Browse > Article
http://dx.doi.org/10.12989/sem.2011.37.1.061

Response of a completely free beam on a tensionless Pasternak foundation subjected to dynamic load  

Celep, Z. (Department of Structural and Earthquake Engineering, Faculty of Civil Engineering, Istanbul Technical University)
Guler, K. (Department of Structural and Earthquake Engineering, Faculty of Civil Engineering, Istanbul Technical University)
Demir, F. (Department of Civil Engineering, Faculty of Civil Engineering, Suleyman Demirel University)
Publication Information
Structural Engineering and Mechanics / v.37, no.1, 2011 , pp. 61-77 More about this Journal
Abstract
Static and dynamic responses of a completely free elastic beam resting on a two-parameter tensionless Pasternak foundation are investigated by assuming that the beam is symmetrically subjected to a uniformly distributed load and concentrated load at its middle. Governing equations of the problem are obtained and solved by paying attention on the boundary conditions of the problem including the concentrated edge foundation reaction in the case of complete contact and lift-off condition of the beam ina two-parameter foundation. The nonlinear governing equation of the problem is evaluated numerically by adopting an iterative procedure. Numerical results are presented in figures to demonstrate the non-linear behavior of the beam-foundation system for various values of the parameters of the problem comparatively by considering the static and dynamic loading cases.
Keywords
elastic beam; two-parameter foundation; lift-off;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
Times Cited By Web Of Science : 4  (Related Records In Web of Science)
Times Cited By SCOPUS : 4
연도 인용수 순위
1 Coskun, . and Engin, H. (1999), "Non-linear vibrations of a beam on an elastic foundation", J. Sound Vib., 223(3), 335-354.   DOI   ScienceOn
2 Coskun, I., Engin, H. and Ozmutlu, A. (2008), "Response of a finite beam on a tensionless Pasternak foundation under symmetric and asymmetric loading", Struct. Eng. Mech., 30(1), 21-36.   DOI
3 Dempsey, J.P., Keer, L.M., Patel, N.B. and Glasser, M.L. (1984), "Contact between plates and unilateral supports", J. Appl. Mech., 51, 324-328.   DOI
4 Guler, K. (2004), "Circular elastic plate resting on tensionless Pasternak foundation", J. Eng. Mech.-ASCE, 130(10), 1251-1254.   DOI   ScienceOn
5 Guler, K. and Celep, Z. (1995), "Static and dynamic responses of a circular plate on a tensionless elastic foundation", J. Sound Vib., 183(2), 185-195.   DOI   ScienceOn
6 Hong, T., Teng, J.G. and Luo, Y.F. (1999), "Axisymmetric shells and plates on tensionless elastic foundations", Int. J. Solids Struct., 36, 5277-5300.   DOI   ScienceOn
7 Hsu, M.H. (2006), "Mechanical analysis of non-uniform beams resting on nonlinear elastic foundation by the differential quadrature method", Struct. Eng. Mech., 22(3), 279-292.   DOI
8 Kerr, A.D. (1964), "Kerr, Elastic and viscoelastic foundation models", J. Appl. Mech.-ASME, 31, 491-498.   DOI
9 Kerr, A.D. (1976), "On the derivation of well posed boundary value problems in structural mechanics", Int. J. Solids Struct., 12(1), 1-11.   DOI   ScienceOn
10 Kerr, A.D. and Coffin, D.W. (1991), "Beams on a two-dimensional Pasternak base subjected to loads that cause lift-off", Int. J. Solids Struct., 28(4), 413-422.   DOI   ScienceOn
11 Lin, L. and Adams, G.O. (1987), "Beams on tensionless elastic foundation", J. Eng. Mech.-ASCE, 113(4), 542-553.   DOI   ScienceOn
12 Ma, X., Butterworth, J.W. and Clifton, G.C. (2009), "Static analysis of an infinite beam resting on a tensionless Pasternak foundation", Eur. J. Mech. A-Solid., 28, 697-703.   DOI   ScienceOn
13 Silva, A.R.D., Silveira, R.A.M. and Gonçalves, P.B. (2001), "Numerical methods for analysis of plates on tensionless elastic foundations", Int. J. Solids Struct., 38, 2083-2100.   DOI   ScienceOn
14 Tsai, N.C. and Westmann, R.E. (1967), "Beams on tensionless foundation", J. Eng. Mech.-ASCE, 93, 1-12.
15 Weisman, Y. (1970), "On foundations that react in compression only, J. Appl. Mech.-ASME, 37(7), 1019-1030.   DOI
16 Weisman, Y. (1971), "Onset of separation between a beam and a tensionless elastic foundation under a moving load", Int. J. Mech. Sci., 13, 707-711.   DOI   ScienceOn
17 Celep, Z. and Demir, F. (2007), "Symmetrically loaded beam on a two-parameter tensionless foundation", Struct. Eng. Mech., 27(5), 555-574.   DOI
18 Celep, Z. (1984), "Dynamic response of a circular beam on a Wieghardt-type elastic foundation", Zeitschrift fur angewandte Mathematik and Mechanik, 64(7), 279-286.   DOI
19 Celep, Z. (1988), "Circular plate on tensionless Winkler foundation", J. Eng. Mech., 114(10), 1723-1739.   DOI   ScienceOn
20 Celep, Z. and Demir, F. (2005), "Circular rigid beam on a tensionless two-parameter elastic foundation", Zeitschrift fur angewandte Mathematik and Mechanik, 85(6), 431-439.   DOI   ScienceOn
21 Celep, Z. and Genco lu, M. (2003), "Forced vibrations of rigid circular plate on a tensionless Winkler edge support", J. Sound Vib., 263(4), 945-953.   DOI   ScienceOn
22 Celep, Z. and Guler, K. (2004), "Static and dynamic responses of a rigid circular plate on a tensionless Winkler foundation", J. Sound Vib., 276(1-2), 449-458.   DOI
23 Celep, Z. and Guler, K. (2007), "Axisymmetric forced vibrations of an elastic free circular plate on a tensionless two-parameter foundation", J. Sound Vib., 301(3-5), 495-509.   DOI
24 Celep, Z., Malaika, A. and Abu Hussein, M. (1989), "Force vibrations of a beam on a tensionless foundation", J. Sound Vib., 128(2), 235 246.   DOI   ScienceOn
25 Celep, Z. and Turhan, D. (1990), "Axisymmetric vibrations of circular plates on tensionless elastic foundations", J. Appl. Mech., 57(9), 677-681.   DOI
26 Celep, Z., Turhan, D. and Al-Zaid, R.Z. (1988), "Circular elastic plates on elastic unilateral edge supports", J. Appl. Mech., 55(3), 624-628.   DOI
27 Coskun, . (2003), "The response of a finite beam on a tensionless Pasternak foundation subjected to a harmonic load", Eur. J. Mech. A-Solid., 22(1), 151-161.   DOI   ScienceOn