic foundation subjected to in-plane compression and moving loads", Int. J. Solid. Struct., 41(20), 5647-5661. https://doi.org/10.1016/j.ijsolstr.2004.05.006
  14. Kiral, B.G. and Kiral, Z. (2009), "Effect of elastic foundation on the dynamic response of laminated composite beams to moving loads", J. Reinf. Plast. Compos., 28(8), 913-935. https://doi.org/10.1177/0731684407087382
  15. Kocaturk, T. and Simsek, M. (2006), "Dynamic analysis of eccentrically prestressed viscoelastic Timoshenko beams under a moving harmonic load", Comput. Struct., 84(31-32), 2113-2127. https://doi.org/10.1016/j.compstruc.2006.08.062
  16. Lee, S.Y. and Yhim, S.S. (2004), "Dynamic analysis of composite plates subjected to multi-moving loads based on a third order theory", Int. J. Solid. Struct., 41(16-17), 4457-4472. https://doi.org/10.1016/j.ijsolstr.2004.03.021
  17. Malekzadeh, P., Dehbozorgi, M. and Monajjemzadeh, S.M. (2015), "Vibration of functionally graded carbon nanotubereinforced composite plates under a moving load", Sci. Eng. Compos. Mater., 22(1), 37-55.
  18. Malekzadeh, P., Fiouz, A.R. and Razi, H. (2009), "Threedimensional dynamic analysis of laminated composite plates subjected to moving load", Compos. Struct., 90(2), 105-114. https://doi.org/10.1016/j.compstruct.2009.02.008
  19. Malekzadeh, P., Haghighi, M.R.G. and Gholamic, M. (2010), "Dynamic response of thick laminated annular sector plates subjected to moving load", Compos. Struct., 92(1), 155-163. https://doi.org/10.1016/j.compstruct.2009.07.020
  20. Malekzadeh, P. and Monajjemzadeh, S.M. (2015), "Nonlinear response of functionally graded plates under moving load", Thin Wall. Struct., 96, 120-129. https://doi.org/10.1016/j.tws.2015.07.017
  21. Malekzadeh, P. and Monajjemzadeh, S.M. (2016), "Dynamic response of functionally graded beams in a thermal environment under amoving load", Mech. Adv. Mater. Struct., 23(3), 248-258. https://doi.org/10.1080/15376494.2014.949930
  22. MATLAB (2009), The Language of Technical Computing, The Mathworks
  23. 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(3), 1118-1126. https://doi.org/10.1016/j.compstruct.2010.09.011
  24. Raftoyiannis, I.G., Avraam, T.P. and Michaltsos, G.T. (2012), "A new approach for loads moving on infinite beams resting on elastic foundation", J. Vib. Control, 18(12), 1828-1836. https://doi.org/10.1177/1077546311426440
  25. Reddy, J.N. (1997), Mechanics of Laminated Composite Plates: Theory and Analysis, CRC Press, New York.
  26. SAP2000 (2008), Integrated Finite Elements Analysis and Design of Structures, Computers and Structures
  27. Thambiratnam, D. and Zhuge, Y. (1996), "Dynamic analysis of beams on an elastic foundation subjected to moving loads", J. Sound Vib., 198(2), 149-169. https://doi.org/10.1006/jsvi.1996.0562
  28. Vallabhan, C.V.G., Straughan, W.T. and Das, Y.C. (1991), "Refined Model for Analysis of Plates on Elastic Foundations", J. Eng. Mech., ASCE, 117(12), 2830-2844. https://doi.org/10.1061/(ASCE)0733-9399(1991)117:12(2830)
  29. Vosoughi, A.R., Malekzadeh, P. and Razi, H. (2013), "Response of moderately thick laminated composite plates on elastic foundation subjected to moving load", Compos. Struct., 97, 286-295. https://doi.org/10.1016/j.compstruct.2012.10.017