JOURNAL BROWSE
Search
Advanced SearchSearch Tips
Comparative dynamic analysis of axially loaded beams on modified Vlasov foundation
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
Comparative dynamic analysis of axially loaded beams on modified Vlasov foundation
Hizal, Caglayan; Catal, Hikmet Huseyin;
 Abstract
Vibration analysis of the beams on elastic foundation has gained the great interest of many researchers. In the literature, there are many studies that focus on the free vibration analysis of the beams on one or two parameter elastic foundations. On the other hand, there are no sufficient studies especially focus on the comparison of dynamic response including the bending moment and shear force of the beams resting on Winkler and two parameter foundations. In this study, dynamic response of the axially loaded Timoshenko beams resting on modified Vlasov type elastic soil was investigated by using the separation of variables method. Governing equations were obtained by assuming that the material had linear elastic behaviour and mass of the beam was distributed along its length. Numerical analysis were provided and presented in figures to find out the differences between the modified Vlasov model and conventional Winkler type foundation. Furthermore, the effect of shear deformation of elastic soil on the dynamic response of the beam was investigated.
 Keywords
Vlasov type foundation;Timoshenko beam;forced vibration;separation of variables method;
 Language
English
 Cited by
 References
1.
Arbeloda-Monsalve, L., Zapata-Medina, D.G. and Aristazabal-Ochoa, J.D. (2008), "Timoshenko beamcolumn with generalized end conditions on elastic foundation: dynamic stiffness matrix and load vector", J. Sound Vib., 310(4-5), 1057-1079 crossref(new window)

2.
Attarnejad, R., Semnani, S.J. and Shahba, A. (2010), "Basic displacement functions for free vibration analysis of non-prismatic Timoshenko beams", Finite Elem. Anly. Des., 46(10), 916-929. crossref(new window)

3.
Avramidis, I.E. and Morfidis, K. (2006), "Bending of beams on three-parameter elastic foundation", Int. J. Solid. Struct., 43(2), 357-375. crossref(new window)

4.
C alim, F.F. (2009)," Dynamic analysis of beams on viscoelastic foundation", Eur. J. Mech. A/Solid., 88(2), 89-94.

5.
C alim, F.F. and Akkurt, F.G. (2010), "Static and free vibration analysis of a straight and circular beams on elastic foundation", Mech. Res. Commun., 38(2), 89-94.

6.
C atal, S. and C atal, H.H. (2006), "Buckling analysis of partially embedded pile in elastic soil using differential transform method", Struct. Eng. Mech., 24(2), 247-268. crossref(new window)

7.
C atal, H.H. (2002), "Free vibration of partially embedded piles with the effects of the bending moment,axial and shear force", Eng. Struct., 24(12), 1615-1622. crossref(new window)

8.
Cao, C. and Zhong Y. (2008), "Dynamic response of a beam on a Pasternak foundation and under a moving load", J. Chongqing Univ., 7(4), 1671-8224.

9.
C atal, H.H. (2006), "Free vibration of semi-rigid connected and partially embedded piles with the effect of the bending moment, axial and shear force", Eng. Struct., 28(14), 1911-1918. crossref(new window)

10.
C atal, S. and C atal, H.H. (2006), "Buckling analysis of partially embedded pile in elastic soil using the differential transform method", Struct. Eng. Mechs., 42(1), 247-268.

11.
C atal, S. (2012), "Response of forced Euler-Bernoulli beam using the differential transform method", Struct. Eng. Mech., 24(2), 247-268.

12.
Celep, Z., Guler, K. and Demir, F. (2011), "Response of a completely free beam on tensionless Pasternak foundation subjected to dynamic load", Struct. Eng. Mechs., 37(1), 61-77. crossref(new window)

13.
Chen, W.Q., Lu, C.F. and Bian, Z.G. (2004), "A mixed method for bending and free vibration of beams resting on a Pasternak elastic foundation", App. Math. Model., 28(10), 877-890. crossref(new window)

14.
Chopra, A.K. (2007), Dynamics of Structures Theory And Applications, Prentice Hall-New Jersey.

15.
Dadfarnia, M., Jalili, N. and Esmailzadeh, E. (2005), "A comparative study of the Galerkin approximation utilized in the Timoshenko beam theory", J. Sound Vib., 280, 1132-1142. crossref(new window)

16.
Demirdag, O. and C atal, H.H. (2007), "Earthquake response of semi-rigid supported single storey frames modeled as continuous system", J. Sound Vib., 25(6), 767-70.

17.
Demirdag, O. (2008), "Free vibration analysis of elastically supported Timoshenko columns with attached masses by transfer matrix and finite element methods", Sadhana, 33, 57-68. crossref(new window)

18.
Friswell, M.I., Adhikari, S. and Lei, Y. (2007), "Vibration analysis of beams with non-local foundations using the finite element method", Int. J. Numer. Meth. Eng., 71(11), 1365-1386. crossref(new window)

19.
Gunda, J.B., Gupta, R.K., Janardhan, G.R. and Rao, G.V. (2011), "Large amplitude vibration analysis of composite beams: Simple closed-form solutions", Comput. Struct., 92(8), 1947-1956.

20.
Ma, X., Butterworth, J.W. and Clifton, G.C. (2009), "Static analysis of of an infinite beam resting on a tensionless Pasternak foundation", Eur. J. Mech. A/Solid., 28(4), 697-703. crossref(new window)

21.
Malekzadeh, P. and Karami, G. (2008), "A mixed differential quadrature and finite element free vibration and buckling analysis of thick beams on two-parameter elastic foundations", Appl. Math. Model., 32, 1381-1394 crossref(new window)

22.
Morfidis, K. and Avramidis, I.E. (2002), "Formulation of a generalized beam element on a two-parameter elastic foundation with semi-rigid connections and rigid offsets", Comput. Struct., 80(25), 1919-1934. crossref(new window)

23.
Morfidis, K. (2007), "Exact matrices for beams on three-parameter elastic foundation", Comput. Struct., 85(15-16), 1243-1256. crossref(new window)

24.
Morfidis, K. (2010), "Vibration of a Timeshonko beam on three-parameter elastic foundation", Comput. Struct., 88(5-6), 294-308. crossref(new window)

25.
Pasternak P.L. (1954), On a new method of analysis on elastic foundation by means of two constants, Gosudarstvennoe Izdatel'stvo Literaturi po Stroitel'stvu i Arkhitekture.

26.
Sapountzakis, E.J. and Kampitsis, A.E. (2010), "Nonlinear dynamic analysis of Timoshenko beam-columns partially supported on tensionless Winkler foundation", Comput. Struct., 88(21-22), 1206-1219. crossref(new window)

27.
Timoshenko, S., Young, D.H. and Weaver, W. (1974), Vibration Problems in Engineering, Fourth Edition, Wiley, New York.

28.
Vlasov, V.Z. and Leont'ev, U.N. (1966), Beams, plates and shells on elastic foundations, Israel Program for Scientific Translations, Jerusalem.

29.
Wang, J. and Qiao, P. (2007), "Vibration of beams with arbitrary discontinuities and boundary conditions", J. Sound Vib., 308(1-2), 12-27. crossref(new window)

30.
Yaghoobi, H., Valipour, M.S., Fereidoon, A. and Khoshnevisrad, P. (2014), "Analytical study on postbuckling and nonlinear free vibration analysis of FG beams resting on nonlinear elastic foundation under thermo-mechanical loadings using VIM", Struct. Compos. Struct., 17(5), 753-776. crossref(new window)

31.
Yesilce, Y. and C atal, H.H. (2008), "Free vibration of piles embedded in soil have different modulus of subgrade reaction", Appl. Math. Model., 32, 889-900. crossref(new window)

32.
Yesilce, Y. and C atal, S. (2009), "Free vibration of axially loaded Reddy-Bickford beam on elastic soil using the differential transform method", Struct. Eng. Mechs., 31(4), 453-476. crossref(new window)

33.
Yesilce, Y. (2011), "DTM and DQEM for free vibration of axially loaded and semi-rigid connected Reddy-Bickford beam", Int. J. Numer. Meth. Biom. Eng., 27(5), 666-693. crossref(new window)

34.
Yesilce, Y. and C atal, H.H. (2011), "Solution of free vibration equations of semi-rigid connected Reddy-Bickford beams resting on elastic soil using the differential transform method", Arch. Appl. Mech., 81(2), 199-213. crossref(new window)

35.
Zhaohua, F. and Cook, R.D. (1983), "Beam elements on two-parameter elastic foundations", J. Eng. Mech., 109(6), 1390-402. crossref(new window)