Structural Engineering and Mechanics

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Buckling and vibration analysis of stiffened plate subjected to in-plane concentrated load

  • Srivastava, A.K.L. (Aerospace Engineering Department, I.I.T.) ;
  • Datta, P.K. (Aerospace Engineering Department, I.I.T.) ;
  • Sheikh, A.H. (Department of Ocean Engineering and Naval Architecture I.I.T.)
  • Received : 2002.03.20
  • Accepted : 2003.04.11
  • Published : 2003.06.25
⟨ Previous Next ⟩

Abstract

The buckling and vibration characteristics of stiffened plates subjected to in-plane concentrated edge loading are studied using finite element method. The problem involves the effects of non-uniform stress distribution over the plate. Buckling loads and vibration frequencies are determined for different plate aspect ratios, boundary edge conditions and load positions. The non-uniform stresses may also be caused due to the supports on the edges. The analysis presented determines the initial stresses all over the region considering the pre-buckling stress state for different kinds of loading and edge conditions. In the structural modeling, the plate and the stiffeners are treated as separate elements where the compatibility between these two types of elements is maintained. The vibration characteristics are discussed and the results are compared with those available in the literature and some interesting new results are obtained.

Keywords

References

  1. Alfutov, N.A. and Balabukh, L.I. (1967), "On the probability of solving plate stability problems without preliminary determination of the initial state of stresses", Prikl. Mat. Mekh., 31, 730-736.
  2. Baker, G. and Pavolic, M.N. (1982), "Elastic stability of simply supported rectangular plates under locally distributed edge forces", J. Appl. Mech., 49, 177-179. https://doi.org/10.1115/1.3161962
  3. Bassily, S.F. and Dickinson, S.M. (1972) "Buckling and lateral vibration of rectangular plates subjected to inplane loads- A Ritz approach", J. Sound Vib., 24, 219-239. https://doi.org/10.1016/0022-460X(72)90951-0
  4. Brown, C.J. (1989), "Elastic stability of plates subjected to concentrated loads", Comput. Struct., 33(5), 1325- 1327. https://doi.org/10.1016/0045-7949(89)90469-0
  5. Brown, C.J. and Yettram, A.L. (1986), "The elastic stability of stiffened plates using the conjugate load displacement method", Comput. Struct., 23(3), 385-391. https://doi.org/10.1016/0045-7949(86)90230-0
  6. Corr, R.B. and Jennings, A.A. (1976), "Simultaneous iteration for symmetric eigen value problem", Int. J. Numer. Meth. Engng., 10, 647-663. https://doi.org/10.1002/nme.1620100313
  7. Dawe, D.J. (1969), "Application of the discrete element method to the buckling analysis of rectangular plates under arbitrary membrane loadings", Aeronautical Quart, 20, 114-128. https://doi.org/10.1017/S0001925900004935
  8. Deolasi, P.J., Datta, P.K. and Prabhakar, D.L. (1995), "Buckling and vibration of rectangular plates subjected to partial edge loading (Compression or tension)", J. Struct. Eng., 22(3), 135-144.
  9. Deolasi, P.J. (1996), "Parametric instability characteristics of plates subjected to non-uniform in plane and follower edge loading with damping", Thesis of Ph.D, I.I.T Kharagpur.
  10. Dickinson, S.M. and Kalidas, M.M. (1981), "Vibration and buckling calculation for rectangular plates subjected to complicated in-plane stress distribution by using numerical integration in a Rayleigh-Ritz analysis", J. Sound Vib., 75, 151-162. https://doi.org/10.1016/0022-460X(81)90336-9
  11. Grimm, T.R. and Gerdeen, J.C. (1975), "Instability analysis of thin rectangular plates using the Kantorovich method", J. Appl. Mech., 42, 110-114. https://doi.org/10.1115/1.3423499
  12. Leggett, D.M.A. (1937), "The effect of two isolated forces on the elastic stability of a flat rectangular plate", Proc. of the Cambridge Philosophical Society, 33, 325-329. https://doi.org/10.1017/S0305004100019708
  13. Leissa, A.W. and Ayub, E.F. (1988), "Vibration and buckling of simply supported rectangular plate subjected to a pair of in-plane concentrated forces", J. Sound Vib., 127(1), 155-171. https://doi.org/10.1016/0022-460X(88)90356-2
  14. Mukhopadhyay, M. and Mukharjee. (1990) "A finite element buckling analysis of stiffened plates", Comput. Struct., 34(6), 795-803. https://doi.org/10.1016/0045-7949(90)90350-B
  15. Sommerfield, A. (1906), "Uber die knicksicherheiet der Stege von walzewerkprofilen, Zeitschrift fur Mathematik und Physik", 54, 113-153.
  16. Spencer, H.H. and Surjanhata, H. (1985), "Plate buckling under partial edge loading. Developments in Mechanics", Proc. of the 19th Midwestern Mech. Conf., 13, 83-84.
  17. Sundersasan, P., Singh, G. and Rao, G.V. (1998), "Buckling of moderately thick rectangular composite plates subjected to partial edge compression", Int. J. Mech. Sci., 40(11), 1105-1117. https://doi.org/10.1016/S0020-7403(98)00009-5
  18. Timoshenko, S.P. and Gere, J.M. (1961), Theory of Elastic Stability., 2nd edition. McGraw- Hill, New York.

Cited by

  1. Buckling response of laminated composite stiffened plates subjected to partial in-plane edge loading vol.17, pp.5-6, 2016, https://doi.org/10.1080/15502287.2016.1231235
  2. A point receptance array approach for stiffened panel structures vol.52, pp.10, 2010, https://doi.org/10.1016/j.ijmecsci.2010.06.005
  3. Vibration and buckling analyses of laminated panels with and without cutouts under compressive and tensile edge loads vol.21, pp.1, 2016, https://doi.org/10.12989/scs.2016.21.1.037