Symmetrically loaded beam on a two-parameter tensionless foundation

Structural Engineering and Mechanics

Volumn 27, Issue 5, 2007, Pages 555-574

  Celep, Z ^a   Demir, F ^b  

^a ISTANBUL TECHNICAL UNIVERSITY   (Turkey)

^b SULEYMAN DEMIREL UNIVERSITY   (Turkey)

Author keywords

Elastic beam; Lift off; Two parameter foundation

Indexed keywords

BEAMS AND GIRDERS; NONLINEAR ANALYSIS; NUMERICAL METHODS; PROBLEM SOLVING;

BEAM-FOUNDATION SYSTEM; ELASTIC BEAM; TWO PARAMETER FOUNDATION;

FOUNDATIONS;

EID: 36448959125     PISSN: 12254568     EISSN: None     Source Type: Journal    
DOI: 10.12989/sem.2007.27.5.555     Document Type: Article

References (38)

1. Celep, Z. (1984), "Dynamic response of a circular beam on a Wieghardt-type elastic foundation", Zeitschrift für angewandte Mathematik and Mechanik, 64(7), 279-286.
2. Celep, Z. (1990), "In-plane vibrations of circular rings on a tensionless foundation", J. Sound Vib., 143(3), 461-471.
3. Celep, Z. and Demir, F. (2005), "Circular rigid beam on a tensionless two-parameter elastic foundation", Zeitschrift für Angewandte matik und Mechanik, 85(6), 431-439.
4. 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.
5. Çatal, S. (2006), "Analysis of free vibration of beam on elastic soil using differential transform method", Struct. Eng. Mech., 24(1), 51-62.
6. Çoşkun, İ. (2003), "The response of a finite beam on a tensionless Pasternak foundation subjected to a harmonic load", Euro. J. Mech. - A/Solids, 22(1), 151-161.
7. De Rosa, M.A. (1995), "Free vibrations of Timoshenko beams on two-parameters elastic foundation", Comput. Struct, 57(1), 151-156.
8. Eisenberger, M. and Bielak, J. (1992), "Finite beams on infinite two-parameter elastic foundations", Comput. Struct, 42(4), 661-664.
9. El-Mously, M. (1999), "Fundamental frequencies on Timoshenko beams mounted on Pasternak foundation", J. Sound Vib., 228(2), 452-457.
10. Filipich, C.P. and Rosales, M.B. (1988), "A variant of Rayleigh's method applied to Timoshenko beams embedded in a Winkler-Pastemak medium", J. Sound Vib., 124(3), 443-451.
11. Filipich, C.P. and Rosales, M.B. (2002), "A further study about the behavior of foundation piles and beams in a Winkler-Pasternak soil", Int. J. Mech. Sci., 44(1), 21-36.
12. Franciosi, C. and Masi, A. (1993), "Free vibrations of foundation beams on two-parameter elastic soil", Comput. Struct., 47(3), 419-426.
13. Güler, K. (2004), "Circular elastic plate resting on tensionless Pasternak foundation", J. Eng. Mech., ASCE, 130(10), 1251-1254.
14. Gülkan, P. and Alemdar, B.N. (1999), "An exact finite element for a beam on a two-parameter elastic foundation: A revisit", Struct. Eng. Mech., 7(3), 259-276.
15. Kerr, A.D. (1964), "Elastic and viscoelastic foundation models", J. Appl. Mech. ASME, 31, 491-498.
16. Kerr, A.D. (1976), "On the derivations of well-posed boundary value problems in structural mechanics", Int. J. Solids Struct., 12(1), 1-11.
17. 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.
18. Kerr, A.D. and Soicher, N.E. (1996), "A peculiar set of problems in linear structural mechanics", Int. J. Solids Struct, 33(6), 899-911.
19. Lin, L. and Adams, G.O. (1987), "Beams on tensionless elastic foundation", J. Eng. Mech., ASCE, 113(4), 542-553.
20. Mallik, A.K., Chandra, S. and Singh, A.B. (2006), "Steady-state response of an elastically supported infinite beam to a moving load", J. Sound Vib., 291(3-5), 1148-1169.
21. Matsunaga, H. (1999), "Vibration and buckling of deep beam-columns on two-parameter elastic foundations", J. Sound Vib., 228(2), 359-376.
22. Morfidis, K. and Avamidis, I.E. (2002), "Formulation of a generalized beam element on a two-parameter elastic with semi-rigid connections and rigid offsets", Comput. Struct, 80(25), 1919-1934.
23. Narasimba, G.K. (1973), "Buckling of beams supported by Pasternak foundation", J. Eng. Mech., ASCE, 99(3), 565-579.
24. Nogami, T. and O'Neill, M.W. (1985), "Beam on generalized two-parameter foundation", J. Eng. Mech., ASCE, 111(5), 664-679.
25. Onu, G. (2000), "Shear effect in beam finite element on two-parameter elastic foundation", J. Struct. Eng., ASCE, 126(9), 1104-1107.
26. Rades, M. (1970), "Steady-state response of a finite beam on a Pasternak-type foundation", Int. J. Solids Struct, 6, 739-756.
27. Rao, G.V. (2003), "Large-amplitude free vibrations of uniform beams on Pasternak foundation", J. Sound Vib., 263(4), 954-960.
28. Razaqpur, A.G. and Shah, K.R. (1991), "Exact analysis of beams on two-parameter elastic foundations", Int. J. Solids Struct, 27(4) 435-454.
29. Shen, H.-S. and Yu, L. (2004), "Nonlinear bending behavior of Reissner-Mindlin plates with free edges resting on tensionless elastic foundation", Int. J. Solids Struct, 41(16-17), 4809-4825.
30. Smith, T. (1969), "Buckling of a beam on a Wieghardt-type elastic foundation", Zeitschrift für angewandte Mathematik and Mechanik, 43, 641-645.
31. Tsai, N.C. and Westmann, R.E. (1967), "Beams on tensionless foundation", J. Eng. Mech., ASCE, 93, 1-12.
32. Wang, T.M. and Gagnon, M.J. (1978), "Vibrations of continuous Timoshenko beams on Winkler-Pasternak foundations", J. Sound Vib., 59(2), 211-220.
33. Wang, T.M. and Stephens, J.E. (1977), "Natural frequencies of Timoshenko beams on Pasternak foundations", J. Sound Vib., 51(2), 149-155.
34. Weisman, Y. (1970), "On foundations that react in compression only", J. Appl. Mech., ASME, 37(7), 1019-1030.
35. 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.
36. Ylinen, A. and Mikkola, M. (1967), "A beam on a Wieghardt-type elastic foundation", Int. J. Solids Struct, 3, 617-633.
37. Yokoyama, T. (1991), "Vibrations of Timoshenko beam-columns on two-parameter elastic foundations", Earthq. Eng Struct. Dyn., 20(4), 355-370.
38. Zhang, Y. and Murphy, K.D. (2004), "Response of a finite beam in contact with a tensionless foundation under symmetric and asymmetric loading", Int. J. Solids Struct, 41(24-25), 6745-6758.