Steel and Composite Structures

  • 제3권6호
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  • Pages.439-450
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  • 2003
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  • 1229-9367(pISSN)
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  • 1598-6233(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Buckling and vibration of symmetric laminated composite plates with edges elastically restrained

  • Ashour, Ahmed S. (Faculty of Engineering, International Islamic University Malaysia)
  • 투고 : 2002.11.18
  • 심사 : 2003.05.15
  • 발행 : 2003.12.25
⟨ 이전 논문 다음 논문 ⟩

초록

The finite strip transition matrix technique, a semi analytical method, is employed to obtain the buckling loads and the natural frequencies of symmetric cross-ply laminated composite plates with edges elastically restrained against both translation and rotation. To illustrate the accuracy and the validation of the method several example of cross play laminated composite plates were analyzed. The buckling loads and the frequency parameters are presented and compared with available results in the literature. The convergence study and the excellent agreement with known results show the reliability of the purposed technique.

키워드

참고문헌

  1. Ashour, A.S. (2001), "A semianalytical solution of the flexural vibration of orthotropic plates of variable thickness", J. Sound Vib., 240, 431-445. https://doi.org/10.1006/jsvi.2000.3238
  2. Bank, L.C. and Yin, J. (1996), "Buckling of orthotropic plates with free and rotationally restrained unloaded edges", Thin-Walled Structures, 24(1), 83-96. https://doi.org/10.1016/0263-8231(95)00036-4
  3. Cheung, Y.K. and Zhou, D. (2000), "Vibration of rectangular plates with elastic intermediate line-supports and edges constraints", Thin-Walled Structures, 37, 305-331. https://doi.org/10.1016/S0263-8231(00)00015-X
  4. Farag, A.M. (1994), "Mathematical analysis of free and forced vibration of rectangular plate", Ph.D. thesis, Faculty of Engineering, Alexandria University, Alexandria, Egypt.
  5. Farag, A.M. and Ashour, A.S. (2000), "Free vibration of orthotropic skew plate", ASME J. Vibration Acoustics, 122, 313-317. https://doi.org/10.1115/1.1302085
  6. Gorman, D.J. (2000), "Free vibration and buckling of in-plane loaded plates with rotational elastic edge support", J. Sound Vib., 229(4), 755-773. https://doi.org/10.1006/jsvi.1999.2527
  7. Grossi, R.O., Bhat, R.B. (1995), "Natural frequencies of edge restrained tapered rectangular plates", J. Sound Vib., 185(5), 335-343. https://doi.org/10.1006/jsvi.1995.0382
  8. Khdeir, A.A. (1988), "Free vibration and buckling of symmetric cross-play laminated plates by an exact method", J. Sound Vib., 126(3), 447-461. https://doi.org/10.1016/0022-460X(88)90223-4
  9. Kobayashi, H., Sonoda, K. (1991), "Vibration and buckling of tapered rectangular plates with two opposite edges simply supported and the other two edges elastically restrained against rotation", J. Sound Vib., 146(2), 323-337. https://doi.org/10.1016/0022-460X(91)90766-D
  10. Lee, S.Y., Lin, S.M. (1992), "Free vibrations of elastically restrained non-uniform plates", J. Sound Vib., 158(1), 121. https://doi.org/10.1016/0022-460X(92)90668-N
  11. Paik, J.K. and Thayamballi, A.K. (2000) "Buckling strength of steel plating with elastically restrained edges", Thin-Walled Structures, 37(1), 27-55. https://doi.org/10.1016/S0263-8231(00)00009-4
  12. Rais-Rohani, M. and Marcellier, P. (1999) "Buckling and vibration analysis of composite sandwich plates with elastic rotational edge restraints", AIAA Journal, 37(5), 579-587. https://doi.org/10.2514/2.776
  13. Reddy, K.R. and Palaninathan, R. (1995), "Buckling of laminated skew plates", Thin-Walled Struct., 22(4), 241-259. https://doi.org/10.1016/0263-8231(94)00033-V
  14. Saha, K.N., Kar, R.C. and Datta, P.K. (1996), "Free vibration analysia of rectangular Mindlin plates with elastic restraints uniformly distribution alomg the edges", 192(4), 885-904. https://doi.org/10.1006/jsvi.1996.0223
  15. Sinha, G. (2000), "Transverse free vibration of stiffened plates/shells with elastically restrained edges by FEM", International Shipbuilding Progress, 47(450), 191-214.
  16. Wang, S. (1997a), "Buckling analysis of skew fibre-reinforced composite laminates based on first-order shear deformation plate theory", Compos. Struct., 37(1), 5-19. https://doi.org/10.1016/S0263-8223(97)00050-0
  17. Wang, S. (1997b), "Buckling of thin skew fibre-reinforced composite laminates", Thin-Walled Structures, 28(1), 21-41. https://doi.org/10.1016/S0263-8231(97)87375-2
  18. Whitney, J.M. (1987), "Structure analysis of laminated anisotropic plate", Technomic Publishing Company, Lancaster, Pennsylvania.
  19. Xiang, Y., Liew, K.M., and Kitipornchai, S. (1997) "Vibration analysis of rectangular Mindlin plates resting on elastic edge supports", J. Sound Vib., 204, 1-16. https://doi.org/10.1006/jsvi.1996.0922
  20. Zhou, D. (1995), "Natural frequencies of elastically restrained rectangular plates using a set of static beam functions in the Rayleigh-Ritz method", Comput. Struct. 57(4), 731-735. https://doi.org/10.1016/0045-7949(95)00066-P
  21. Zurmuhl, R. (1976), Numerical Analysis for Engineers and Physicists, SpringerVerlag Berlin Heidelberg, New York.

피인용 문헌

  1. On the existence of weak solutions of anisotropic generally restrained plates vol.32, pp.11, 2008, https://doi.org/10.1016/j.apm.2007.07.015
  2. Free vibration analysis of laminated composite plates with elastically restrained edges using FEM vol.3, pp.2, 2013, https://doi.org/10.2478/s13531-012-0062-9
  3. Vibration of angle-ply symmetric laminated composite plates with edges elastically restrained vol.74, pp.3, 2006, https://doi.org/10.1016/j.compstruct.2005.04.003
  4. 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
  5. Dynamic stiffness matrix of composite box beams vol.9, pp.5, 2003, https://doi.org/10.12989/scs.2009.9.5.473
  6. Shear buckling analysis of laminated plates on tensionless elastic foundations vol.24, pp.6, 2003, https://doi.org/10.12989/scs.2017.24.6.697
  7. A coupled Ritz-finite element method for free vibration of rectangular thin and thick plates with general boundary conditions vol.28, pp.6, 2018, https://doi.org/10.12989/scs.2018.28.6.655
  8. Free vibration analysis of angle-ply laminated composite and soft core sandwich plates vol.33, pp.5, 2019, https://doi.org/10.12989/scs.2019.33.5.663